L2 Sine-Weighted Moving Average (SWMA)

The L2 Sine-Weighted Moving Average (SWMA) indicator provides a smoothed trend-following mechanism that utilizes a sine wave distribution to assign maximum weight to the middle of a data set, reducing lag while maintaining smoothness.

Usage

The Usage section describes how the script can be used, particularly for identifying trend direction and potential entry or exit points through moving average crossovers. Because the Sine-Weighted Moving Average emphasizes the center of the lookback period, it behaves similarly to a Triangular Moving Average (TMA) but with a more organic weight distribution based on a sine curve.

The indicator is typically used in the following ways:

• Trend Identification: When the Fast SWMA is above the Slow SWMA, the trend is considered bullish (highlighted by a green cloud). When the Fast SWMA is below the Slow SWMA, the trend is considered bearish (highlighted by a red cloud).
• Crossover Signals: The script automatically plots "BUY" labels when the Fast SWMA crosses above the Slow SWMA and "SELL" labels when it crosses below.
• Support and Resistance: Traders can use the slow-period line as a dynamic level of support or resistance during established trends.

Details

The Sine-Weighted Moving Average was introduced by Patrick Lafferty in 1999. Unlike a Simple Moving Average (SMA), which weights all data points equally, or an Exponential Moving Average (EMA), which weights the most recent data most heavily, the SWMA uses the first half of a sine wave cycle (from 0 to pi) to determine weightings.

For an N-bar period, the weighting for each bar is calculated as sin(i * pi / (N+1)). This mathematical approach ensures that the most significant weight is placed on the middle data points of the lookback period. This construction helps filter out market noise and "outlier" volatility at the beginning or end of the lookback window, resulting in a curve that is often smoother than a standard SMA of the same length.

Settings

• Price Source: Determines the price data used for the calculation (e.g., Close, Open, High, Low, HL2).
• Fast Period Length: Sets the lookback period for the faster, more reactive SWMA line.
• Slow Period Length: Sets the lookback period for the slower, trend-defining SWMA line.

FAQ

How do I interpret the colored background between the lines? The cloud between the Fast and Slow SWMA lines represents the current momentum. A green cloud indicates bullish momentum (Fast > Slow), while a red cloud indicates bearish momentum (Slow > Fast).

What makes SWMA different from a standard Moving Average? Standard moving averages usually front-load or evenly distribute weight; the SWMA "center-loads" the weight using a sine wave, which can provide a unique perspective on price action by focusing on the "heart" of the selected time window.

How can I access the L2 Sine-Weighted Moving Average (SWMA)? You can get access on the LuxAlgo Library for charting platforms like TradingView, MetaTrader (MT4/MT5), and NinjaTrader for free.