Laguerre RSI

The Laguerre RSI indicator provides a smoother and more responsive alternative to the traditional Relative Strength Index by utilizing Laguerre polynomials to filter market noise without significant lag.

Usage

The Usage section describes how the script can be used to identify market momentum and potential reversal points. Traders typically look for the following:

• Overbought/Oversold Levels: Values above 0.8 (or 80 if normalized) suggest an overbought condition, while values below 0.2 (or 20) suggest an oversold condition.
• Crossovers: A cross back below the upper band indicates a potential bearish reversal, while a cross back above the lower band indicates a potential bullish reversal.
• Trend Strength: The indicator can stay pinned at the extremes during strong trends, helping traders stay in positions longer than they might with a standard RSI.

Details

This implementation is based on the work of John Ehlers. Unlike the standard RSI, which uses a fixed lookback period (e.g., 14 periods), the Laguerre RSI uses a four-stage Laguerre filter. The primary advantage of this approach is that it requires much less data to calculate a smooth output, making it highly reactive to recent price changes while filtering out minor fluctuations that cause "whipsaws" in traditional oscillators.

The calculation involves four Laguerre components (L0 through L3), which are used to derive the cumulative upward (CU) and downward (CD) price movements. These are then used to calculate the final oscillator value.

Settings

• Alpha: Determines the damping factor of the filter. A higher Alpha makes the indicator more responsive to price changes, while a lower Alpha increases smoothing.
• Highlight Bands Crossovers?: When enabled, specific visual markers (circles) will appear on the chart when the indicator crosses out of overbought or oversold zones.
• Apply Normalization to [0, 100]?: Toggles the scale of the indicator. By default, it ranges from 0 to 1. When enabled, the scale is shifted to 0 to 100 to match the traditional RSI look.
• Source: Defines the price input used for the calculation (typically the Close price).

FAQ

How do I interpret the Alpha setting?

The Alpha setting controls the sensitivity. An Alpha of 0.7 is common for shorter-term trading, while lower values can be used to capture broader market trends.

What is the difference between this and the standard RSI?

The Laguerre RSI is designed to have significantly less lag than a standard RSI of comparable smoothness, allowing for faster signal detection without the noise of a short-period RSI.

How can I access the Laguerre RSI?

You can get access on the LuxAlgo Library for charting platforms like TradingView, MetaTrader (MT4/MT5), and NinjaTrader for free.