Strong Gradient Channel | ProjectSyndicateStrong Gradient Channel combines a full order-flow volume profile along the slope of a linear-regression channel, splits every price level into real buy and sell mass, grades the auction, and projects a forward route that stays locked inside the channel walls. It is not a channel with an indicator bolted on — the channel, the profile, the order flow and the outlook are one connected engine, and every number on the panel is measured, not invented.
USDJPY
🟥🟩 IMPORTANT INFO: The channel, the volume profile and the deviation walls are all computed over the same regression window, so the tool self-calibrates to whatever you load it on. Defaults are tuned for a wide 480-bar window on HLC3. Works on any symbol and timeframe; on very high timeframes drop the Channel Length so the profile stays representative of current structure.
📐 A Volume Profile That Follows the Trend — the core of this tool. Every other volume profile is drawn as flat horizontal rows, which quietly assumes price has no trend. This one doesn't. The profile is poured along the regression slope, so each row is a parallelogram tracking the channel's gradient. In a trending market that means the POC, the value area and every heavy level sit where volume actually built — on the diagonal — instead of being smeared into a flat histogram that ignores the move. The result is a value map that tells the truth about a sloped market.
🧲 Real Buy / Sell Split, Not Guesswork. Each candle's volume is broken into its internal buy and sell halves using intrabar data pulled from a lower timeframe, then classified by close-location, body-direction, or a weighted blend you control. Every profile row renders as a stacked bull + sell parallelogram, so you see not just where volume traded but which side owned each level. A Delta POC line marks the row holding the largest one-sided imbalance, and rows exceeding mean + 2σ are flagged as institutional — unusually heavy single-level activity.
ES
⭐ POC, Value Area & Naked POC Magnets. The point of control, the value-area high and low, and the profile extremes are all drawn as sloped lines that ride the channel and extend to the right edge with live price labels. On top of that, the script tracks Naked POCs — the point-of-control of unusually strong individual candles — and extends each one to the right as a magnet until price trades back through it, then retires it. Untested value tends to get revisited; this shows you exactly where it lives.
♻️ Contrarian Fade Engine — auction exhaustion at the walls. When price pierces a channel wall and the order flow shows the move is running out of participation, the engine fires a FADE ▲ / FADE ▼ signal graded by a 0–10 conviction score. It isn't a naive "price touched the band" trigger — it reads the auction against the move and only fires when exhaustion and a local extreme line up, with a cooldown so you don't get a cluster of the same idea. Each signal can plot its own target and invalidation line.
🗺️ Scenario Projection — the powerful new part. This is not a hand-drawn arrow. The script walks the live channel forward from the last bar and assembles a route from surveyed structure: 1 · TRIGGER — the first objective. In Channel Extremes mode it rides the wall in the trigger direction; in Key Levels mode it snaps to the nearest POC / VA / ΔPOC. 2 · REVERSE — a retrace of that leg, sized by your ratio. 3 · RETEST — a partial recovery that deliberately fails short of the trigger extreme. 4 · TARGET — the objective on the far side of price: the opposite wall, or the strongest key level. 5 · EXTENSION — a continuation leg toward the far wall, if you enable Extended detail. Trigger direction defaults to Auto, taken from the live net-flow bias (buy/sell split + slope + CVD). Every leg is a clean straight segment, bars-per-leg are allocated proportionally to price travel, and the whole path is clamped inside the sloped walls — so the outlook can span the full channel from the red wall to the green wall without ever looking synthetic or bowing outside structure.
📊 Command Dashboard — every figure measured. A compact panel that reports the whole engine at a glance, in five themed positions and four text sizes: CHANNEL & TREND — price regime (overbought / inside / oversold vs the walls), current price, slope and channel width. LIVE ORDER FLOW — the running buy/sell split and CVD read for the loaded window. VOLUME PROFILE — POC, value-area high/low and delta-POC prices straight off the sloped profile. AUCTION & FADE — the live fade signal, its direction, and its conviction stars. REGIME — a plain-language read of the overall state, including bullish / bearish reversal watches when regime and flow disagree. SCENARIO PATH — the full waypoint list: trigger, reverse, retest, target, extension, with prices and moves.
ETH
🔬 Non-Repainting By Construction. The regression, the profile and all levels are computed on closed bars and drawn on the last bar. Intrabar order flow is read from confirmed lower-timeframe data. Fade signals fire on bar close with a cooldown. Nothing is redrawn backwards once placed.
🎨 Clean Themed Visuals. Five palettes engineered for a pure-black background (Obsidian Aurora, Magma, Plasma, Deep Ocean, Graphite Mono), or full custom colors. Dashed value-area lines, a solid POC, red upper and green lower walls, an optional channel-body fill, a spectral volume-weighted ramp on the profile rows, and a scenario path drawn as a soft-glow core line with diamond waypoint markers, a terminal arrowhead and dotted trigger / target rails. An optional on-chart legend key explains every glyph.
🔔 Built-In Alerts & Standard-Chart Guard. Fade and structure events are surfaced on the panel and chart, firing on bar close. The script refuses to run on Heikin Ashi and Renko charts, because those distort the volume and price action the whole engine depends on — a guard most profile tools quietly skip.
🔧 Fully Customizable. Channel length, source and wall basis (Std Dev / Max Deviation / ATR) with independent upper and lower multipliers. Profile rows, width, anchor side, buy/sell split, value-area percent and every level toggle. Intrabar granularity and classification mode. The full fade filter set — conviction floor, extreme lookback, cooldown, target length. Naked-POC score floor and count cap. The complete scenario set — path detail, anchor mode, trigger direction, projection length, retrace and retest ratios, wall padding, right-extension length. Plus every theme, panel and legend option.
NVDA
🎯 Why this is different. Most volume-profile tools draw flat rows and pretend the market isn't trending. This one pours the profile along the actual regression slope, splits every level into real buy and sell mass, grades auction exhaustion at the walls, tracks untested POCs as forward magnets, and then projects a straight-line route that spans the full channel and stays locked inside it. Value, order flow, structure and outlook — one engine, one honest picture.
🧭 How to use it. · Read the dashboard before the chart. CHANNEL & TREND tells you where price sits relative to the walls; LIVE ORDER FLOW tells you which side is pressing; REGIME gives you the one-line summary. · Use the sloped profile as your value map. Price above a rising POC with buy-heavy rows is a different market than price below a falling POC — the diagonal keeps that distinction intact. Treat the POC and value area as magnets and the institutional rows as heavy shelves. · Watch the walls for the fade. A FADE ▲ / FADE ▼ at a wall with a high conviction score is the engine flagging exhaustion of a push into the extreme — a mean-reversion cue back toward the POC, not a blind reversal. · Treat the scenario as a roadmap, not a promise. TRIGGER is where the first objective sits, TARGET is the logical destination on the far side. In Channel Extremes mode the outlook spans wall-to-wall; switch to Key Levels for a tighter path that snaps to profile structure. If the Auto direction reads the wrong way for your bias, set Trigger Direction to Up First or Down First. · Combine, don't obey. Everything shown is descriptive of current structure, value and order flow — pair it with your own analysis and risk management.
EURUSD
⚙️ Key settings to know first. · Channel Length (default 480) — the single most important dial. It sets the regression window and the profile sample. Longer = the broader, structural channel; shorter = a reactive, local channel. · Source (default HLC3) — what the regression is fit to. HLC3 is smoother and less wick-sensitive than close. · Band Basis + Upper/Lower Mult — how wide the walls sit. Std Dev is statistical, Max Deviation hugs the most extreme wick, ATR is a volatility multiple. Independent multipliers let you build an asymmetric channel. · Trigger / Target Anchor — Channel Extremes makes the outlook span the whole channel wall-to-wall; Key Levels keeps it tight to POC / value area. · Extend Channel Right (bars) — how far the walls, midline and levels (and the room for the scenario) project past the last bar. · Use Intrabar Volume + Classification — the accuracy of the buy/sell split. Blend is the balanced default; turn intrabar off for a lighter, whole-candle read. · Min Conviction Score (Fade) — raise it to see only the highest-quality wall fades, lower it to see more.
⚠️ Important. This is a decision-support tool, not a standalone buy/sell system, and it makes no performance guarantees. Everything it displays is descriptive of current channel position, sloped-profile value, real order-flow split and measured auction state. The scenario path is level geometry rendered forward — a current-state projection that re-solves as structure changes, not a forecast of price, and it carries no probability claim. Volume-split figures are reconstructed from intrabar data and bar geometry, not raw tick data. Behaviour varies by symbol, timeframe and configuration. Always combine it with your own analysis and risk management, and test it on your market before trading it live. 지표
지표
Channel Volume Profilwizard channel vp idm is a visual analysis tool built around a dynamic price channel, an anchored volume profile, value area levels, volume nodes, inducement zones, liquidity sweeps, and confluence labels.
the purpose of this indicator is to help traders read where price is positioned inside an active market structure. it combines channel direction, volume acceptance, value area behavior, and liquidity reactions into one clean visual layout.
this indicator does not predict the market. it is designed to organize technical analysis and highlight areas where price may react, slow down, reject, or continue.
main concept
the script builds a dynamic channel around price using a regression-based structure. inside this channel, it calculates an anchored volume profile that follows the slope of the market.
unlike a classic horizontal volume profile, this profile is projected inside the active channel. when the market is rising, the profile follows the upward slope. when the market is falling, the profile follows the downward slope.
this makes the profile easier to read in trending conditions, because the volume zones stay aligned with the current market path.
what the indicator displays
poc
poc stands for point of control. it marks the area with the highest volume inside the profile. this is often an area of acceptance where price may return, pause, or consolidate.
vah
vah stands for value area high. it is the upper boundary of the value area. if price rejects this level, a move back toward the poc may be watched. if price accepts above it, the market may be trying to expand higher.
val
val stands for value area low. it is the lower boundary of the value area. if price rejects this level, a move back toward the poc may be watched. if price accepts below it, the market may be trying to expand lower.
hvn
hvn stands for high volume node. it marks an area where volume concentration is high. these levels may act as areas of acceptance, reaction, or slowdown.
lvn
lvn stands for low volume node. it marks an area where volume concentration is low. these levels may act as fast movement zones, rejection zones, or imbalance areas.
idm
idm represents an internal inducement area. it helps identify internal liquidity zones that may be swept before a reaction or continuation.
drop marker
the drop marker highlights a possible liquidity sweep. it appears when price takes a level or zone and then moves back inside.
a label
the a label is a confluence marker. it combines several conditions such as sweep, rejection, value area interaction, volume behavior, poc reclaim, and structure context. it should not be used alone. it is a visual signal for deeper analysis.
how to use the indicator
start by looking at the channel direction.
if the channel is rising, the trader can focus more on reactions near the lower part of the channel, val, or bullish sweep zones.
if the channel is falling, the trader can focus more on reactions near the upper part of the channel, vah, or bearish sweep zones.
if price is near the middle of the channel, the market may be balanced. in that case, it is usually better to wait for a clear rejection, breakout, sweep, or acceptance shift.
how to use the poc
the poc is the main acceptance level of the current profile.
when price is above the poc, the market may be accepting higher prices.
when price is below the poc, the market may be accepting lower prices.
when price keeps returning to the poc, the market may be consolidating or building balance.
a clean break and hold above the poc can show stronger bullish acceptance.
a clean break and hold below the poc can show weaker structure or bearish acceptance.
how to use vah and val
vah and val define the value area.
a rejection from vah can show that price is failing to accept higher levels.
a rejection from val can show that price is failing to accept lower levels.
an acceptance above vah can suggest expansion to the upside.
an acceptance below val can suggest expansion to the downside.
beginners can use vah, poc, and val as a simple map:
vah = upper value zone
poc = balance zone
val = lower value zone
how to use hvn and lvn
hvn and lvn are displayed as small dotted levels with tiny labels.
hvn can act as a reaction or slowdown zone because price has previously accepted volume there.
lvn can act as a faster movement zone because there was less volume acceptance there.
these levels are not automatic buy or sell signals. they are reference points that should be combined with price action, structure, and risk management.
how to use idm
idm labels show internal inducement areas.
an idm can represent a zone where liquidity was built and later taken by the market. when price sweeps an idm and then reintegrates, it may help explain a reaction or shift in behavior.
an idm near val may support a bullish reaction if price sweeps and returns inside the channel.
an idm near vah may support a bearish reaction if price sweeps and returns inside the channel.
how to use the drop marker
the drop marker shows a potential liquidity sweep.
a drop below val or below the lower channel can suggest that price swept lower liquidity and then returned inside.
a drop above vah or above the upper channel can suggest that price swept upper liquidity and then returned inside.
it is usually better to wait for candle close before interpreting the marker.
how to use the a label
the a label represents a stronger confluence condition.
a bullish a near val or the lower channel can suggest possible absorption if price sweeps liquidity and closes back inside.
a bearish a near vah or the upper channel can suggest possible distribution if price sweeps liquidity and closes back inside.
