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lib/trends_IIR/zldema/Zldema.md
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# ZLDEMA: Zero-Lag Double Exponential Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (IIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` |
| **Outputs** | Single series (Zldema) |
| **Output range** | Tracks input |
| **Warmup** | `Math.Max(lag + 1, EstimateWarmupPeriod(beta))` bars |
### TL;DR
- ZLDEMA takes a standard DEMA and feeds it a **zero-lag signal**: current price minus a lagged price.
- Parameterized by `period`.
- Output range: Tracks input.
- Requires `Math.Max(lag + 1, EstimateWarmupPeriod(beta))` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "ZLDEMA combines the speed of zero-lag prediction with the smoothness of double exponential averaging. You get faster response than ZLEMA, with better trend-following than DEMA."
## DEMA with lag compensation via a zero-lag signal
> "ZLDEMA combines the speed of zero-lag prediction with the smoothness of double exponential averaging. You get faster response than ZLEMA, with better trend-following than DEMA."
ZLDEMA takes a standard DEMA and feeds it a **zero-lag signal**: current price minus a lagged price. This produces a smoother that responds faster than DEMA without going fully raw. The dual EMA cascade provides additional noise rejection while the zero-lag preprocessing maintains responsiveness.
@@ -146,4 +164,4 @@ ZLDEMA is validated against a PineScript reference implementation.
5. **DEMA vs ZLDEMA**
ZLDEMA is not simply DEMA with a different alpha. The zero-lag preprocessing fundamentally changes the input signal, making ZLDEMA more responsive but also more prone to overshoot than standard DEMA.
ZLDEMA is not simply DEMA with a different alpha. The zero-lag preprocessing fundamentally changes the input signal, making ZLDEMA more responsive but also more prone to overshoot than standard DEMA.