OPEN-SOURCE SCRIPT
Higuchi Fractal Dimension [forexobroker]
Higuchi Fractal Dimension estimates the fractal dimension D of the price curve in a bounded [1, 2] interval: D close to 1 means smooth and trending, D close to 2 means jagged and random. The simplified two-scale variant (k = 1 and k = 4) gives a fast, deterministic estimator suitable for live charts.
🔶 ALGORITHM
1. L(1) = average absolute single-bar move over the window: sum |close - close[i+1]| / (N - 1).
2. L(4) = average absolute four-bar move, normalised by step count.
3. Dimension D = log(L(1) / L(4)) / log(4) + 1, clipped to [1, 2].
4. Smooth regime when D <= threshold.
5. Direction comes from close vs trend SMA.
🔶 SIGNAL LOGIC
- Buy: smooth regime AND close > SMA AND close crosses SMA up AND not already long AND cooldown elapsed AND barstate.isconfirmed.
- Sell: smooth regime AND close < SMA AND close crosses SMA down.
- Position-lock state machine.
🔶 INPUTS
- Higuchi Window (default 60)
- Trend SMA Length (default 20)
- Smooth Threshold (default 1.65)
- Cooldown Bars (default 4)
- Visual: dashboard, glow, SMA toggle, buy / sell colors
🔶 ALERTS
HFD Buy, HFD Sell, HFD Any Signal, HFD Smooth On, HFD Smooth Off, HFD Strong Trend, HFD Strong Chop, HFD SMA Cross Up, HFD Webhook JSON.
🔶 LIMITATIONS
- Two-scale (k = 1, k = 4) approximation is faster but less accurate than the full Higuchi method (k = 1..k_max).
- D depends on price scale, partly mitigated by ratio formulation; on extremely thin instruments the estimator can saturate.
- Threshold 1.65 is calibrated to liquid majors / indices; faster instruments may need a lower threshold.
- "Random walk" is theoretical D = 1.5; real charts often show D between 1.4 and 1.7 even in clearly trending sessions.
🔶 ALGORITHM
1. L(1) = average absolute single-bar move over the window: sum |close - close[i+1]| / (N - 1).
2. L(4) = average absolute four-bar move, normalised by step count.
3. Dimension D = log(L(1) / L(4)) / log(4) + 1, clipped to [1, 2].
4. Smooth regime when D <= threshold.
5. Direction comes from close vs trend SMA.
🔶 SIGNAL LOGIC
- Buy: smooth regime AND close > SMA AND close crosses SMA up AND not already long AND cooldown elapsed AND barstate.isconfirmed.
- Sell: smooth regime AND close < SMA AND close crosses SMA down.
- Position-lock state machine.
🔶 INPUTS
- Higuchi Window (default 60)
- Trend SMA Length (default 20)
- Smooth Threshold (default 1.65)
- Cooldown Bars (default 4)
- Visual: dashboard, glow, SMA toggle, buy / sell colors
🔶 ALERTS
HFD Buy, HFD Sell, HFD Any Signal, HFD Smooth On, HFD Smooth Off, HFD Strong Trend, HFD Strong Chop, HFD SMA Cross Up, HFD Webhook JSON.
🔶 LIMITATIONS
- Two-scale (k = 1, k = 4) approximation is faster but less accurate than the full Higuchi method (k = 1..k_max).
- D depends on price scale, partly mitigated by ratio formulation; on extremely thin instruments the estimator can saturate.
- Threshold 1.65 is calibrated to liquid majors / indices; faster instruments may need a lower threshold.
- "Random walk" is theoretical D = 1.5; real charts often show D between 1.4 and 1.7 even in clearly trending sessions.
Script open-source
Nello spirito di TradingView, l'autore di questo script lo ha reso open source, in modo che i trader possano esaminarne e verificarne la funzionalità. Complimenti all'autore! Sebbene sia possibile utilizzarlo gratuitamente, ricordiamo che la ripubblicazione del codice è soggetta al nostro Regolamento.
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All scripts & content provided by Forexobroker are for informational & educational purposes only.
🔵Join our free telegram for updates : t.me/dominicwalsfxhtrader
All scripts & content provided by Forexobroker are for informational & educational purposes only.
Declinazione di responsabilità
Le informazioni e le pubblicazioni non sono intese come, e non costituiscono, consulenza o raccomandazioni finanziarie, di investimento, di trading o di altro tipo fornite o approvate da TradingView. Per ulteriori informazioni, consultare i Termini di utilizzo.
Script open-source
Nello spirito di TradingView, l'autore di questo script lo ha reso open source, in modo che i trader possano esaminarne e verificarne la funzionalità. Complimenti all'autore! Sebbene sia possibile utilizzarlo gratuitamente, ricordiamo che la ripubblicazione del codice è soggetta al nostro Regolamento.
🔵Gain access to our powerful tools : forexobroker.com/tv
🔵Join our free telegram for updates : t.me/dominicwalsfxhtrader
All scripts & content provided by Forexobroker are for informational & educational purposes only.
🔵Join our free telegram for updates : t.me/dominicwalsfxhtrader
All scripts & content provided by Forexobroker are for informational & educational purposes only.
Declinazione di responsabilità
Le informazioni e le pubblicazioni non sono intese come, e non costituiscono, consulenza o raccomandazioni finanziarie, di investimento, di trading o di altro tipo fornite o approvate da TradingView. Per ulteriori informazioni, consultare i Termini di utilizzo.