the a label becomes more meaningful when it appears near poc, vah, val, hvn, lvn, or idm.
it should always be confirmed with market context, candle close, and risk management.
important settings
channel / vp lookback
controls how many bars are used for the channel and the volume profile. a higher value gives a broader view. a lower value gives a more reactive view.
regression length
controls the base of the channel. a higher value makes the channel smoother. a lower value makes it react faster to recent price movement.
vp rows
controls the number of rows in the volume profile. more rows create more detail, but too many rows can make the chart heavier.
value area %
controls the value area calculation. the common default is 70.
poc source
chooses how the poc is calculated. raw is stricter. smoothed is more stable visually.
vah / val source
chooses whether value area boundaries use raw volume or smoothed volume.
keep vp / levels inside rails
keeps the volume profile and main levels inside the channel so they do not overlap the outer rail visuals.
auto guard from neon rails
adds extra spacing from the visual rail bands to keep the profile and levels clean.
show inner lines
shows or hides decorative inner channel lines. when disabled, inner decorative lines are removed, while important levels such as poc, vah, val, hvn, and lvn remain visible.
show hvn / lvn small lines
shows small dotted high volume node and low volume node markers.
idm validation mode
controls how idm labels are displayed.
balanced sweep is more flexible.
strict bos is more selective.
early candidate displays potential idm areas earlier.
a minimum score
controls how selective the a label is. a higher value gives fewer signals. a lower value gives more signals.
beginner workflow
step 1
identify the channel direction.
if the channel is rising, focus on bullish reactions near the lower channel, val, or sweep zones.
if the channel is falling, focus on bearish reactions near the upper channel, vah, or sweep zones.
step 2
check where price is compared to the poc.
above poc can show stronger acceptance.
below poc can show weaker acceptance.
around poc can show balance or consolidation.
step 3
watch vah and val.
vah is the upper value boundary.
val is the lower value boundary.
look for rejection, acceptance, or sweep around these levels.
step 4
use hvn and lvn as reaction levels.
hvn may slow price down.
lvn may lead to faster movement or sharp rejection.
step 5
wait for confirmation.
a drop marker shows a sweep.
an a label shows confluence.
an idm label shows internal liquidity.
when several elements appear in the same area, that zone becomes more important for analysis.
example use case
price is rising inside the channel.
price pulls back toward val.
a drop marker appears below val.
price closes back inside the channel.
an a label appears near the lower channel.
in this case, the trader can study the area as a possible bullish reaction zone. this does not mean automatic entry. the trader should still check market structure, candle close, risk, and invalidation level.
another example
price reaches the upper channel and trades near vah.
a drop marker appears above vah.
price closes back below vah.
an a label appears near the top of the channel.
this can be studied as a possible rejection zone. the trader should still confirm with structure, risk management, and broader market direction.
usage tips
do not use the indicator alone.
always check the broader trend.
wait for candle close before making a decision.
avoid trading every label.
focus on zones where several elements align.
adjust settings depending on the asset and timeframe.
use proper risk management.
test the indicator before using it in live conditions.
risk notice
this indicator is an educational and technical analysis tool. it is not financial advice and does not guarantee any result. all signals and levels should be used as visual references inside a complete trading plan. every trader is responsible for their own decisions, risk management, and execution.
지표
Self Calibrating Probability ChannelSELF-CALIBRATING PROBABILITY CHANNEL
A forecast channel whose width is set by conformal prediction, tuned by a parameter-free online calibrator, and proven on your own chart. You pick a coverage level - say 90% - and the indicator shows you, live, the percentage it has actually achieved over recent bars, on every timeframe. Most bands assert a width; this one measures whether the width was right and corrects itself until it is, with nothing to tune.
WHAT IT IS
Bollinger Bands, Keltner Channels, Donchian Channels and standard-deviation regression channels all draw a width from a formula and ask you to trust it. None of them tell you what fraction of price actually landed inside. A "2 standard deviation" band is only a true 95% band if returns are normally distributed and stationary - which markets are not - so the real hit-rate drifts, usually without the user ever knowing.
This indicator inverts that. It forecasts where price should be next bar, measures how wrong that forecast has actually been, and builds the band directly from the empirical distribution of those errors. Then it watches its own hit-rate bar by bar and self-corrects. The result is a channel that earns its stated confidence level instead of assuming it - and reports, honestly, where it is and isn't holding.
THE METHOD (plain language)
1. Forecast path. Each bar, a one-step-ahead forecast of price is formed. You can pick a Kalman level-and-velocity tracker, a linear-regression slope, an EMA projection, or an anchored VWAP - or leave it on Auto, which runs all of them and blends them online by recent accuracy, so the centre line self-calibrates too. The forecast for the current bar uses only prior bars, so it is genuinely out-of-sample.
2. Error window. The gap between forecast and outcome is the forecast error. A rolling window of recent errors is kept, stored in volatility (ATR) units so the band breathes with the market. Each error is recorded only after its band has already been scored, so the band never includes the bar it is being tested on.
3. Conformal bands. For a chosen confidence level, the band edges sit at the matching quantiles of the recent error distribution (split-conformal prediction). Because it uses the actual error quantiles - including their skew - the bands are asymmetric when the errors are, rather than forcing a symmetric width. Four levels are drawn at once (50 / 70 / 90 / 95%) as nested zones, so the channel doubles as a probability heatmap: the dark core is where price spends most of its time, the faint outer edge marks rare excursions.
4. Parameter-free self-calibration (DtACI). After each bar the indicator checks whether price fell inside each level and nudges the width to hold the target. Rather than asking you to pick a calibration speed, it runs several speeds as competing "experts" and continuously blends them by how well each has tracked coverage recently (Dynamically-tuned Adaptive Conformal Inference). There is no rate to tune - the calibration tunes itself.
5. Live coverage proof, including by regime. The dashboard shows, for every level, the target versus the actually-achieved coverage over a rolling window, each tagged calibrated / under / over. It also reports the realised 90% coverage broken down by market regime - so you can see, for instance, that the band holds 92% in a quiet range but 87% in a volatile breakout. You are not asked to trust the band; you are shown its track record on the symbol, timeframe and regime in front of you.
6. Forward cone. A widening cone projects the likely range several bars ahead. Its width is built from actual multi-step forecast errors (not a square-root-of-time assumption), and its centre curves as projected momentum decays rather than extrapolating in a straight line. An optional bootstrap cloud resamples the real errors into sample forward paths - a direct picture of the distribution the bands come from.
7. Context and early warning. A two-axis regime read (trend strength x volatility) labels conditions; a turbulence detector watches for clustering of outer-band breaches and flags, in advance, when coverage is likely to degrade; a coiled-spring marker notes when a compressed range begins to expand; and an optional higher-timeframe row shows whether the larger trend agrees.
WHY THESE PARTS BELONG TOGETHER (one engine, not a bundle)
This is a single forecasting loop, not a collection of separate indicators sharing a chart. Each part is a required step, and removing any one breaks the whole:
- The forecast path produces an expected price and a drift. Without it there is no quantity whose error can be measured.
- The conformal band converts that path's own recent errors into prediction intervals. Without the forecast there is no error to bound; without the band the forecast is an unqualified guess.
- The online self-calibration adjusts the band to hold the target hit-rate as conditions change. Without it the intervals slowly drift out of calibration and the stated confidence becomes false.
- The live coverage readout verifies the loop is actually working, overall and per regime. It is the proof step a formula-based band cannot offer.
- The context layers (regime, turbulence early-warning, graded breaches, compression-release, higher-timeframe agreement) all read the same forecast errors and exist only to tell you WHEN the interval is most trustworthy and when it is about to fail.
So the components are not combined for convenience; they form a closed measure-and-correct cycle - forecast, bound the error, recalibrate, verify - which is precisely why they are published as one script rather than several overlays.
WHAT MAKES IT DIFFERENT
Conformal prediction is a distribution-free framework - its coverage guarantee holds for any underlying distribution given exchangeable errors, with no assumption that returns are Gaussian. It is standard in machine-learning uncertainty quantification but essentially absent from charting tools, which lean almost entirely on standard-deviation or ATR multiples. Pairing it with a parameter-free online recalibrator, a self-weighting forecast centre, and an on-chart coverage readout - including a per-regime breakdown - is the original contribution here. No moving-average envelope, regression channel or volatility band can state "I targeted 90% and have actually delivered 90% over the last 250 bars, and here is exactly where I don't" - this one can, and shows it.
WHAT YOU SEE ON THE CHART
- A multi-zone channel around a forecast centre line, shaded from the high-probability core out to the rare-excursion edge, coloured by forecast direction, and adaptive to dark or light chart backgrounds.
- A widening forward cone, optionally filled with a faint cloud of resampled paths.
- Right-side labels marking the forecast and the 90 / 95% edges as price levels.
- Small triangles when price breaks beyond the outer band; a ring when that breach is also high-quality (graded on displacement, close position, volume, range expansion and structure); an amber diamond when a quiet range starts to wake up.
- A dashboard with the live forecast, the 90% band range and where price sits within it, the full calibration table, the per-regime coverage, a reliability score, the forecast bias, the sample count, the calibration mode, and an optional higher-timeframe row.
- A plain-language "how to read" key, so the chart is approachable without any statistics background.
HOW TO READ AND USE IT
Mean reversion: when price reaches the outer (90 / 95%) zone in a ranging regime, it is statistically stretched and tends to revert toward the centre line. The "band position" readout and the calibration table tell you how stretched, and how trustworthy that edge currently is.
Trend continuation: a sustained walk along one side of the channel, especially with the cone tilted that way and the higher-timeframe row aligned, indicates a directional regime rather than noise.
Anomaly / breakout: a plain triangle is a volatility event; a ringed one is the same event confirmed as high-quality. A turbulence flag warns that the bands may be about to lose calibration.
Reliability and regime: treat the bands as most actionable when reliability is high, the calibration rows read "calibrated", and turbulence is quiet. The per-regime coverage tells you which conditions the channel is currently most trustworthy in.
SETTINGS OVERVIEW
- Forecast path (Auto / Kalman / Linear Regression / EMA / Anchored VWAP) and smoothing lengths.
- Calibration: residual window, recency window, volatility normalisation, parameter-free DtACI on/off (with a manual ACI rate as fallback), coverage-evaluation window.
- Forward projection length, cone momentum decay, optional bootstrap cloud.
- Anomaly sensitivity, swing pivot length, coiled-spring thresholds, turbulence sensitivity.
- Higher-timeframe context, price source, and full theme controls.
The price source is selectable and volume is borrowed where a symbol reports none, so it works across futures, equities, forex and crypto on any timeframe. Defaults read well intraday; longer windows suit higher timeframes.
HONESTY AND LIMITATIONS
- Non-repainting: each bar's forecast uses only prior bars, each error is recorded only after its band is scored, anomalies confirm on bar close, and the higher-timeframe row uses the last confirmed higher-timeframe value. Historical bands do not change after the fact.
- Conformal coverage is a statistical expectation over a window, not a per-bar guarantee. In a sharp regime break the realised hit-rate will dip until the window and calibrator re-adapt - and the dashboard, including its per-regime breakdown, shows that dip honestly rather than hiding it.
- The bands describe the distribution of short-horizon forecast error. They are a probabilistic context for price, not a prediction of direction and not a trading system.
- Calibration needs enough samples; on a fresh chart the channel needs its warm-up window before the figures are meaningful, and the cone needs a few extra bars beyond that.
This script is for research and education. It is not financial advice and not a solicitation to trade. Markets carry risk; test any tool on your own data and timeframe, and make your own decisions.
지표
Auto Andrews' Pitchfork Adaptive Channel# Auto Andrews' Pitchfork — Adaptive Median-Line Channel, Regime & Calibration
## What it is
On TradingView an Andrews' Pitchfork is a manual drawing tool: you place three points by hand and it draws a median line with two parallel tines. This script automates that geometry and, more importantly, surrounds the raw lines with the decision context a drawn pitchfork can never give you — whether the channel currently fits the market, whether a touch is likely to revert or break, and how the median and tines have actually behaved on the symbol you are looking at.
It detects the swing pivots, builds the channel, auto-selects the variation (Standard / Schiff / Modified Schiff) whose median best bisects the recent price path, and then runs a regime, reversion, break-strength and calibration stack on top of that one channel. It works on any symbol and any timeframe; every raw-data series is user-selectable in Settings.
## Why these components are combined (how the parts work together)
A bare auto-pitchfork only answers "where are the lines." On its own it shows the same picture in a quiet range, where price rotates back to the median, and in a strong trend, where price rides a tine and keeps going — the classic median-line failure. Every layer in this script exists to remove one specific blind spot of the bare geometry, and each layer feeds the next. They are not independent indicators stacked together; they are all derived from, or applied to, the same auto-built channel.
- **Auto-geometry (pivot detection + variation fit)** draws the channel and chooses the variation that best fits the actual price path, so the median is meaningful rather than an arbitrary hand placement.
