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lib/trends_IIR/zltema/Zltema.md
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# ZLTEMA: Zero-Lag Triple Exponential Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (IIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` |
| **Outputs** | Single series (Zltema) |
| **Output range** | Tracks input |
| **Warmup** | `Math.Max(lag + 1, EstimateWarmupPeriod(beta))` bars |
### TL;DR
- ZLTEMA takes a standard TEMA 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.
> "ZLTEMA combines the speed of zero-lag prediction with the smoothness of triple exponential averaging. You get the fastest response in the zero-lag family, with the best noise rejection from the TEMA cascade."
## TEMA with lag compensation via a zero-lag signal
> "ZLTEMA combines the speed of zero-lag prediction with the smoothness of triple exponential averaging. You get the fastest response in the zero-lag family, with the best noise rejection from the TEMA cascade."
ZLTEMA takes a standard TEMA and feeds it a **zero-lag signal**: current price minus a lagged price. This produces a smoother that responds faster than TEMA without going fully raw. The triple EMA cascade provides maximum noise rejection in the exponential family while the zero-lag preprocessing maintains responsiveness.
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6. **ZLDEMA vs ZLTEMA**
ZLTEMA adds a third EMA stage over ZLDEMA. This provides additional smoothing at the cost of more overshoot during reversals. Use ZLDEMA when overshoot is more concerning than noise; use ZLTEMA when maximum smoothness is required.
ZLTEMA adds a third EMA stage over ZLDEMA. This provides additional smoothing at the cost of more overshoot during reversals. Use ZLDEMA when overshoot is more concerning than noise; use ZLTEMA when maximum smoothness is required.