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Goertzel Cycle Hunter [forexobroker]

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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.

Penafian

Maklumat dan penerbitan adalah tidak bertujuan, dan tidak membentuk, nasihat atau cadangan kewangan, pelaburan, dagangan atau jenis lain yang diberikan atau disahkan oleh TradingView. Baca lebih dalam Terma Penggunaan.