- **Regime (efficiency ratio + ADX + volatility clustering)** decides whether a tine touch should be expected to fade (revert) or be ridden (continue) — the question the geometry alone cannot answer.
- **Reversion math (variance ratio + Ornstein-Uhlenbeck half-life)** is the statistical check on that decision: is the series actually mean-reverting, and if so, in roughly how many bars does a stretch to the median decay.
- **Break-strength scoring** rates how decisive a move beyond a tine is — magnitude versus ATR, volume participation, range expansion, the close's position within the bar (an anti-wick check), and a compression-then-release pattern. This turns "price crossed the tine" into a graded Fade / Ride / Invalid read instead of a binary one.
- **Volume nodes (POC, HVN/LVN)** classify whether each tine sits on a high-volume acceptance shelf (reaction likely) or a low-volume gap (likely sliced through), so proximity becomes a quality read.
- **Confluence (anchored VWAP, volume POC, higher-timeframe swing levels)** marks where the auto-geometry agrees with independent reference levels.
- **Calibration** measures, past-only, how often the median and each tine were actually respected on this symbol, reported with Wilson confidence intervals and a containment percentage, so the reliability read is earned from data rather than assumed.
The histogram of these reads is the synthesis: the dashboard ranks and states the channel's current condition in plain terms, but every figure is descriptive context, never a trade instruction.
## How to use it
1. Add it to any chart and set your data sources under "Data Source (any market)." For symbols with no native volume (some cash indices and FX feeds), enter a volume-bearing proxy in "Borrow volume from symbol."
2. Read the channel as a map: the median is equilibrium, the tines are the channel edges, and the warning lines mark over-extension.
3. Read the Status row: FADE means expect rotation inside the channel; RIDE means a strong break in a trend (the tine is being ridden); INVALID means the channel broke and a re-anchor is expected.
4. Use Regime, Half-life and Var-ratio to judge whether a tine touch is a fade or a continuation; use the volume-node tag and Confluence to judge whether a level is likely to hold; use Respect and Containment to judge whether the fork fits this symbol at all.
5. Treat every value as probabilistic context to combine with your own analysis and risk management.
## Optional context (off by default)
Two optional layers extend the tool without cluttering the default view:
Higher-timeframe context forks overlay lightweight median-and-tine outlines of the same auto-geometry on 5× and/or 15× the chart timeframe, so you can see how the current channel sits inside the larger structure. Only the higher-timeframe pivots are pulled (non-repainting, confirmed bars), and the outlines are drawn in time coordinates so they align across resolutions. They are intentionally minimal — no fills, glow, or analytics — because the full regime, break-strength and calibration stack stays on the current-timeframe fork, which is the one the dashboard describes. Enable them only when you want the multi-scale picture; on very high chart timeframes a 15× resolution can be non-standard and that outline will not populate.
Re-anchor on break lets a fresh fork begin building from post-break structure whenever the channel is invalidated, rather than only when new prominent pivots form. The broken channel stays on screen (dashed) until enough post-break pivots confirm to render the new one — there is an inherent pivot-confirmation lag, so the new fork appears a few bars after the break, not at the exact break bar. A minimum-bars guard prevents repeated re-anchoring in choppy conditions.
## Settings for any market
The High, Low and Price source inputs select the raw series the engine runs on, so it is not tied to one instrument. The volume-borrow input is blank by default and only activates on symbols that truly report no native volume. All optional layers degrade gracefully when their data is unavailable, and a data-health read flags when volume is unreliable.
## Originality
This is an original implementation. The contribution is not any single layer but the closed loop built around an automatically generated pitchfork: auto-geometry feeds a regime and break-strength engine that classifies the channel state, a half-life and variance-ratio core that quantifies reversion, volume-node context that grades each tine, and a past-only calibration tracker that reports how the lines have actually behaved — all from the one channel, rather than as separate tools placed side by side.
## Limitations (honest)
Pivots confirm after the configured right-bars lag and are non-repainting by construction. Volume-based layers require real volume. Calibration figures are descriptive of past behaviour only — they are not a backtest and not a probability of future results. Every read is probabilistic context.
## Disclaimer
This is a study / indicator for chart analysis and education only. It is not a strategy, not a recommendation, and not financial advice. It places no orders and guarantees no result. Markets involve risk, and a level's past behaviour does not assure future behaviour. Do your own research and manage your own risk.
지표
Celestial Mean Reversion Envelopes [Pineify]Celestial Mean Reversion Envelopes
This indicator identifies mean reversion opportunities by wrapping an adaptive moving average in standard deviation envelopes and signaling when price snaps back inside after piercing a band. Rather than using a fixed-period moving average as the baseline, the central line adapts its speed based on how frequently price is setting new highest highs or lowest lows — it tracks price quickly in trending conditions and almost freezes in ranges, so the bands shift organically with market character.
Key Features
Adaptive mean that responds to trend intensity rather than time alone — sluggish during consolidation, responsive during strong moves
Standard deviation envelopes calibrated to actual recent volatility, not fixed ATR multiples
Buy and sell signals generated on band crossunders/crossovers, confirming the reversal rather than anticipating it
Translucent overbought/oversold shading between the mean and each band for quick visual context
Built-in alerts for both reversion directions
How It Works
The calculation runs in two stages: first building the adaptive mean, then constructing the envelopes around it.
Extreme tracking — On each bar, the indicator checks whether a new highest high or lowest low has formed over the lookback window. Bars where a fresh extreme appears are marked with a value of 1; all other bars get 0. The SMA of these binary values over the same window gives the fraction of recent bars that produced a new extreme.
Squaring the fraction — Raising that fraction to the power of 2 produces a nonlinear smoothing coefficient. When trends are strong and new extremes appear on most bars, the coefficient approaches 1 and the adaptive mean tracks price closely. In a choppy range where few new extremes form, the coefficient collapses near zero and the mean barely moves. This technique is inspired by TRAMA (Trend Regularity Adaptive Moving Average) by e2e4mfck.
Adaptive mean update — Each bar the mean nudges toward the source price by the amount determined by the coefficient. The result is an average that effectively switches between "responsive" and "parked" behavior depending on what the market is doing.
Standard deviation envelopes — The upper and lower bands are placed at ±(StdDev × multiplier) from the adaptive mean, where StdDev is computed over the same lookback period. This makes the band width proportional to recent volatility: wider when price has been swinging, tighter during quiet periods.
Signal generation — A buy signal fires when source crossesunder the lower band (price dipped below, then closed back above it). A sell signal fires on a crossover of the upper band. The crossunder/crossover logic requires price to actually breach and then retrace — a bar that merely touches the band without closing through it does not trigger.
How the Components Work Together
The adaptive mean solves a problem that conventional envelope indicators ignore: when a market trends hard, a static EMA or SMA falls behind, making the upper band a poor reference for "too far, too fast." Because the adaptive mean accelerates during trends, the envelopes stay anchored to current price levels rather than lagging. This means the bands are more likely to represent genuine statistical extremes rather than just momentum riding.
The standard deviation layer adds a second dimension. Instead of a fixed pip or percentage offset, the band width expands when the market is volatile and contracts when it is calm — naturally suppressing signals during low-volatility compression and allowing wider moves during active sessions before flagging exhaustion.
Together these two layers create a filter that roughly says: "price reached a statistically unusual distance from where the trend currently sits, then pulled back." That combination reduces fakeout signals compared to using static bands on a lagging baseline.
Trading Ideas and Insights
On higher timeframes (daily, 4H), buy signals at the lower band that coincide with a key support level or volume spike may offer higher-confidence entries. Look for the adaptive mean to be flattening — it suggests the trend is pausing rather than reversing.
In intraday trading, signals that appear after a sharp impulsive leg tend to perform better than signals generated inside a choppy range. The adaptive mean will often be steeply sloped after an impulse, indicating the signal is against the micro-trend — exercise more caution and use tighter risk.
When price oscillates between the bands repeatedly without triggering signals, the market is likely in a low-volatility squeeze. A breakout attempt that immediately pulls back (triggering a sell or buy signal) at the edge of that range can mark the failed breakout early.
The gradient fill zones serve as a running reference for where price stands relative to the mean. Price persistently in the upper (red) fill with a rising adaptive mean suggests a strong trend; consider fading only when price crosses back into the neutral zone.
Past performance of any signal pattern does not guarantee future results. Always combine signals with broader context — structure, volume, and higher-timeframe bias. These signals indicate potential exhaustion; they do not predict reversal magnitude.
Unique Aspects
The squaring of the trend-regularity fraction is the core differentiator. Most adaptive averages use linear coefficients; squaring creates a much sharper distinction between trending and ranging states, so the mean spends more time "frozen" during ranges and snaps to price quickly when momentum genuinely kicks in.
Signals require price to close back inside the band, not just touch it — this one-bar confirmation step reduces noise from wicks that briefly pierce a band and immediately reverse without a real close-to-close move.
Band width is purely standard-deviation based rather than ATR-derived, which means the scaling responds to the actual statistical dispersion of the source series rather than the high-low range. On instruments with many gaps this can produce meaningfully different widths than ATR bands.
How to Use
Add the indicator to any chart. It overlays directly on the price pane.
The blue line is the adaptive mean. When it is rising steeply the market is in an upward trending mode; when flat or slightly sloped, it is ranging.
The red-shaded zone above the mean is the overbought area; the green-shaded zone below is the oversold area. Price spending extended time in one zone suggests momentum, not necessarily exhaustion.
A green BUY label below a bar means price closed back above the lower band after briefly breaking it — potential reversion entry. A red SELL label above a bar means the opposite.
To set alerts, use the "Buy Alert" or "Sell Alert" conditions from the indicator's alert panel (Once Per Bar Close recommended to avoid premature triggers on intrabar wicks).
Customization
Adaptive Mean Length (default: 99) — Controls both the highest/lowest lookback and the SMA averaging window for the smoothing coefficient. Higher values slow the mean considerably and widen bands; lower values increase reactivity but also produce more frequent and less reliable signals.
Envelope Multiplier (default: 2.5) — Scales the standard deviation distance. 2.0 suits instruments with tighter typical ranges; raise to 3.0+ on highly volatile assets to avoid constant band touches that don't represent genuine extremes.
Source (default: close) — Change to hl2 or hlc3 to incorporate high and low into the baseline; close is typically sufficient for most reversion setups.
Color inputs — Adjust bullish/bearish/mean colors and toggle the gradient fill on or off depending on visual preference.
Conclusion
Celestial Mean Reversion Envelopes pairs an adaptive mean that adjusts its responsiveness to trend regularity with volatility-scaled deviation bands, targeting the specific moment when a stretched move closes back inside its statistical boundary. The approach is best suited to traders who wait for confirmation — the crossunder/crossover trigger ensures you're acting on a completed reversal bar, not an open wick. As with any mean-reversion tool, it works best when context confirms the extension is exhaustion rather than breakout continuation.
지표
Anchored Trend Channels [MQLSoftware]Anchored Trend Channels is a structural overlay that maps each phase of price action between confirmed swing points as its own parallel trend channel. Instead of fitting one curve or band to all of price history, it breaks the chart into discrete pivot-to-pivot segments and renders each one as a self-contained anchored channel with its own slope, width, and angle. The active channel projects forward with a dashed extension so future support and resistance levels are visible at a glance.
A second, finer regression channel (Micro) lives inside the currently forming Macro segment to show local momentum and its relationship to the broader trend. A compact right-side panel reads off the resulting structure, the active segment angle, the segment chain, multi-timeframe context, and three optional structural events.
This is a visual analytical tool intended for chart reading and structure mapping. It does not execute trades and does not provide financial advice.
Key Features
Pivot-anchored Macro channels that segment price action into discrete trend phases (one channel per phase, anchored on confirmed swing pivots)
Active segment with a forward-extending dashed projection of about 20 bars, showing where the channel boundaries would lie if the trend continues
Adaptive Micro regression channel inside the active segment, with R-squared fit quality readout
Trend Bias scoring weighted by segment length and angle, combined with net price move across the analysis window
Acceleration metric showing how much the Micro angle deviates from the Macro angle (faster, slower, or flat)
Right-side panel with Macro angle, segment chain visualization, Micro R-squared, MTF context, and three structural signal states
Non-Repaint Mode toggle for users who prefer closed-bar-only updates on the active segment
Three optional structural event markers (Segment Break, Macro Pullback, Micro Continuation) with a configurable cooldown to avoid clustering
Core Concept
Most channel and trend indicators on TradingView take one of two approaches. They either fit a single continuous curve to all of price (linear regression channels, ATR-trailing bands, smoothed moving averages with deviation bands) or they detect individual trendlines through two pivots and project them indefinitely. Both approaches have known limitations. A single continuous channel cannot describe a market that has clearly changed phase. Two-pivot trendlines drift, get broken, and need constant manual maintenance.
This indicator builds on a third approach: piecewise channels anchored on confirmed pivots. Each finished segment is a closed, immutable object that describes one phase of price action between two opposite swing points. The chain of segments left behind is a structural history of how the trend developed, where it accelerated, where it reversed.
