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lib/filters/lms/Lms.md
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# LMS: Least Mean Squares Adaptive Filter
# LMS: Least Mean Squares Adaptive Filter
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Filter |
| **Inputs** | Source (close) |
| **Parameters** | `order` (default 16), `mu` (default 0.5) |
| **Outputs** | Single series (LMS) |
| **Output range** | Tracks input |
| **Warmup** | `order + 1` bars |
### TL;DR
- The **Least Mean Squares (LMS) Adaptive Filter** is the Widrow-Hoff adaptive FIR filter, the simplest and most widely deployed adaptive algorithm i...
- Parameterized by `order` (default 16), `mu` (default 0.5).
- Output range: Tracks input.
- Requires `order + 1` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The filter that learns from its mistakes, one gradient step at a time."