Ehlers Reverse Exponential Moving Average

The Ehlers Reverse Exponential Moving Average indicator provides a zero-lag alternative to traditional moving averages by utilizing a predictive calculation method to identify trend direction and cyclical shifts.

Usage

The Usage section describes how the script can be used to identify market trends and short-term cycles. The indicator outputs two distinct lines—a Trend line and a Cycle line—which oscillate around a zero level.

• Trend Identification: The "Trend" line (typically calculated with a lower alpha) represents the long-term directional bias. When the Trend line is above zero, it indicates a bullish environment, while values below zero indicate a bearish environment.
• Cycle Timing: The "Cycle" line (calculated with a higher alpha) responds more quickly to price changes. Traders can look for crossovers between the Cycle and Trend lines or zero-line crossings to identify potential entry or exit points.
• Visual Confirmation: The area between the two lines is filled when both the Trend and Cycle lines share the same polarity (both positive or both negative), highlighting periods of strong momentum.

Details

Originally developed by John F. Ehlers and featured in Stocks & Commodities V. 35:10, the Reverse EMA aims to eliminate the inherent lag found in standard Exponential Moving Averages (EMAs).

The calculation involves a "look-ahead" process achieved through a recursive subtraction of error terms. By calculating a standard EMA and then iteratively computing a reverse component through multiple stages of power-weighted deltas, the script compensates for the smoothing delay. This specific implementation provides a dual-alpha approach, allowing users to track both the underlying trend and the immediate price cycle simultaneously.

Settings

• Trend Alpha: Determines the smoothing factor for the Trend line. Lower values result in a smoother, slower-moving line suitable for long-term bias.
• Cycle Alpha: Determines the smoothing factor for the Cycle line. Higher values allow the line to react faster to recent price fluctuations.
• Source: The price data used for the calculation (e.g., Close, Open, High, Low).

FAQ

How do I interpret the zero-line crossings?
A crossing above the zero line generally signals a shift to bullish momentum, while a crossing below suggests a shift to bearish momentum.

What is the difference between Trend Alpha and Cycle Alpha?
Trend Alpha is designed for long-term smoothing to filter out market noise, while Cycle Alpha is tuned to capture shorter-term price oscillations and reversals.

How can I access the Ehlers Reverse Exponential Moving Average?
You can get access on the LuxAlgo Library for charting platforms like TradingView, MetaTrader (MT4/MT5), and NinjaTrader for free.