The indicator adds three specific algorithmic elements on top of that base.
1. Quality Filters at Segment Birth. Before a new segment is committed, two filters check that the pivot move is structurally meaningful. The pivot-to-pivot price distance must exceed a configurable ATR multiple (default 2.5x), and the bar count must exceed a minimum length (default 8 bars). Pivots that fail either check are skipped, so the visible chain reflects real phase changes, not noise.
2. Pivot-Anchored Geometry with Max-Deviation Width. Each segment's basis line is the straight line between its two anchor pivots. The channel half-width is the maximum deviation of any bar inside the segment from that basis line, scaled by a user multiplier and floored by an ATR-based minimum. This produces channels that visibly contain the price action that built them, rather than mathematical fits that ignore visible swings.
3. Trend Bias from Weighted Segments Plus Net Move. Most chain-based indicators classify direction by counting up-segments versus down-segments. That gives equal weight to a 30-bar trending move and a 5-bar choppy retracement. This indicator weights each segment by the product of its bar count and its absolute angle, then combines that with the net price move across the analysis window measured in ATR units. The result is a Trend Bias label (Strong Bull, Bullish, Mixed, Bearish, Strong Bear) that reflects which side has accumulated the actual structural progress, not just the count of segments.
Anatomy of the Display
Historical segments are drawn as parallel green or coral channels between confirmed past pivots. They are immutable once committed and form a left-to-right chain that visually traces the structure of the trend.
The active segment is the right-most channel, drawn in bright color with a wider glow layer. It anchors on the most recent confirmed pivot and extends to the current bar. The dashed projection continues the channel about 20 bars to the right at the current slope, so users see where price would touch the upper and lower boundaries if the segment kept its angle.
The Micro channel is a 20-bar linear regression with standard-deviation bands, rendered in cyan or pink depending on its own direction. It only appears when the regression's R-squared fit quality clears a user threshold, so it auto-hides when local price action is too noisy for a meaningful regression.
H and L pivot markers sit at the pivot anchor points. H labels mark confirmed high pivots, L labels mark confirmed low pivots.
The right-side panel groups the data into Trend Bias (top), Macro Active Segment (angle, direction, bars in segment, segment chain), Micro Channel (angle, direction, R-squared, acceleration), Signals (three states), and MTF (current angle of two higher timeframes).
Acceleration in the panel is the Micro angle minus the Macro angle. A positive number means the local momentum is steeper than the surrounding trend phase (often early-stage continuation). A negative number means the local momentum is flattening relative to the surrounding trend phase (often late-stage or stalling).
Optional Structural Event Markers
Three structural events can be displayed as on-chart markers. These describe what is happening to the channel geometry. They are not trade entries.
Segment Break (BRK). Price closes beyond the opposite boundary of the active segment. In an active uptrend channel, this is a close below the lower boundary. In a downtrend channel, a close above the upper boundary. This marks a violation of the active phase structure.
Macro Pullback (PB). Price closes within 0.2 ATR of the band on the same side as the trend direction. In an uptrend, price closes near the lower boundary. In a downtrend, price closes near the upper boundary. This marks a touch back to the channel boundary in the direction of the active phase.
Micro Continuation (CONT). The Micro channel breaks its own boundary in the same direction as the Macro segment, while the segment is still in its early stage (3 to 25 bars in). This marks a moment when local momentum aligns with the broader trend phase early in its life.
All three event types are gated by a configurable cooldown (default 15 bars) to prevent clustering. Each event is computed on closed bars only.
Multi-Timeframe Panel Row
The MTF row at the bottom of the panel shows the active segment angle on two higher timeframes. The two HTFs are selected automatically from the standard timeframe ladder based on the current chart timeframe. For example, on a 15m chart the panel reads 4H and 1D. On a 1H chart it reads 1D and 1W. HTF values are read with `lookahead=barmerge.lookahead_off` and a one-bar offset, which is the standard non-repainting pattern for higher-timeframe reads.
Notes on Repainting
Historical segments do not repaint. They are built from confirmed pivots (`ta.pivothigh` and `ta.pivotlow` with a right-bars parameter). A pivot is only confirmed several bars after it forms, so historical segments remain anchored in place forever once committed.
The active segment updates as new bars print. With Non-Repaint Mode ON (default), it recalculates only on closed bars, so its boundaries remain stable intra-bar. With Non-Repaint Mode OFF, it updates on every tick for users who prefer maximum responsiveness and accept the visual jitter.
Pivot detection has an inherent delay equal to the pivot lookback (default 30 bars on Very Long sensitivity). A pivot becomes visible after that many bars have closed past it. This is a property of all pivot-based indicators, not a flaw specific to this script.
All signal markers and alerts are gated by `barstate.isconfirmed`. They fire exactly once per closed bar and never intra-bar.
MTF panel data uses `lookahead=barmerge.lookahead_off` with a one-bar offset on every series, which is the canonical non-repainting pattern for higher-timeframe context.
Typical Analysis Workflow
A common analytical workflow may include:
Reading the Trend Bias label and color in the panel header to anchor an overall directional view
Checking the segment chain in the panel against the visible historical channels on the chart to confirm structure is consistent
Watching the active segment's dashed projection to identify forward levels where the channel boundaries are heading
Comparing the Micro channel direction and angle against the Macro segment direction and angle (Acceleration row) to read whether local momentum aligns with the broader phase
Cross-checking the MTF row to see whether higher timeframes are in the same structural direction or in conflict
Treating Segment Break, Macro Pullback, and Micro Continuation markers as structural events for context, then combining that read with other forms of analysis and risk management
Configuration
Pivot Sensitivity - Short (5), Medium (10), Long (18), or Very Long (30). Lower values produce more segments of shorter average length. Higher values produce fewer, longer-lived segments. Very Long is the default and produces the cleanest premium look.
Min Segment Size (x ATR) - Minimum price distance between consecutive pivots, measured in ATR. Pivots below this threshold are skipped. Higher values produce fewer, more significant segments.
Min Segment Length (bars) - Minimum bar count between consecutive pivots. Short segments are skipped.
Channel Width Multiplier - Multiplier on the max-deviation width. 1.0 means the channel just contains the price action that built it. 1.2 to 1.5 adds visible breathing room.
Min Band Width (x ATR) - Floor on the channel half-width. Prevents razor-thin channels on short segments where deviation is small.
Max Segments Stored - FIFO cap on historical segments (default 15). Older segments are removed as new ones form.
Regression Length (Micro) - Number of bars in the Micro regression window (default 20).
Std Dev Multiplier (Micro) - Width of the Micro band in standard deviations.
Min R-squared to Show (Micro) - Hides the Micro channel when regression fit quality is below this threshold.
Signal Cooldown (bars) - Minimum bars between consecutive same-type signal markers.
Non-Repaint Mode - When ON (default), the active channel uses closed-bar data only. When OFF, it updates live with each tick.
Show toggles - Macro segments, Micro channel, panel, status badge, endpoint labels, pivot markers, signal markers, basis lines, channel fills, MTF row.
Markets and Timeframes
The indicator can be applied across multiple markets and timeframes:
Forex
Stocks and Indices
Commodities
Cryptocurrencies
Because slope is ATR-normalized and channel width is ATR-floored, the visual behavior remains consistent across instruments and timeframes. The Pivot Sensitivity preset can be tuned per chart for the cleanest read on a given symbol and timeframe.
Alerts
Three alert conditions are available:
Segment Direction Changed - fires when the active segment direction flips between uptrend and downtrend
Segment Break - fires when price closes beyond the opposite boundary of the active segment
Micro Continuation - fires when the Micro channel breaks its own boundary in the same direction as the active Macro segment, in the early portion of the segment
All alerts evaluate on confirmed bars to avoid intra-bar oscillation. 지표
Auto Trendlines & Market Structure - MTFAuto Trendlines & Market Structure - MTF
Auto Trendlines & Market Structure - MTF is a visual analytical indicator that automatically draws support and resistance trendlines through swing pivots and classifies the resulting structure into one of seven states: Uptrend, Downtrend, Expanding, Contracting, Range, HH Trending, or LL Trending. A compact panel in the top-right shows how that classification compares across the current chart timeframe and three higher timeframes.
The goal is to remove the subjectivity of manual trendline drawing while keeping the chart readable: only the two currently relevant lines (one from recent pivot highs, one from recent pivot lows) are drawn as active, while older invalidated lines fade into a dashed historical layer for context.
This is a visual analytical tool intended for chart reading and structure mapping. It does not execute trades and does not provide financial advice.
Key Features
Auto-detected trendlines through the two most recent valid pivot highs (resistance) and pivot lows (support)
Adaptive pivot lookback that scales with ATR-relative volatility, with optional fixed-length mode
Seven-class structure classification rather than a binary up/down trend
Multi-timeframe panel scanning the current TF plus three higher TFs
Validation logic that rejects lines penetrated by older pivots beyond an ATR-based tolerance
Historical line trail (dashed) preserved when an active trendline gets broken or replaced
Two-layer neon line rendering and gradient channel fill scaled by ATR
Core Concept
Most automatic trendline scripts simply connect the two most recent pivots and call it a trendline. This produces noisy output in choppy markets and resists no contradiction from older swings. This indicator adds three layers on top of that base.
1. Pivot Validation. Before a candidate trendline becomes active, it is checked against up to four older pivots in the same direction. If any of them sits more than 0.3 ATR above a resistance line (or below a support line), the candidate is rejected. This filters out lines that look correct on the latest two pivots but conflict with established structure.
2. ATR-Normalized Slope. Slope is stored not in raw price-per-bar units but in ATR-per-bar units. This makes slope comparable across instruments and timeframes: a normalized slope of 0.1 means roughly one-tenth of an ATR per bar regardless of whether the chart is EURUSD on 15m or BTCUSD on 4H. Strength buckets (Weak / Moderate / Strong / Very Strong) are then defined on this normalized scale.
3. Seven-Class Structure Classification. Instead of collapsing everything into "up or down", the indicator combines the slope sign of both lines:
Both up — Uptrend
Both down — Downtrend
Resistance up, support down — Expanding (broadening)
Resistance down, support up — Contracting (converging)
Both flat within threshold — Range
Only support active — LL Trending (one-sided structure)
Only resistance active — HH Trending (one-sided structure)
This classification surfaces structural states that a single trend label cannot describe — particularly Expanding and Contracting, which often precede volatility expansions or breakouts.
Trendline Lifecycle
Each line goes through a defined lifecycle:
Built from the two newest valid pivots in its direction
Projected to the right and rendered with a colored core plus a wider transparent glow
Replaced when a newer pivot pair forms a more recent line — the previous line is then frozen as a dashed historical reference
Invalidated when price closes more than 0.5 ATR beyond the line — at that moment the line stops projecting, freezes at the breakpoint, and a break alert can fire
The historical trail is capped at 80 frozen lines (FIFO) so the chart does not accumulate clutter on long histories.
Multi-Timeframe Panel
A compact panel in the top-right corner displays the current trend classification across the current timeframe and three higher timeframes. The three HTFs are selected automatically from the standard ladder (1m, 5m, 15m, 1H, 4H, 1D, 1W, 1M, 3M, 12M) based on the active chart timeframe — for example, on a 1H chart the panel shows 4H, 1D, 1W.
Each row shows:
Timeframe label
Block-bar strength gauge
Class name (Uptrend / Downtrend / Expanding / Contracting / Range / HH Trending / LL Trending / Building)
Strength tier (Weak / Moderate / Strong / Very Strong)
The panel also shows the current chart's HH and LL line levels and the absolute and percentage channel width when both lines are active. HTF data is pulled with non-repainting parameters so the panel stays consistent on confirmed bars.
Typical Analysis Workflow
A common analytical workflow may include:
Reading the structure class on the chart timeframe to understand the immediate state
Comparing it to the three higher timeframes in the panel to detect alignment or conflict
Watching the channel width as the structure transitions between Expanding, Contracting, and Range
Using line breaks and the dashed historical trail to time potential structure shifts
Combining the structure read with other forms of analysis and risk management
Configuration
Pivot Lookback Mode — Adaptive (default) scales the pivot length with ATR-relative volatility (between 5 and 10 bars on each side). Fixed lets you set a single lookback between 3 and 15 bars.
Show Trend Lines — Toggles the active two-layer neon trendlines.
Show Channel Fill — Fills the area between active lines with a gradient. Only rendered when both lines are active and the structure is Uptrend, Downtrend, or Range (skipped during Expanding and Contracting to avoid visual confusion).
Show MTF Panel — Toggles the multi-timeframe panel.
Show Pivot Markers — Triangle markers at the most recent pivots, capped at 6 to avoid clutter.
Show Trend Status — Large class badge above price.
Show Line Labels — "HH" and "LL" anchor markers at the right end of each active line.
Line Width (Core) — Width of the inner core line. The outer glow is always rendered at core + 7.
