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Miha Kralj
2026-03-13 13:47:10 -07:00
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lib/cycles/ht_sine/HtSine.md
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- HT_SINE extracts the dominant market cycle phase and outputs both Sine and LeadSine (45° phase advance) for cycle timing.
- No configurable parameters; computation is stateless per bar.
- Output range: Varies (see docs).
- Requires `LOOKBACK` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
HT_SINE extracts the dominant market cycle phase and outputs both Sine and LeadSine (45° phase advance) for cycle timing. The crossover of these two waves identifies turning points in ranging markets up to one-eighth of a cycle early. Compatible with TA-Lib's `HT_SINE` function, the indicator builds on the full Hilbert Transform cascade (phasor extraction, homodyne period estimation, DFT phase accumulation) to produce dual bounded $[-1, +1]$ oscillators that track cycle position rather than price amplitude.
@@ -119,4 +117,4 @@ All constants are fixed by the TA-Lib specification.
- **Ehlers, J.F.** *Rocket Science for Traders*. Wiley, 2001.
- **TA-Lib** `TA_HT_SINE()` reference implementation.
- **Ehlers, J.F.** *Cybernetic Analysis for Stocks and Futures*. Wiley, 2004.
- **Hilbert, D.** *Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen*. Teubner, 1912.
- **Hilbert, D.** *Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen*. Teubner, 1912.