The Adaptive Laguerre Filter calculates a smoothed, dynamically adjusted trendline plotted directly on the main price chart. It dynamically adjusts its damping factor (alpha) based on recent price range variations and median percentile calculations over a spec
Indicator · Pine Script v6 · On the chart
Least Mean Squares Adaptive Filter (LMS)
This indicator calculates a Normalized Least Mean Squares (LMS) adaptive FIR filter based on the Widrow-Hoff learning algorithm.
GitHub stars99on the repository
Pine versionv6current
Lines of code48
Settings3inputs
LicenceApache-2.0
Last update4 weeks ago27 Sep 2026
Add It to Your TradingView Chart
- 1Copy the scriptPress Copy script above, or the copy button on the code below.
- 2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
- 3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
- 4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.
Source Code
48 lines of Pine Script v6 from lib/filters/lms/lms.pine, published under Apache-2.0. Keep the author's credit and licence lines when you reuse it.
// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Least Mean Squares Adaptive Filter (LMS)", "LMS", overlay=true)
//@function Applies Widrow-Hoff LMS adaptive FIR filter to input series
//@param src Input series to filter
//@param order Number of FIR filter taps (adaptive weights)
//@param mu Step size (learning rate) controlling adaptation speed
//@returns Adaptively filtered series
//@optimized Uses normalized LMS weight update with O(order) complexity per bar
lms(series float src, simple int order, simple float mu) =>
if order < 2
runtime.error("Filter order must be >= 2")
var array<float> w = array.new_float(order, 0.0)
// predict src[0] from src[1]..src[order]
float y = 0.0
float norm_sq = 0.0
for i = 0 to order - 1
float xi = nz(src[i + 1], 0.0)
y += array.get(w, i) * xi
norm_sq += xi * xi
float e = nz(src, 0.0) - y
// normalized step size for input-power-independent convergence
float mu_eff = mu / (1e-10 + norm_sq)
for i = 0 to order - 1
float xi = nz(src[i + 1], 0.0)
array.set(w, i, array.get(w, i) + mu_eff * e * xi)
y
// ---------- Main loop ----------
// Inputs
i_order = input.int(16, "Filter Order (taps)", minval=2, maxval=128)
i_mu = input.float(0.5, "Learning Rate (mu)", minval=0.01, maxval=1.99, step=0.05)
i_source = input.source(close, "Source")
// Calculation
lms_val = lms(i_source, i_order, i_mu)
// Plot
plot(lms_val, "LMS", color=color.yellow, linewidth=2)
Overview
Least Mean Squares Adaptive Filter (LMS) predicts the current bar price using weighted past values and dynamically adjusts its coefficients based on the prediction error and configured learning rate. The resulting adaptively smoothed trend line is plotted directly over price bars on the main chart. Key user settings include the filter order, learning rate step size, and source price.
- Widrow-Hoff Normalized LMS adaptive FIR filter
- Dynamic weight adaptation based on prediction error
- Configurable filter order and learning rate step size
- Direct overlay on price chart
Details
Published by
mihakralj on GitHub
Type
Indicator, Pine Script v6
Draws
On the price chart
Category
Trend, Moving averages
Markets
Any symbol
Timeframes
Any timeframe
Risk Notes
No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.
Topics
algorithmic-tradingcsharpdotnetpinescriptpythonquantitative-financesimdta-libtechnical-analysistechnical-indicators
Settings
The inputs you can change from the gear icon on the chart. Defaults are the author's.
| Setting | Type | Default | Variable |
|---|---|---|---|
| Filter Order (taps) | int | 16 | i_order |
| Learning Rate (mu) | float | 0.5 | i_mu |
| Source | source | close | i_source |
Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.
Similar Pine Scripts
This script plots three moving averages on the price chart: a fast EMA or SMA with 10 periods, a slow EMA or SMA with 20 periods, and a trend EMA or SMA with 100 periods. It signals trend changes by drawing a white cross when the fast moving average crosses ab
This indicator plots four customizable moving averages directly on the main price chart using default lengths of 3, 8, 21, and 50 periods. It fills the space between adjacent averages in green or maroon depending on trend alignment. Additionally, it computes B
This indicator plots three exponential moving averages and ATR volatility envelopes on the price chart. It compares the fast and slow EMAs to shade a trend ribbon and marks confirmed upward and downward crossovers with triangle labels. Settings change the thre
Donald SPX - Options Trading is an overlay indicator designed for intraday SPX analysis. It plots a 200-period Weighted Moving Average (WMA) on the price chart while evaluating multi-timeframe market structure across Daily, 15-minute, 5-minute, and 2-minute ba
This multi-timeframe indicator calculates and plots 20-period and 60-period simple moving averages from the 60-minute timeframe directly onto the price chart. The 20-period average displays as a green line, while the 60-period average appears in blue. It serve
Trade Your Charts With a Regulated Broker
Compare brokers that connect to TradingView, with spreads, minimum deposits and leverage side by side.
Compare brokers