Markets and Timeframes
The indicator can be applied across multiple markets and timeframes:
Forex
Stocks and Indices
Commodities
Cryptocurrencies
Because slope is ATR-normalized and pivot lookback is volatility-adaptive, the visual behavior remains consistent across instruments and timeframes without manual re-tuning.
Alerts
Three alert conditions are available:
Trend Class Changed — fires when the structure classification transitions between any of the seven states
Resistance Break — fires when price closes more than 0.5 ATR above the active resistance line
Support Break — fires when price closes more than 0.5 ATR below the active support line
All alerts evaluate on confirmed bars to avoid intra-bar oscillation.
Notes on Repainting
Active trendlines are anchored to confirmed pivot highs and pivot lows, which are themselves only validated after a pivot lookback window has fully passed. Once an active line is drawn its anchor points do not move. The MTF panel uses confirmed higher-timeframe values with a one-bar offset, so its readings stay consistent across historical and realtime bars. Alerts trigger only on confirmed bars.
Important Notes
This indicator is an analytical visualization tool. It does not execute trades and does not provide financial advice. All outputs are informational and should be interpreted within the context of independent market analysis and proper risk management.
Past behavior of any technical indicator does not guarantee future results.
If you find this indicator useful, feel free to add it to your favorites and share your feedback in the comments. Community feedback helps improve future updates. 지표
Channel Breakout [EXCAVO]Automatic Convergent Channel Detection with Multi-Filter Breakout Confirmation
The Channel Breakout automatically detects convergent channel patterns — wedges, flags, and triangles — by fitting trendlines through confirmed swing pivots on both boundaries simultaneously. When price breaks out with volume and momentum confirmation, the indicator signals the direction with colored channel lines and an entry label on the breakout candle.
This is not a basic highest/lowest channel. The boundaries are built from verified pivot points, and a convergence filter ensures only genuinely contracting channels qualify — expanding ranges and sideways boxes are excluded.
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▸ HOW TO USE
Step 1 → Add the indicator. It begins scanning for convergent channel
patterns using swing pivots on the current timeframe.
Step 2 → Wait for a channel to form. The indicator draws the upper and
lower boundary lines in blue while price remains inside.
Step 3 → Watch for the breakout signal. When price closes beyond either
boundary with confirmation, channel lines turn blue (bull) or
red (bear), and an arrow label appears on the breakout candle.
Step 4 → Check the dashboard. It shows the current pattern state,
breakout strength (Strong / Medium / Weak), and the directional
bias score that built up while price was inside the channel.
Step 5 → Read the strength rating. Strong breakouts combine high volume,
deep body penetration, and RSI alignment. Weak breakouts show
fewer confirming factors and may warrant additional analysis.
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▸ HOW IT CALCULATES
◆ Pivot Detection
Swing highs and lows are identified with ta.pivothigh / ta.pivotlow using a
configurable lookback (Pivot Detection Length, default 5 bars each side). Only
confirmed, closed pivots are used — no repainting. All recent pivots within the
Max Channel Width lookback are stored and passed to the trendline fitting engine.
◆ Best-Fit Trendline Algorithm
For the upper boundary, the engine tests every pair of stored pivot highs (a, b).
For each candidate line through (a, b), it counts how many other pivot highs lie
within ATR × Touch Tolerance of the line while no pivot exceeds it by more than
ATR × Max Deviation. The line with the most qualifying touches becomes the upper
boundary. The same process runs independently for pivot lows to find the lower
boundary. Both boundaries must exist with at least Min Touches (default 2) to
form a valid channel.
◆ Convergence Filter
Once both boundaries are found, the engine measures channel width at the earliest
shared bar (widthStart) and at the current bar (widthNow):
convRate = 1 − (widthNow / widthStart)
A channel is only accepted when convRate >= Min Convergence Rate (default 0.02).
This rejects expanding wedges and flat ranges, keeping only contracting patterns.
◆ Breakout Detection and Strength Score
On each confirmed bar close, the engine projects both boundary lines to the current
bar. A bull breakout fires when close > upper boundary; a bear breakout when
close < lower boundary. The breakout strength score blends five components:
penetration depth relative to ATR (25%), candle body ratio (15%), body commitment
relative to the broken boundary (15%), volume vs SMA-20 spike (25%), and RSI
alignment above/below 50 (20%). Score >= 65 = Strong, >= 35 = Medium, < 35 = Weak.
◆ Confirmation Filters
Three optional filters gate the breakout signal. Volume Spike Multiplier requires
the breakout bar's volume to exceed 20-bar SMA by a configurable factor. Volume
Contraction Filter requires that average volume inside the channel was lower than
before the channel formed — confirming energy compression. Momentum Confirmation
requires RSI > 50 for bull breakouts and RSI < 50 for bear breakouts. Any filter
can be disabled for forex or low-volume instruments.
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▸ WHAT MAKES IT DIFFERENT
◆ Pivot-Confirmed Boundaries
Most auto-channel scripts use ta.highest / ta.lowest, which anchors lines to the
highest wick in a window regardless of pattern shape. This indicator builds
boundaries only through confirmed swing pivot points, the same anchor logic a
trader would use when drawing manually.
◆ Convergence-Only Filter
The convRate filter rejects any channel that is not actively narrowing. Sideways
ranges, expanding wedges, and parallel channels are all excluded. Only patterns
where price is compressing toward a decision point qualify.
◆ Best-Fit Touch Counting
The engine evaluates every pair of pivots and selects the line with the highest
touch count, not just the first two pivots it finds. A channel supported by four
touches is stronger than one supported by two, and the algorithm reflects that
by preferring denser confirmation.
◆ Multi-Component Strength Score
The breakout strength is not a simple volume check. It combines five independent
signals — penetration depth, body ratio, body commitment relative to the broken
level, volume spike, and momentum direction — into a single 0-100 score that
classifies the breakout as Strong, Medium, or Weak.
◆ Directional Bias Score
While price is inside the channel, the dashboard tracks a real-time directional
bias built from channel slope (35%), RSI deviation from 50 (35%), and price
position within the channel range (30%). This gives a probabilistic lean on
which side of the channel is more likely to break before the signal fires.
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▸ DASHBOARD
Real-time panel (top right) with key state metrics:
Status - Active (channel forming) / Bull Breakout / Bear Breakout / Scanning
Direction - directional bias with arrow and % while channel is active (e.g. ▲ 64%); BULLISH or BEARISH after breakout
Strength - Strong / Medium / Weak (breakout strength score); — while channel is forming
Convergence - narrowing rate of the active channel in %; — when no channel
Legend table (bottom left) explains every visual element. Toggle in Dashboard settings.
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▸ SETTINGS
Main Settings
Pivot Detection Length - 5 (bars left/right for swing pivot confirmation; lower = more sensitive)
Min Touches per Boundary - 2 (minimum pivot touches required per trendline)
Max Channel Width (bars) - 120 (maximum lookback for channel search)
Min Convergence Rate - 0.02 (minimum narrowing ratio; higher = stricter contraction)
Filters
Volume Spike Mult - 1.2 (breakout bar volume vs SMA-20; set 0.5 to disable on forex)
Volume Contraction Filter - ON (require declining volume inside the channel)
Momentum Confirmation - ON (RSI > 50 for bull, < 50 for bear)
Visual
Show Channel Patterns - ON (draw boundary lines)
Show Pattern Background - OFF (subtle bgcolor while inside active channel)
Channel Lines
Line Width - 2 (boundary line thickness; 1-4)
Risk Management
Show Entry Labels - ON (arrow label on the breakout candle)
Dashboard
Show Dashboard - ON
Position - Top Right (Top Left / Top Right / Bottom Left / Bottom Right)
Font Size - Small (Small / Normal)
Advanced
Touch Tolerance (ATR) - 0.15 (pivot distance to count as a touch; 0.10-0.25)
Max Deviation (ATR) - 0.30 (maximum pivot overshoot from the line)
Min Channel Width (ATR) - 0.5 (minimum channel width filter)
Alerts
JSON Alerts - OFF (structured JSON payload for 3Commas, Wunderbit, and similar bots)
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▸ ALERTS
Bull Breakout - price closes above the upper channel boundary with confirmation
Bear Breakout - price closes below the lower channel boundary with confirmation
Any Breakout - either direction; use for a single alert covering both signals
New Pattern - a new convergent channel has been detected and is now active
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Best regards,
EXCAVO
Disclaimer
Trading involves significant risk. This indicator is a technical analysis tool
and does not constitute financial advice, investment recommendations, or a
guarantee of future results. Past indicator behavior does not guarantee future
performance. Always use proper risk management and your own judgment.
지표
Lumina Trend Channels & Bands [Pineify]Pineify - Lumina Trend Channels & Bands
Lumina Trend Channels & Bands is an overlay indicator that builds a volatility-adjusted trend channel around a Volume-Weighted Moving Average (VWMA). VWMA forms the baseline, while ATR bands define how far price must move before trend state changes.
Key Features
VWMA midpoint weighted toward higher-volume closes.
ATR-based upper and lower bands that adapt to current range.
Persistent trend state while price remains inside the channel.
Triangle markers on the first cross above the upper band or below the lower band.
How It Works
The script calculates a VWMA of close, then adds and subtracts ATR multiplied by the Band Multiplier. A close above the upper band sets bullish state; a close below the lower band sets bearish state. Between the bands, the prior state is preserved.
Compute the VWMA baseline.
Measure ATR and scale it by the Band Multiplier.
Plot upper and lower channel bands around the VWMA, then mark the first crossover or crossunder.
How the Components Work Together
VWMA supplies the directional anchor, while ATR decides how much evidence price needs before a breakout is treated as meaningful. In high volatility the bands widen and demand a stronger close; in quiet conditions the channel tightens and reacts sooner. The cloud fill emphasizes the active side of the trend.
Trading Ideas and Insights
A bullish triangle may indicate continuation after price clears the upper boundary.
A bearish triangle may flag downside momentum when price loses the lower band.
Inside-channel movement is a drift zone. Wait for bar close on live bars; fast reversals can lag, and ranges can whipsaw.
Unique Aspects
Trend state is retained inside the ATR channel, reducing flip-flopping around the VWMA.
The asymmetric cloud emphasizes the active trend side while keeping the opposite band visible.
How to Use
Add the indicator to a clean price chart.
Use the midline and channel to judge bullish, bearish, or undecided territory.
Treat triangles as potential breakout starts, then look for confirmation.
No built-in alert conditions are included in this version.
Customization
Trend Baseline Length (default: 50) - VWMA lookback. Higher values smooth the channel but add lag.
Volatility (ATR) Length (default: 14) - ATR lookback for band width.
Band Multiplier (default: 2.0) - Channel distance. Higher values reduce breakouts; lower values are more sensitive.
Bullish/Bearish Trend Colors - Adjust line, cloud, and marker colors.
Conclusion
Lumina Trend Channels & Bands is for traders who want a clean VWMA trend channel with volatility-aware breakout markers. Use it as context alongside structure, volume, and risk management rather than as a standalone system.
지표
Gaussian Channel System [GCS]## DESCRIPTION
Gaussian Ribbon Engine (GRE) is a multi-layer trend analysis system built on the Arnaud Legoux Moving Average (ALMA), which applies a Gaussian (bell curve) weighting function to price data instead of the linear or exponential weights used by traditional moving averages.
**Mathematical Foundation**
ALMA uses a Gaussian kernel — the same bell-curve distribution found in statistics and physics — to weight the prices in its lookback window. The Gaussian function is parameterized by two values: offset (which shifts the bell curve left or right, controlling responsiveness vs. smoothness) and sigma (which controls the width of the bell curve, determining how sharply weights decay from the center). The formula applies: w(i) = exp(-((i - offset * (N-1))^2) / (2 * sigma^2 * N^2)), where each price bar receives a weight according to its position on the Gaussian curve. This produces a moving average with mathematically optimal noise filtering properties.
GRE constructs five ALMA layers with increasing periods (default 9, 21, 55, 100, 200), creating a visual ribbon. When all five layers align in order (fastest on top for bullish, fastest on bottom for bearish), the market is in full directional agreement. The spread between the outermost layers, measured as a percentage and compared to its own historical average, identifies squeeze (convergence) and expansion (divergence) conditions.
**9-Point Confluence Scoring**
The scoring matrix evaluates: price vs. Layer 1, Layer 1 vs. 2, Layer 2 vs. 3, Layer 3 vs. 4, Layer 4 vs. 5 alignment, Layer 1 slope direction, Layer 3 slope direction, RSI above/below 50, and DI+/DI- directional movement. Signals fire when the score crosses the configurable threshold with ADX confirmation.
