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lib/cycles/ht_dcphase/HtDcphase.md

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 # HT_DCPHASE: Ehlers Hilbert Transform Dominant Cycle Phase
 
+| Property         | Value                            |
+| ---------------- | -------------------------------- |
+| **Category**     | Cycle                        |
+| **Inputs**       | Source (close)                          |
+| **Parameters**   | None                      |
+| **Outputs**      | Single series (HT_DCPHASE)                       |
+| **Output range** | Varies (see docs)                     |
+| **Warmup**       | `LOOKBACK` bars                          |
+
+### TL;DR
+
+- HT_DCPHASE measures the instantaneous phase angle of the dominant market cycle using Ehlers' Hilbert Transform cascade.
+- 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_DCPHASE measures the instantaneous phase angle of the dominant market cycle using Ehlers' Hilbert Transform cascade. The output ranges from $-45°$ to $315°$, with phase discontinuities at cycle completions marking the transition from one cycle to the next. Compatible with TA-Lib's `HT_DCPHASE` function, the indicator enables cycle-position timing for entries and exits based on where price currently sits within the dominant cycle.
 
 ## Historical Context