OPEN-SOURCE SCRIPT
Goertzel Cycle Hunter [forexobroker]

Goertzel Cycle Hunter scans seven Fibonacci-spaced cycle periods (5, 8, 13, 21, 34, 55, 89) using the Goertzel filter — a tuned single-frequency DFT that runs in O(N) per period. The dominant cycle's reconstructed cosine drives the trigger, gated by a power-ratio regime that confirms the cycle is real and not noise.
🔶 ALGORITHM
1. Detrend source = (high + low) / 2 minus its N-bar SMA, isolating the oscillatory component.
2. For each period N in [5, 8, 13, 21, 34, 55, 89], run the Goertzel recursion: s[n] = x[n] + 2 cos(2 pi / N) * s[n-1] - s[n-2].
3. Power = s1^2 + s2^2 - 2 cos(omega) * s1 * s2; reconstructed cosine = s1 - s2 * cos(omega).
4. Dominant period = argmax(power); power ratio = max_power / sum_power.
5. Rhythm regime active when power ratio >= threshold AND ATR > k * 50-bar SMA.
🔶 SIGNAL LOGIC
- Buy: rhythm active AND reconstructed cosine crosses zero up AND not already long AND cooldown elapsed AND barstate.isconfirmed.
- Sell: mirror with crossunder.
- Position-lock state machine.
🔶 INPUTS
- Goertzel Window (default 120)
- Min Power Ratio (default 0.20)
- ATR Activity Floor (default 0.20)
- Cooldown Bars (default 4)
- Visual: dashboard, glow, trend mid line, buy / sell colors
🔶 ALERTS
GCH Buy, GCH Sell, GCH Any Signal, GCH Rhythm Start, GCH Rhythm End, GCH Phase Up, GCH Phase Down, GCH Strong Cycle, GCH Webhook JSON.
🔶 LIMITATIONS
- Cycle hunting is meaningful only when the market actually has a dominant rhythm; in trending or trapped regimes the power ratio stays low and signals mute correctly.
- Computational cost = 7 Goertzel runs of N samples per bar. Defaults (N = 120) balance fidelity vs load.
- The seven Fibonacci periods are a coarse grid; true dominant cycle may fall between (e.g., 16, 27 bars). User can re-tune the window length to bias toward shorter or longer cycles.
- Detrend is SMA-based; structural breaks within the window can bias the cosine reconstruction for a few bars.
🔶 ALGORITHM
1. Detrend source = (high + low) / 2 minus its N-bar SMA, isolating the oscillatory component.
2. For each period N in [5, 8, 13, 21, 34, 55, 89], run the Goertzel recursion: s[n] = x[n] + 2 cos(2 pi / N) * s[n-1] - s[n-2].
3. Power = s1^2 + s2^2 - 2 cos(omega) * s1 * s2; reconstructed cosine = s1 - s2 * cos(omega).
4. Dominant period = argmax(power); power ratio = max_power / sum_power.
5. Rhythm regime active when power ratio >= threshold AND ATR > k * 50-bar SMA.
🔶 SIGNAL LOGIC
- Buy: rhythm active AND reconstructed cosine crosses zero up AND not already long AND cooldown elapsed AND barstate.isconfirmed.
- Sell: mirror with crossunder.
- Position-lock state machine.
🔶 INPUTS
- Goertzel Window (default 120)
- Min Power Ratio (default 0.20)
- ATR Activity Floor (default 0.20)
- Cooldown Bars (default 4)
- Visual: dashboard, glow, trend mid line, buy / sell colors
🔶 ALERTS
GCH Buy, GCH Sell, GCH Any Signal, GCH Rhythm Start, GCH Rhythm End, GCH Phase Up, GCH Phase Down, GCH Strong Cycle, GCH Webhook JSON.
🔶 LIMITATIONS
- Cycle hunting is meaningful only when the market actually has a dominant rhythm; in trending or trapped regimes the power ratio stays low and signals mute correctly.
- Computational cost = 7 Goertzel runs of N samples per bar. Defaults (N = 120) balance fidelity vs load.
- The seven Fibonacci periods are a coarse grid; true dominant cycle may fall between (e.g., 16, 27 bars). User can re-tune the window length to bias toward shorter or longer cycles.
- Detrend is SMA-based; structural breaks within the window can bias the cosine reconstruction for a few bars.
Skrip open-source
Dengan semangat TradingView yang sesungguhnya, pembuat skrip ini telah menjadikannya sebagai sumber terbuka, sehingga para trader dapat meninjau dan memverifikasi fungsinya. Salut untuk penulisnya! Meskipun Anda dapat menggunakannya secara gratis, perlu diingat bahwa penerbitan ulang kode ini tunduk pada Tata Tertib kami.
🔵Gain access to our powerful tools : kestutisbalciunas.com/tradingview/
🔵Join our free telegram for updates : t.me/algotradingedge
All scripts & content provided by Forexobroker are for informational & educational purposes only.
🔵Join our free telegram for updates : t.me/algotradingedge
All scripts & content provided by Forexobroker are for informational & educational purposes only.
Pernyataan Penyangkalan
Informasi dan publikasi ini tidak dimaksudkan, dan bukan merupakan, saran atau rekomendasi keuangan, investasi, trading, atau jenis lainnya yang diberikan atau didukung oleh TradingView. Baca selengkapnya di Ketentuan Penggunaan.
Skrip open-source
Dengan semangat TradingView yang sesungguhnya, pembuat skrip ini telah menjadikannya sebagai sumber terbuka, sehingga para trader dapat meninjau dan memverifikasi fungsinya. Salut untuk penulisnya! Meskipun Anda dapat menggunakannya secara gratis, perlu diingat bahwa penerbitan ulang kode ini tunduk pada Tata Tertib kami.
🔵Gain access to our powerful tools : kestutisbalciunas.com/tradingview/
🔵Join our free telegram for updates : t.me/algotradingedge
All scripts & content provided by Forexobroker are for informational & educational purposes only.
🔵Join our free telegram for updates : t.me/algotradingedge
All scripts & content provided by Forexobroker are for informational & educational purposes only.
Pernyataan Penyangkalan
Informasi dan publikasi ini tidak dimaksudkan, dan bukan merupakan, saran atau rekomendasi keuangan, investasi, trading, atau jenis lainnya yang diberikan atau didukung oleh TradingView. Baca selengkapnya di Ketentuan Penggunaan.