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Butterworth Spectral Trend [QuantAlgo]

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🟢 Overview

The Butterworth Spectral Trend is a trend-following indicator built on a 2-pole Butterworth SuperSmoother rather than fixed moving averages or crossover logic. It extracts a low-noise spectral trend path from price, optionally stretches or compresses that path’s cutoff from residual signal-to-noise conditions, then converts filter slope into direction with hysteresis and hold controls so traders can separate genuine trend turns from short-lived noise across every timeframe and market.
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🟢 How It Works

The foundation of the indicator is a classic 2-pole Butterworth SuperSmoother. Coefficients are derived from the live cutoff period and a damping factor (√2 by default for the maximally flat Butterworth response), then applied recursively to the selected price source, with an optional Nyquist average of the current and prior sample to suppress 2-bar oscillation:
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A provisional filter always runs at the base cutoff. Residual energy (price minus provisional filter) and provisional slope energy are tracked with EMA-style RMS estimates. Their ratio maps market conditions into a noise weight that lengthens the cutoff when residuals dominate and shortens it when directional slope energy is cleaner:
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The live cutoff is blended toward that target with a smoothing factor so period changes do not jump bar to bar. The final spectral filter is then computed from those adaptive coefficients. When adaptivity is disabled, the filter always uses the fixed base cutoff period.

Direction is read from the spectral filter’s slope, not from price-versus-line crossovers. Optional hysteresis requires opposite slope to exceed a multiple of its typical recent magnitude before a flip is allowed, and a minimum hold bar count enforces a cooldown after each flip:
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This design means the trend path is spectral (period-based smoothing), while state flips are slope-gated. Clean directional conditions can tighten the cutoff for faster response; noisy conditions can lengthen it for more stability. Hysteresis and hold bars further reduce clustered flips without changing the underlying filter math.

Direction state is tracked through an integer trend direction, with signal conditions derived from comparing the current and prior bar states:
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🟢 Signal Interpretation

▶ Bullish Trend (Green/Bullish palette): When spectral filter slope turns positive and clears any active hysteresis and hold constraints, the indicator enters bullish mode with bullish colouring applied across the SuperSmoother line, optional spectral bodies, gradient fill, and BUY label. This state persists until slope reverses with enough strength (and after enough bars) to satisfy the signal filters, allowing shallow noise wiggles in the filter to occur without flipping direction.

▶ Bearish Trend (Red/Bearish palette): When spectral filter slope turns negative under the same constraints, the indicator enters bearish mode with bearish colouring across all visual elements. A confirmed opposite slope move is required to exit this state and print a SELL signal.
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🟢 Features

▶ Preconfigured Presets: Three parameter sets cover different trading approaches. "Default" targets swing trading on 1-hour to daily charts with a balanced base cutoff, moderate residual adaptivity, and lookback. "Fast Response" shortens the cutoff and strengthens adaptivity for intraday charts from 5-minute to 1-hour, where earlier turns matter more than flip sparsity. "Smooth Trend" lengthens the cutoff, softens adaptivity, and adds light hysteresis plus a short hold for position trading on daily and weekly timeframes, where false flips are more costly than delayed ones. Selecting a preset overrides the corresponding core, adaptivity, and signal inputs.
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▶ Built-in Alerts: Three alert conditions cover all directional states. "Bullish Trend Signal" fires on the bar where trend direction confirms bullish. "Bearish Trend Signal" fires on the bar where it confirms bearish. "Any Trend Change" combines both into a single condition for traders who want a unified notification regardless of direction. Alerts continue to work even when signal labels are hidden.
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▶ Visual Customisation: Six colour presets (Classic, Aqua, Cosmic, Cyber, Neon, and Custom) apply coordinated bullish and bearish colour schemes across the SuperSmoother line, spectral bodies, gradient fill, signal labels, and optional bar and background colouring. Bar colouring tints price candles with the active trend colour at a configurable transparency level, and background colouring extends the directional tint across the full chart pane.
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