**Features**
- Five-layer ALMA ribbon with Gaussian kernel weighting
- Adjustable offset (0-1) and sigma parameters for fine-tuning the Gaussian bell shape
- Ribbon spread analysis with squeeze and expansion detection
- 9-point confluence scoring with visual dot notation in dashboard
- ATR-based dual take-profit levels (TP1 and TP2)
- Squeeze breakout signals when ribbon compresses then expands
- ADX and volume confirmation filters
- Full color-coded dashboard with regime classification
- Multiple alert conditions
--- 지표
지표
Spline Quantile Regression Channel [LuxAlgo]The Spline Quantile Regression Channel indicator implements an advanced non-linear regression model to fit a flexible, multi-level channel over recent price action. Unlike standard linear regression which identifies the mean trend, this tool fits specific price percentiles (quantiles) using cubic splines, providing robust support and resistance zones that adapt to market volatility and non-linear structures.
🔶 USAGE
The indicator is designed to provide a sophisticated view of the current trend and its extremes. By fitting cubic splines to specific quantiles, the script offers a "bendable" channel that can follow complex price movements more accurately than traditional straight-line regressions.
🔹 Trend Identification
The median line (default 0.5 quantile) represents the central tendency of the price action. When the spline is sloping upward, it indicates a non-linear bullish regime; a downward slope indicates a bearish regime.
🔹 Support and Resistance
The upper and lower bands represent the specified extremes (e.g., the 90th and 10th percentiles). These act as dynamic boundaries:
Prices reaching the upper band often indicate overextended conditions within the current lookback period.
Prices reaching the lower band suggest the asset is trading at the lower end of its recent distribution.
🔹 Forecasting
The indicator projects the calculated spline into the future using a dashed line. This forecast is a mathematical extrapolation of the current non-linear trend, helping traders visualize where the price distribution is headed if the current momentum and curvature persist.
🔶 DETAILS
The script employs several advanced mathematical concepts to ensure accuracy and stability:
Cubic Spline Basis: The model uses a piecewise polynomial basis ($1, x, x^2, x^3$) combined with truncated power functions at "knots." This allows the curve to change its curvature locally, adapting to swings that a simple polynomial cannot capture.
Quantile Optimization: Instead of minimizing squared errors (OLS), the script uses an Iteratively Reweighted Least Squares (IRLS) solver to minimize the "check function." This allows the script to target specific percentiles of the price data.
Numerical Stability: To prevent matrix overflows common in high-degree polynomial calculations, the script standardizes price data (Z-score) and scales time coordinates between 0 and 1 before performing matrix inversion.
🔶 SETTINGS
🔹 Spline Configuration
Lookback Period: The number of historical bars used to fit the spline regression. Larger windows result in a more "macro" trend, while smaller windows react quickly to recent changes.
Internal Knots: Determines the "flexibility" of the spline. More knots allow the curve to follow price swings more tightly, while fewer knots yield a smoother, more rigid curve.
🔹 Optimization
IRLS Iterations: The number of optimization passes for the solver. Higher values improve the accuracy of the quantile fit, especially in volatile markets.
Forecast Length: The number of bars to project the calculated spline into the future.
🔹 Quantile Levels
Upper Quantile: The specific percentile for the upper band (e.g., 0.95 for the top 5%).
Median Quantile: The central percentile (typically 0.5 for the median).
Lower Quantile: The specific percentile for the lower band (e.g., 0.05 for the bottom 5%).
🔹 Visuals
Colors: Individual color settings for the upper, median, and lower bands.
Line Width: Controls the thickness of the polylines rendered on the chart.
지표
지표
Multi-TF Keltner Heatmap# Multi-TF Keltner Heatmap
A multi-timeframe volatility structure indicator designed to show where momentum pivots are forming across timeframes.
Instead of plotting a single Keltner Channel, this script overlays Keltner envelopes from 12 timeframes simultaneously, allowing traders to see when lower timeframe volatility begins pivoting relative to higher timeframe structure.
For options traders, these pivot points often represent the moments where momentum changes fastest while options are still relatively cheap.
The goal is to identify the earliest structural shift in volatility expansion before the larger move becomes obvious.
## Core Idea
Momentum rarely appears suddenly on higher timeframes.
Instead, it typically builds from smaller timeframes upward.
Lower timeframes begin expanding volatility until they interact with or surpass the volatility boundaries of larger timeframes.
When this occurs, the script identifies it as a pivot event.
A pivot means the shorter timeframe volatility envelope has reached or crossed the adjacent higher timeframe envelope, indicating that momentum pressure is shifting.
As these pivots propagate upward through the timeframe ladder, a momentum chain forms.
This chain represents how many layers of the market structure are currently shifting direction.
## Timeframes Included
The script pulls Keltner Channel data from the following timeframes:
- 1 Minute
- 3 Minute
- 5 Minute
- 10 Minute
- 15 Minute
- 30 Minute
- 45 Minute
- 1 Hour
- 2 Hour
- 4 Hour
- 1 Day
- 1 Week
These timeframes together create a stacked volatility structure showing how pressure builds through the market.
## Keltner Channel Construction
Each timeframe uses the same parameters.
Basis
EMA (default length: 200)
Volatility Envelope
ATR (default length: 200)
Bandwidth Multiplier
ATR × 8
These intentionally large settings create structural volatility envelopes rather than short-term reactive channels.
The focus is on major volatility shifts rather than micro fluctuations.
## Visual Structure
The indicator uses color to separate layers of the timeframe hierarchy.
### White Bands (1m – 15m)
These represent short-term market microstructure.
They allow traders to see:
- short-term compression
- micro volatility expansion
- early directional pressure
Opacity is reduced so these bands remain informational rather than dominant.
### Intermediate Layer (30m / 45m)
Upper bands are colored green.
Lower bands are colored red.
These timeframes often act as the bridge between intraday volatility and higher timeframe momentum.
When price begins interacting strongly with these bands, it often signals that pressure is building toward a larger pivot.
### Higher Timeframe Bands (1H – 1W)
Higher timeframe bands are hidden by default.
They only appear when a pivot condition occurs.
A pivot occurs when:
Shorter timeframe upper band ≥ adjacent higher timeframe upper band
or
Shorter timeframe lower band ≤ adjacent higher timeframe lower band
Example:
45m upper ≥ 1H upper
When this happens, the 1H upper band becomes visible.
This signals that short-term volatility is now interacting with higher timeframe structure.
## Pivot Chain
Momentum shifts are tracked using adjacent timeframe pivots.
Upper band pivots follow this sequence:
- 45m → 1H
- 1H → 2H
- 2H → 4H
- 4H → 1D
- 1D → 1W
Lower band pivots follow the same sequence.
This adjacency logic reflects how momentum realistically propagates through the market rather than skipping timeframes.
## Pivot Chain Depth
The indicator calculates two values shown in the status line and data window.
Bull Chain
Number of upward pivot steps currently active.
Example:
45m pivoting above 1H
1H pivoting above 2H
2H pivoting above 4H
Bull Chain = 3
Bear Chain
Number of downward pivot steps currently active.
Example:
45m pivoting below 1H
1H pivoting below 2H
2H pivoting below 4H
Bear Chain = 3
## Interpreting Chain Depth
Lower chain values typically indicate:
- localized volatility
- range conditions
- early momentum shifts
Higher chain values indicate:
- stronger structural alignment
- expanding volatility
- sustained directional momentum
Deep pivot chains are relatively rare and often occur during:
- breakouts
- strong trend continuation
- macro directional moves
## Why This Matters for Options
Options traders benefit most when they can identify large momentum shifts early, before volatility expansion fully develops.
When lower timeframes begin pivoting relative to higher timeframe envelopes, it often means:
- directional pressure is building
- volatility expansion may follow
- option pricing has not fully reacted yet
This creates the opportunity to enter positions before volatility and delta expansion make contracts expensive.
## Practical Uses
This indicator can help traders:
- identify early momentum pivots
- visualize multi-timeframe volatility alignment
- detect volatility expansion before breakouts
- confirm trend continuation across timeframes
It is particularly useful when looking for high momentum opportunities while options remain relatively inexpensive.
## Conceptual Summary
Momentum builds from smaller timeframes upward.
When lower timeframe volatility begins interacting with and pivoting against larger timeframe envelopes, the market is often entering a structural shift phase.
This indicator visualizes that process so traders can see momentum transitions while they are still forming. 지표
Ornstein-Uhlenbeck Mean Reversion Probability Bands [UAlgo]Ornstein-Uhlenbeck Mean Reversion Probability Bands is a statistical mean reversion indicator that models price as a mean reverting process and projects dynamic probability style zones around an estimated equilibrium mean. The script uses a rolling lookback of closing prices, fits an Ornstein-Uhlenbeck inspired parameter set from recent behavior, and then converts that estimate into inner and outer deviation bands around the current mean.
The indicator runs directly on price ( overlay=true ) and is built to help traders identify when price is stretched away from its estimated equilibrium. Instead of using a fixed moving average and static standard deviation, the script attempts to infer a mean reverting structure from the data itself. It estimates the long term mean, the speed of reversion, and an equilibrium style dispersion measure, then plots two upside and two downside mean reversion zones.
When price pushes into the upper or lower band regions, the script calculates a standardized distance from the estimated mean and displays a probability style label with both the percentage score and the current z score. This gives the user a quick visual read of how statistically extended price is relative to the model.
A key strength of this script is that it combines:
A rolling Ornstein-Uhlenbeck style parameter estimation
Adaptive mean reversion zones
Probability style stretch labels at band events
A clean overlay presentation with visible upper and lower probability regions
Important note: The percentage label in this script is a normal distribution coverage style score derived from the current z score. It is best understood as a probabilistic stretch measure, not a literal exact OU first passage probability.
🔹 Features
🔸 1) Ornstein-Uhlenbeck Inspired Mean Reversion Model
The script estimates a mean reverting process from recent closing prices instead of relying only on a moving average. It uses a rolling regression style approach on consecutive price observations, then converts those estimates into Ornstein-Uhlenbeck style parameters.
This makes the indicator more model driven than a standard band tool.
🔸 2) Rolling Adaptive Mean Line
The central mean line is not a fixed average only. It is the estimated equilibrium level ( mu ) of the fitted process. As the rolling price sample changes, the model updates and the mean shifts with changing market structure.
The mean line also changes color depending on whether current price is above or below that estimated equilibrium.
🔸 3) Dual Mean Reversion Zones (Inner and Outer)
The script builds two sets of reversion bands around the mean:
Inner bands using the inner multiplier
Outer bands using the outer multiplier
This creates a layered framework where the inner zone marks an early stretch area and the outer zone marks a more extreme statistical extension.
🔸 4) Probability Style Stretch Labels
When price crosses into the upper or lower band regions, the script calculates a z score based on current distance from the estimated mean and converts it into a percentage style probability score.
The label shows:
A directional marker
The probability style percentage
The current z score
This gives the user both a visual event trigger and a numeric measure of extension.
🔸 5) Visual Zone Based Design
The indicator uses filled upper and lower zones rather than emphasizing the band lines themselves. This creates a cleaner chart display where the mean line stays visible and the stretch regions are highlighted as colored areas above and below it.
This makes the indicator easy to read during fast chart scanning.
🔸 6) Configurable Lookback, Time Step, and Band Width
Users can customize:
The rolling lookback period used for model estimation
The time step parameter ( dt ) used in OU conversion
The inner band multiplier
The outer band multiplier
This makes the script adaptable to different timeframes, instruments, and preferred sensitivity levels.
🔸 7) Built In Estimation Safeguards
The parameter estimation logic includes fallback protections. If the inferred model parameters are unstable or unrealistic, the script falls back to simpler sample statistics. This helps prevent unusable outputs during difficult market regimes or low quality fits.
🔸 8) Directional Touch Event Logic
The script tracks both upper side and lower side band interaction:
Upper side events can signal statistically stretched bullish price movement
Lower side events can signal statistically stretched bearish price movement
Labels are only created on crossing events, which helps reduce repeated prints while price remains outside the band.
🔹 Calculations
1) Rolling Price Queue Management
The script stores recent closing prices in an array with a fixed maximum length:
price_array.update_queue(close, length_input)
The queue update method behaves differently depending on bar state:
On a new bar, it pushes the latest value
On an updating live bar, it overwrites the last stored value
This keeps the rolling sample aligned with the current chart state without duplicating the active bar.
2) Fallback Mean and Dispersion Estimates
Before attempting the OU style fit, the script calculates simple fallback values:
float fallback_mu = src_array.avg()
float fallback_sigma = src_array.stdev()
These act as safety defaults if the regression based OU estimate is not reliable.
Important note:
In this script, fallback_sigma is a simple sample standard deviation of price levels, not return volatility.
3) AR(1) Style Regression on Consecutive Prices
The model estimation is built from consecutive price pairs:
x = price
y = price
The script computes:
Mean of x
Mean of y
Covariance between x and y
Variance of x
Then it estimates:
float b = sum_cov / sum_var_x
This creates an AR(1) style coefficient that is later translated into OU style parameters.
4) Conversion from AR(1) Form to OU Style Parameters
If the estimated b is within a valid range:
if b > 0.05 and b < 0.95
the script computes:
float a = mean_y - b * mean_x
float mu_exact = a / (1.0 - b)
float theta_exact = -math.log(b) / dt
Interpretation:
mu_exact is the estimated long run mean.
theta_exact is the implied mean reversion speed.
