mql5/Indicators/MyIndicators/RSIMa.md

Moving Average of RSI (RSI with Signal Line)

1. Summary (Introduction)

This indicator plots the standard Relative Strength Index (RSI) and overlays a moving average of the RSI, which acts as a signal line. While the RSI is a powerful momentum oscillator, it can often be volatile. Applying a moving average filters out short-term noise, providing a smoother line that can make the underlying momentum trend easier to identify.

The RSI Oscillator is a supplementary indicator that displays the difference between the main RSI line and its signal line as a histogram. It provides a clearer visual representation of accelerating and decelerating momentum, similar to the MACD histogram.

2. Mathematical Foundations and Calculation Logic

The indicator is a two-stage process. It first calculates the standard RSI and then applies a moving average to the resulting RSI values.

Required Components

• RSI (Relative Strength Index): The underlying momentum oscillator.
• Moving Average (MA): The smoothing mechanism applied to the RSI line.

Calculation Steps (Algorithm)

1. Calculate the RSI: First, calculate the standard RSI for a given period (e.g., 14) on the source price. The RSI formula is based on Wilder's smoothing of average gains and average losses. \text{RS}_i = \frac{\text{Wilder's MA}(\text{Up Moves}, \text{RSI Period})_i}{\text{Wilder's MA}(\text{Down Moves}, \text{RSI Period})_i} \text{RSI}_i = 100 - \frac{100}{1 + \text{RS}_i}

2. Calculate the Moving Average of RSI (Signal Line): Apply the selected moving average type with its specified period to the RSI data series calculated in the first step. \text{Signal Line}_i = \text{MA}(\text{RSI}, \text{MA Period})_i

3. Calculate the RSI Oscillator: The oscillator is the difference between the RSI line and its Signal Line. \text{Oscillator}_i = \text{RSI}_i - \text{Signal Line}_i

3. MQL5 Implementation Details

Our MQL5 implementations are designed for stability, clarity, and consistency.

• Stability via Full Recalculation: All versions employ a "brute-force" full recalculation within the OnCalculate function for maximum stability.

• Self-Contained Logic: All versions are completely self-contained. The standard version uses a handle to MQL5's built-in iRSI for efficiency, while the Heikin Ashi version uses our custom CHeikinAshi_RSI_Calculator.

• Fully Manual MA Calculations: To guarantee 100% accuracy and consistency, all moving average calculations for the signal line (SMA, EMA, SMMA, LWMA) are performed manually. This makes the indicators independent of the <MovingAverages.mqh> library and ensures robust behavior on non-timeseries arrays.

• Indicator Family:

  • Line Versions: RSIMA.mq5 and RSI_HeikinAshi.mq5 plot the RSI line and its signal line.
  • Oscillator Versions: RSI_Oscillator.mq5 and RSI_Oscillator_HeikinAshi.mq5 plot the difference between the two lines as a histogram.

• Heikin Ashi Variant (RSI_HeikinAshi.mq5):

  • Our toolkit also includes a Heikin Ashi version. The calculation logic is identical, but it uses the smoothed Heikin Ashi ha_close values as the input for the initial RSI calculation. This results in a doubly-smoothed oscillator.

4. Parameters

• RSI Period (InpPeriodRSI): The lookback period for the underlying RSI calculation. Default is 14.
• Applied Price (InpAppliedPrice): The source price used for the RSI calculation (standard version only).
• Signal Line Settings:
  • InpPeriodMA: The lookback period for the moving average that smooths the RSI line.
  • InpMethodMA: The type of moving average to use for smoothing (SMA, EMA, SMMA, LWMA).

5. Usage and Interpretation

• Trend and Momentum Confirmation: The primary use is to provide a clearer view of momentum. When the signal line is rising, it confirms bullish momentum; when it's falling, it confirms bearish momentum.
• Signal Generation via Crossovers:
  • RSI / Signal Line Crossover: When the raw RSI line crosses above its moving average, it can be seen as a bullish signal. A cross below is a bearish signal.
  • Centerline Crossover: A crossover of the signal line above the 50 level indicates that bulls are in control. A crossover below 50 indicates bears are in control.
• Oscillator (Histogram): The histogram provides a clear visual of the relationship between the RSI and its signal line, highlighting the acceleration and deceleration of momentum.
• Caution: The smoothing process introduces lag. The signal line will always react slower than the raw RSI. This filtering is its main advantage, but traders should be aware of the delay.