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lib/filters/laguerre/Laguerre.md
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# LAGUERRE: Ehlers Laguerre Filter
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Filter |
| **Inputs** | Source (close) |
| **Parameters** | `gamma` (default 0.8) |
| **Outputs** | Single series (Laguerre) |
| **Output range** | Tracks input |
| **Warmup** | `WarmupBars` bars |
### TL;DR
- The Laguerre Filter is a four-element IIR (Infinite Impulse Response) filter designed by John F.
- Parameterized by `gamma` (default 0.8).
- Output range: Tracks input.
- Requires `WarmupBars` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The problem with conventional filters is that they use unit delays. All-pass filters replace unit delays with frequency-dependent delays, and that changes everything." — John F. Ehlers
## Introduction