The conversion assumes the AR(1) relation is a discrete time representation of a mean reverting process.
5) Residual Variance and Equilibrium Dispersion
The script next measures residual error from the AR(1) fit:
float err = y_i - (a + b * x_i)
float var_err = sum_err_sq / (n - 1)
Then it converts that residual variance into an equilibrium variance estimate:
float var_eq = var_err / (1.0 - b * b)
Finally:
float calc_sigma = math.sqrt(var_eq)
Important implementation note:
The variable named sigma in this script is used as an equilibrium style standard deviation around the mean, not as the continuous time OU diffusion coefficient from the SDE form.
6) Stability Filter for the Estimated Sigma
Even if the AR(1) fit is mathematically valid, the script only accepts the calculated sigma when it is reasonably close to the fallback sample standard deviation:
if calc_sigma < fallback_sigma * 1.5 and calc_sigma > fallback_sigma * 0.5
If this test fails, the script keeps the fallback values instead.
This helps avoid unstable band widths caused by bad short term fits.
7) Final Parameter Output
The estimation method returns:
OU_Params.new(theta, mu, sigma_eq)
Where:
theta is the estimated reversion speed
mu is the estimated equilibrium mean
sigma_eq is the accepted equilibrium dispersion measure
These parameters are then used to build the bands.
8) Band Construction
The script computes four band levels around the estimated mean:
float up_out = mean_val + (dev_val * mult_outer)
float up_in = mean_val + (dev_val * mult_inner)
float dn_in = mean_val - (dev_val * mult_inner)
float dn_out = mean_val - (dev_val * mult_outer)
Interpretation:
Inner bands represent a milder deviation from the mean.
Outer bands represent a more extreme deviation from the mean.
9) Mean and Zone Visualization
The mean line is explicitly plotted:
p_mean = plot(ou_bands.mean, color=color_mean, linewidth=2, title="Mean")
The inner and outer band plots are also created, but their colors are fully transparent:
color color_inner_up = color.new(#ffb74d, 100)
color color_outer_up = color.new(#ef5350, 100)
...
This means the visible structure mainly comes from the zone fills:
fill(p_ui, p_uo, ...)
fill(p_li, p_lo, ...)
So the user sees clean upper and lower probability zones rather than several bright boundary lines.
10) Touch and Crossing Logic
The script first checks whether price is currently inside a stretch area:
bool touch_upper = close >= ou_bands.upper_inner
bool touch_lower = close <= ou_bands.lower_inner
Then it checks for fresh crossings:
bool cross_up_in = ta.crossover(close, ou_bands.upper_inner)
bool cross_up_out = ta.crossover(close, ou_bands.upper_outer)
bool cross_dn_in = ta.crossunder(close, ou_bands.lower_inner)
bool cross_dn_out = ta.crossunder(close, ou_bands.lower_outer)
Labels are only created when price is touching the region and a fresh crossing occurs. This avoids creating labels on every bar that remains outside the band.
11) Z Score Calculation
When an event occurs, the script calculates the standardized distance from the mean:
float current_z_score = dev_val != 0 ? math.abs(close - mean_val) / dev_val : 0.0
Interpretation:
A z score of 1 means price is one equilibrium standard deviation away from the estimated mean.
Higher values indicate a more statistically stretched condition.
12) Probability Style Score Calculation
The script converts the z score into a percentage style score using an approximation of the error function:
float x = math.abs(z_score) / math.sqrt(2.0)
...
float prob = erf_approx * 100.0
Because erf(|z| / sqrt(2)) corresponds to the probability mass within plus or minus that z distance under a normal distribution, the output behaves like a confidence or coverage score.
Important note:
This is not a direct OU mean reversion probability in the strict stochastic process sense. It is a normal distribution style stretch score based on the current z distance.
13) Upper Event Label Logic
When price crosses into the upper band region:
if (touch_upper and cross_up_in) or (touch_upper and cross_up_out)
the script prints a bearish styled label above the bar:
"▼ %" + str.tostring(probability, "#.##") + " (Z:" + str.tostring(current_z_score, "#.##") + ")"
This reflects the idea that price is statistically extended above the mean and may be vulnerable to reversion.
14) Lower Event Label Logic
When price crosses into the lower band region:
if (touch_lower and cross_dn_in) or (touch_lower and cross_dn_out)
the script prints a bullish styled label below the bar:
"▲ %" + str.tostring(probability, "#.##") + " (Z:" + str.tostring(current_z_score, "#.##") + ")"
This reflects the idea that price is statistically extended below the mean and may be vulnerable to reversion.
15) Role of the Time Step Input
The dt_input parameter affects the conversion from the AR(1) coefficient into the OU reversion speed:
float theta_exact = -math.log(b) / dt
A larger dt lowers the inferred theta for the same b .
A smaller dt raises the inferred theta for the same b . 지표
Donchian Ribbon [UAlgo]Donchian Ribbon is a chart-overlay Donchian Channel ribbon that visualizes multiple lookback lengths at the same time. Instead of plotting a single Donchian Channel, the script builds a fixed stack of channels that increase in length and blends them into a clean, layered ribbon above and below price using progressive fills.
The goal is to make market structure and regime easier to read without clutter:
- When the ribbon expands and stays orderly (fast boundaries leading, slow boundaries following), it often reflects sustained range expansion and more directional flow.
- When the ribbon compresses and bands overlap frequently, it typically reflects consolidation, rotational behavior, and reduced clarity.
- The slowest channel provides the structural “outer frame” of the market’s recent range, while shorter channels react first and show how quickly the range is shifting.
This indicator is designed as a context tool. It does not attempt to “predict” direction by itself, but it gives a high-quality visual map of evolving highs/lows across multiple sensitivities so you can align entries, risk, and expectations with the current regime.
🔹 Features
1) Multi-Length Donchian Stack (Ribbon Engine)
The script constructs several Donchian Channels from a Base Length and a Step Length. Each band represents a different sensitivity level:
- Fast bands respond quickly to recent highs and lows.
- Slow bands respond more conservatively and define broader containment.
By stacking these lengths together, you can see short-term responsiveness and higher-level structure simultaneously.
2) Two-Sided Ribbon (Upper and Lower Envelopes)
The indicator visualizes both sides of the Donchian framework:
- Upper ribbon is built from stacked Donchian highs (highest highs per length).
- Lower ribbon is built from stacked Donchian lows (lowest lows per length).
This keeps interpretation intuitive: price pressing into the upper ribbon suggests pressure toward recent highs, while leaning into the lower ribbon suggests pressure toward recent lows.
3) Gradient Depth via Layered Fills (Clean Charts)
Instead of drawing many lines, the script fills the space between consecutive bands. Transparency is gradually adjusted from the fast band to the slow band, producing a smooth depth effect that stays readable even on busy charts.
Intermediate plots are intentionally hidden so the ribbon remains the main visual output.
4) Regime Readability (Expansion vs Compression)
Because each band has a different lookback length, the ribbon naturally communicates volatility and state:
- Expansion: spacing between fast and slow bands increases, commonly seen in stronger directional phases.
- Compression: spacing collapses and bands cluster, commonly seen in ranges, pauses, or choppy rotation.
This helps you quickly decide whether to treat price action as breakout-oriented, trend-continuation, or mean-reverting.
5) Trend Baseline Reference (Slow Midpoint)
A baseline is plotted using the midpoint of the slowest channel. This provides a stable reference that helps you judge whether price is operating in the upper or lower half of the broader range structure.
🔹 Calculations
1) Donchian High, Low, and Midpoint Per Band
Each Donchian band is computed from its own length:
- High = highest high over the lookback length
- Low = lowest low over the lookback length
- Mid = average of High and Low
id.high := ta.highest(id.length)
id.low := ta.lowest(id.length)
id.mid := math.avg(id.high, id.low)
2) Length Sequencing (Base Length + Step Length)
The indicator creates a fixed number of bands. Lengths are built as:
- Band 1: base_length
- Band 2: base_length + step_length
- Band 3: base_length + 2 * step_length
- ...
- Final band: base_length + (ribbon_count - 1) * step_length
This yields a consistent progression from fast to slow sensitivity.
int len = base_length + (i * step_length)
channels.push(DonchianChannel.new(len))
3) Iterative Updates with Arrays and Methods
All bands are stored in an array and updated every bar using a unified method call. This ensures every band follows identical rules and makes the logic scalable and maintainable.
for dc in channels
dc.update()
4) Upper Ribbon Construction (Layered Fills Between Highs)
The upper ribbon is created by filling between consecutive Donchian highs. Each layer uses the same upper tone with progressively stronger visibility toward the slow band.
fill(p_fast_high, p_mid1_high, color.new(col_upper, 90), "Ribbon Upper 1")
fill(p_mid1_high, p_mid2_high, color.new(col_upper, 80), "Ribbon Upper 2")
fill(p_mid2_high, p_mid3_high, color.new(col_upper, 70), "Ribbon Upper 3")
fill(p_mid3_high, p_slow_high, color.new(col_upper, 60), "Ribbon Upper 4")
5) Lower Ribbon Construction (Layered Fills Between Lows)
The lower ribbon is created by filling between consecutive Donchian lows with the lower tone, again using progressive transparency.
fill(p_fast_low, p_mid1_low, color.new(col_lower, 90), "Ribbon Lower 1")
fill(p_mid1_low, p_mid2_low, color.new(col_lower, 80), "Ribbon Lower 2")
fill(p_mid2_low, p_mid3_low, color.new(col_lower, 70), "Ribbon Lower 3")
fill(p_mid3_low, p_slow_low, color.new(col_lower, 60), "Ribbon Lower 4")
6) Trend Baseline (Slow Midpoint)
The baseline is the midpoint of the slowest Donchian band, plotted as a stable center reference for the broadest range framework.
plot(dc_slow.mid, "Trend Baseline",
color = color.from_gradient(0.5, 0, 1, col_lower, col_upper),
linewidth = 2)
7) Visualization Choice (Hidden Internals, Visible Structure)
To keep charts clean, most intermediate plots are hidden and the ribbon fills do the heavy lifting visually, while the slow boundaries remain visible as the outer frame.
p_fast_high = plot(dc_fast.high, "Fast High", color = color.new(col_upper, 80), display = display.none)
p_fast_low = plot(dc_fast.low, "Fast Low", color = color.new(col_lower, 80), display = display.none)
p_slow_high = plot(dc_slow.high, "Slow High", color = color.new(col_upper, 50))
p_slow_low = plot(dc_slow.low, "Slow Low", color = color.new(col_lower, 50))
지표
Rolling Liquidity Clusters Channel [LuxAlgo]The Rolling Liquidity Clusters Channel indicator identifies dynamic support and resistance zones by calculating levels that maximize candle wick touches while strictly avoiding intersections with candle bodies within a rolling window. This tool provides a unique perspective on liquidity clusters, highlighting price levels where historical rejection is most concentrated without being invalidated by price "closing" through them.
🔶 USAGE
The indicator plots a channel consisting of an Upper Level, a Lower Level, and a Mid Level. The space between these levels is filled with a vertical gradient to visually represent the strength of the liquidity zone.
Upper Level (Red): Represents a resistance zone where the most upper wicks are concentrated without any candle body in the lookback window crossing above it.
Lower Level (Green): Represents a support zone where the most lower wicks are concentrated without any candle body in the lookback window crossing below it.
Mid Level (Orange): Represents the equilibrium or average of the current liquidity channel.
Traders can use these levels to identify potential reversal points or areas of price consolidation. A breakout from the channel might indicate a shift in market structure as price moves beyond the most inclusive "non-broken" wick levels.
🔶 DETAILS
The script employs a specific constraint logic to ensure the levels represent true "untouched" liquidity:
🔹 Body-Crossing Constraint
Before identifying the wick touches, the script calculates the highest candle body high and lowest candle body low within the user-defined window. The resulting levels are guaranteed to stay outside of this "body zone," ensuring that the plotted levels represent prices that the market reached but failed to sustain via a close.
🔹 Maximizing Touches
To find the most significant level, the algorithm searches for the most inclusive price point. For the upper level, it identifies the lowest "high" that remains above all candle bodies. For the lower level, it identifies the highest "low" that remains below all candle bodies. This mathematical approach effectively finds the level where the most price action "clusters" via wicks.
🔹 Vertical Gradient Fills
The visual style uses a vertical gradient fill. The upper half fades from 90% transparency at the Upper Level (Red) to 100% transparency at the Mid Level. The lower half follows a similar logic, fading from the Lower Level (Green) toward the center. This creates a "glow" effect, emphasizing the outer boundaries where liquidity is highest.
🔶 SETTINGS
Window Size: The number of bars used for the rolling calculation. A larger window creates more stable, long-term levels, while a smaller window adapts quickly to recent price action.
Upper Level: Customize the color of the upper resistance level and its associated gradient fill.
