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lib/cycles/dsp/dsp.md
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# DSP: Ehlers Detrended Synthetic Price
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Cycle |
| **Inputs** | Source (close) |
| **Parameters** | `period` (default 40) |
| **Outputs** | Single series (Dsp) |
| **Output range** | Varies (see docs) |
| **Warmup** | `slowPeriod * 3` bars |
### TL;DR
- DSP creates a zero-centered oscillator by subtracting a half-cycle EMA from a quarter-cycle EMA, isolating the dominant cyclical component of price...
- Parameterized by `period` (default 40).
- Output range: Varies (see docs).
- Requires `slowPeriod * 3` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
DSP creates a zero-centered oscillator by subtracting a half-cycle EMA from a quarter-cycle EMA, isolating the dominant cyclical component of price while cancelling longer-term trends. Developed by John Ehlers, the indicator is grounded in cycle theory rather than arbitrary period selection, making it a principled alternative to MACD for cycle-aware trading. Bias-corrected EMAs ensure accurate amplitude during warmup.
## Historical Context