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lib/trends_IIR/qema/Qema.md
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# QEMA: Quad Exponential Moving Average
# QEMA: Quad Exponential Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (IIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` |
| **Outputs** | Single series (Qema) |
| **Output range** | Tracks input |
| **Warmup** | `period` bars |
### TL;DR
- QEMA (Quad Exponential Moving Average) is a zero-lag smoothing filter that cascades four EMAs with geometrically ramped alphas and combines them us...
- Parameterized by `period`.
- Output range: Tracks input.
- Requires `period` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "Four EMAs walk into a bar. The first one's slow and thoughtful. The fourth one's practically twitching. Together, they somehow produce a signal that's both smooth and responsive. The bartender asks, 'How did you achieve zero lag?' They reply, 'Constrained quadratic optimization.' The bartender pours them a free drink."