Lower Level: Customize the color of the lower support level and its associated gradient fill.
Mid Level: Customize the color of the central equilibrium line.
지표
Adaptive Bounds RSI [LuxAlgo]The Adaptive Bounds RSI indicator utilizes online 1D K-Means clustering to dynamically adapt RSI overbought and oversold bounds based on evolving market conditions. Unlike traditional RSI thresholds (70/30) that remain static, this tool identifies five shifting clusters to better categorize price action into regimes ranging from deep discount to extreme premium.
🔶 USAGE
The indicator provides a more responsive way to identify overextended market conditions by learning from recent RSI distributions. Instead of relying on fixed levels that may be irrelevant in strong trends, the adaptive bounds expand and contract based on the volatility and momentum of the asset.
🔹 Regime Classification
The tool classifies the market into five distinct regimes based on five internal centroids (clusters):
Extreme Premium (Upper Bound): Represents highly overextended bullish conditions.
Bullish: The zone between the center and the upper bound.
Neutral: The area surrounding the 50-level midline.
Bearish: The zone between the center and the lower bound.
Deep Discount (Lower Bound): Represents highly overextended bearish conditions.
🔹 Signal Markers
The indicator plots circular markers directly on the RSI line when the oscillator crosses the adaptive bounds:
A Bullish Marker appears when the RSI crosses below the adaptive lower bound (Deep Discount).
A Bearish Marker appears when the RSI crosses above the adaptive upper bound (Extreme Premium).
To prevent signal clutter, these markers only reappear once the RSI has returned to cross the 50-level midline, ensuring the market has "reset" before a new overextended signal is generated.
🔶 DETAILS
The core of this indicator is an Online 1D K-Means algorithm. Unlike standard clustering which requires a full dataset, this online version updates its centroids bar-by-bar.
When a new RSI value is calculated, the algorithm determines which of the five centroids is closest to that value. It then shifts that "winning" centroid toward the RSI value by a factor determined by the Learning Rate. This allows the boundaries to "breathe" with the market; in a persistent uptrend, the upper bound will naturally migrate higher to avoid premature overbought signals.
🔶 SETTINGS
🔹 Oscillator Settings
RSI Length: Determines the lookback period for the underlying Relative Strength Index calculation.
🔹 K-Means Settings
Learning Rate (K-Means): Controls how quickly the adaptive bounds react to new data. A higher value makes the bounds move faster, while a lower value provides more stable, "sticky" boundaries.
🔹 Visuals
Lower Bound Color: Sets the color for the lower adaptive boundary and bullish signals.
Upper Bound Color: Sets the color for the upper adaptive boundary and bearish signals.
Auto RSI Color: When enabled, the RSI line matches the chart's foreground color.
RSI Color: Sets the color of the RSI line when "Auto RSI Color" is disabled.
🔶 ALERTS
Regime Flip: Triggers when the market transitions from a Neutral state into a trending cluster (Bullish or Bearish).
Lower Bound Cross: Triggers when the RSI crosses into the Deep Discount zone.
Upper Bound Cross: Triggers when the RSI crosses into the Extreme Premium zone.
지표
Neighboring Price Bands [LuxAlgo]The Neighboring Price Bands indicator provides dynamic support and resistance levels based on the local statistical distribution of historical prices relative to the current market position. Unlike traditional volatility bands that rely on fixed standard deviations, this tool identifies "price neighbors" within a sorted historical buffer to determine where the market has previously found friction.
🔶 USAGE
The indicator helps traders identify potential reversal zones and breakout opportunities by analyzing the density of price action around the current level.
🔹 Support and Resistance
The bands act as flexible zones of interest. The upper (green) band represents a bullish boundary derived from historical prices slightly higher than the current price, while the lower (red) band represents a bearish boundary from prices slightly lower. When the price interacts with these bands, it is entering a zone where historical price density suggests a potential reaction.
🔹 Price Discovery & Breakouts
A unique feature of this tool is the "Discovery" mechanism. If the current price moves beyond the range of its historical "neighbors" (e.g., reaching a new multi-period high or low), the corresponding band will disappear, and a background highlight will appear.
Bullish Discovery: A green background highlight indicates the price is entering uncharted territory relative to the historical buffer, suggesting a strong bullish breakout.
Bearish Discovery: A red background highlight indicates the price is dropping below its local historical distribution, suggesting a strong bearish breakdown.
🔶 DETAILS
The script maintains a historical buffer of prices, which it constantly sorts to create a price distribution. For every new bar, the algorithm performs the following:
It locates the current price within the sorted distribution.
It identifies a specific number of "neighbors" (K) above and below that position.
It calculates a specific percentile within those neighbors to plot the bands.
Because the bands are derived from actual price frequency rather than a calculation like standard deviation (Bollinger Bands) or Average True Range (Keltner Channels), they adapt more specifically to "sticky" price levels where the market has historically spent time.
🔶 SETTINGS
Historical Buffer (Bars): The total number of past bars used to build the price distribution. A larger buffer includes more historical context, while a smaller buffer makes the bands more reactive to recent local ranges.
Neighboring Range (K): Determines how many samples from the sorted distribution are used to calculate the bands. A smaller K makes the bands tighter and more sensitive to the immediate price position.
Percentile: Controls the width of the bands within the neighbor groups. Higher values push the bands further away from the current price.
Smoothing: Applies an SMA to the resulting bands to reduce noise and provide a cleaner visual output.
지표
LOWESS Channel & Extrapolation [LuxAlgo]The LOWESS Channel & Extrapolation indicator calculates a Locally Weighted Scatterplot Smoothing (LOWESS) curve to define a non-linear trend and projects it into future bars using local regression slopes. It provides a dynamic channel based on the standard deviation of residuals, helping traders identify overextended price levels and potential mean-reversion points.
The LOWESS Channel & Extrapolation indicator is subject to repainting and displayed retrospectively.
🔶 USAGE
This tool is primarily designed for trend analysis and identifying exhaustion points. Because the LOWESS algorithm recalculates based on the most recent data window, the entire historical curve can adjust, making it a powerful tool for backtesting and analyzing past market structures rather than for real-time signal generation without confirmation.
🔹 Trend Identification
The central fit line represents the smoothed local trend. When the curve is sloping upward, the local market sentiment is considered bullish; conversely, a downward slope indicates bearish sentiment.
🔹 Overbought/Oversold Conditions
The dashed outer channels represent a volatility-adjusted boundary. When price moves outside these boundaries, it is statistically overextended relative to the local trend, often preceding a move back toward the mid-line.
🔹 Extrapolation
The indicator extends the most recent local regression slope into the future. This provides a "path of least resistance" projection based on the current momentum of the smoothed curve.
🔶 DETAILS
The LOWESS (Locally Weighted Scatterplot Smoothing) algorithm works by performing a separate weighted linear regression for every data point in the window.
It uses a "tricube" weighting function, which ensures that data points closer to the focal point have a higher influence on the fit than points further away. This results in a curve that is much more flexible than a simple moving average and can adapt to complex price cycles without the lag associated with traditional filters.
The channel width is determined by calculating the Standard Deviation of the residuals (the difference between the actual price and the LOWESS fit). This ensures the channel expands during high volatility and contracts during consolidation.
🔶 SETTINGS
Length : Determines the number of historical observations used to fit the LOWESS curve. Larger values result in a smoother, more macro trend. Span : The fraction of data points used for each local regression. A higher span (closer to 1.0) creates a smoother line, while a lower span allows the curve to follow price more tightly. Channel Multiplier : Multiplier applied to the standard deviation of residuals to define the distance of the upper and lower bands from the mid-line. Extrapolation Bars : The number of bars to project the current trend into the future. Fit Color : Sets the color and transparency of the central LOWESS line. Channel Color : Sets the color of the dashed outer bands and the background fill. Line Width : Adjusts the thickness of the central fit line. 지표
Rolling Trendline [LuxAlgo]The Rolling Trendline indicator provides a dynamic, self-adjusting trendline that tracks price action using linear regression slope projections and automatically resets when price deviates beyond a specific threshold.
🔶 USAGE
The indicator is designed to provide a continuous trend bias without the "lag" often associated with static linear regression lines. It projects a line forward based on a calculated slope and only shifts its trajectory when the market demonstrates a significant change in momentum.
The addition of ATR-based volatility zones allows traders to visualize a range of expected price action around the projected trend, providing a buffer that accounts for market volatility at the time of each trend reset.
🔹 Interpreting the Line and Zones
Bullish Phase (Green): Indicates an upward-sloping trajectory. The trendline and its surrounding ATR zones will be colored green, suggesting a bullish bias.
Bearish Phase (Red): Indicates a downward-sloping trajectory. The trendline and its surrounding ATR zones will be colored red, suggesting a bearish bias.
ATR Zones: These shaded areas represent a volatility-adjusted range. As long as price remains within the deviation threshold, the zones follow the trendline's trajectory.
Reset Points: Visualized by a small circle and a break in the line, these occur when price moves too far from the projection. At this moment, the indicator re-anchors to the current price and recalculates both the slope and the ATR zone width.
🔶 DETAILS
The indicator follows a specific logic flow to maintain its "Rolling" characteristic:
1. Slope Calculation: It calculates the Linear Regression slope over a user-defined lookback period. This slope represents the average rate of change in price.
2. Projection: On every new bar, the indicator projects the next value of the trendline by adding the active slope to the previous trendline value.
3. Deviation Check: The indicator calculates a Standard Deviation threshold. If the distance between the current price and the projected trendline value exceeds this threshold, a reset is triggered.
4. Re-Anchoring: Upon a reset, the trendline "rolls" to the current price and adopts the most recent linear regression slope. Simultaneously, it captures the current ATR to set the width of the new trend zones.
🔶 SETTINGS
🔹 Trend Settings
Slope Lookback: The period used to calculate the linear regression slope. Higher values result in a slope that considers more historical data.
Deviation Multiplier: Determines how far price can deviate from the trendline before a reset occurs.
Slope Divisor: This setting allows you to tame the trajectory of the line. Higher values divide the captured slope, resulting in flatter trendlines.
Source: The price data used for all calculations (default is Close).
🔹 ATR Zones
ATR Length: The lookback period used for the Average True Range calculation, which determines the width of the volatility bands.
ATR Multiplier: Controls the width of the shaded zones around the trendline.
🔹 Visuals
Bullish/Bearish Trend Colors: Customizes the colors for the trendline and zones based on the slope direction.
Zone Color: Sets the base color for the ATR area fills.
Line Width: Adjusts the thickness of the primary rolling trendline.
지표
Whittaker Envelope [LuxAlgo]The Whittaker Envelope indicator is a visualization tool that uses Asymmetric Least Squares (ALS) to create a smooth, non-linear envelope that adapts to price extremes and troughs.
This indicator is for visualization purposes only and should not be used for direct trading signals without confirmation.
It is important to note that this script is displayed retrospectively . Because it calculates the best fit over a fixed historical window (the last N bars) using an iterative optimization process, the entire shape of the envelope can change as new data arrives. This means the indicator repaints and should be used to analyze overall market structure and volatility rather than for real-time execution.
🔶 USAGE
The Whittaker Envelope provides a unique way to visualize the "breathing" of the market. By applying different asymmetry parameters, the indicator generates a lower boundary that seeks out price troughs and an upper boundary that seeks out price peaks.
🔹 Trend and Volatility Analysis
The area between the upper and lower bounds represents the smoothed price range. A widening envelope suggests increasing volatility, while a narrowing one indicates consolidation. The dashed midline acts as a smoothed average of these two extremes, providing a baseline for the current trend.
🔹 Extrapolation
The tool includes a linear extrapolation feature that projects the current trajectory of the envelope into the future. This can help users visualize the potential direction of the trend if the current momentum persists.
🔶 DETAILS
The script implements the Whittaker-Eilers smoothing algorithm, which balances two conflicting goals: fitting the data points closely and keeping the resulting curve smooth.
By using Asymmetric Least Squares (ALS), we assign different weights to prices depending on whether they are above or below the curve. For the upper band, we use a high asymmetry value ( p ) so the curve is "pushed" toward the peaks. For the lower band, a very low p value is used to "pull" the curve toward the troughs.
🔶 SETTINGS
Length : The number of recent bars included in the calculation window.
Lambda (λ) : The smoothing factor. Higher values result in a stiffer, straighter envelope, while lower values allow the bands to follow price more closely.
Lower Asymmetry (p) : Controls how the lower band reacts to prices. Typically set to a very low value (e.g., 0.001) to ensure it follows the bottom of the price action.
Upper Asymmetry (p) : Controls how the upper band reacts to prices. Typically set to a very high value (e.g., 0.999) to ensure it follows the top of the price action.
Iterations : The number of times the ALS algorithm runs to refine the fit. More iterations provide a more accurate envelope but require more computational power.
Extrapolation : The number of bars to project the current slope of the bands into the future.
Source : The price data used for the calculation (default is Close).
지표
