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Indicators/MyIndicators/Authors/Ehlers/2_Oscillators/Gaussian_Momentum_Pro.md

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+# Gaussian Momentum Professional
+
+## 1. Summary (Introduction)
+
+The Gaussian Momentum Pro is an oscillator based on the concepts of John Ehlers. It applies a low-lag, **2-Pole Gaussian Filter** to a **momentum source (Close - Open)** instead of the price.
+
+While the standard `Gaussian_Filter_Pro` provides a smoothed representation of the trend, this indicator isolates and smooths the bar-by-bar momentum. The result is a responsive, zero-mean oscillator that measures the underlying strength and direction of price velocity.
+
+The key advantage of using a Gaussian filter for this purpose is its ability to provide significant smoothing to the inherently noisy momentum data, while introducing minimal lag compared to traditional moving averages.
+
+## 2. Mathematical Foundations and Calculation Logic
+
+The indicator is a Gaussian-smoothed average of the `Close - Open` value of each bar.
+
+### Calculation Steps (Algorithm)
+
+1. **Calculate Momentum Source:** For each bar, the source data is calculated as `Momentum = Close - Open`.
+2. **Apply Gaussian Filter:** A 2-pole Gaussian filter is calculated on this `Momentum` data series. The recursive formula is:
+    $\text{Filt}_i = c_0 \times \text{Momentum}_i + a_1 \times \text{Filt}_{i-1} + a_2 \times \text{Filt}_{i-2}$
+    The `c0, a1, a2` coefficients are derived from the user-selected `Period`.
+
+## 3. MQL5 Implementation Details
+
+* **Unified Calculator (`Gaussian_Filter_Calculator.mqh`):** This indicator uses the exact same, powerful calculator engine as the `Gaussian_Filter_Pro`. The only difference is that it is initialized in `SOURCE_MOMENTUM` mode.
+* **Heikin Ashi Integration:** The indicator fully supports calculation on smoothed Heikin Ashi data (`HA Close - HA Open`).
+* **Stability via Full Recalculation:** The indicator employs a full recalculation on every `OnCalculate` call to ensure the stateful, recursive calculation is always stable.
+
+## 4. Parameters
+
+* **Period (`InpPeriod`):** The cutoff period of the Gaussian filter, which controls its smoothing and responsiveness.
+* **Candle Source (`InpCandleSource`):** Selects between `Standard` and `Heikin Ashi` candles for the `Close - Open` calculation.
+
+## 5. Usage and Interpretation
+
+The Gaussian Momentum is a classic zero-mean oscillator used for identifying momentum shifts and potential reversals. It is most powerful when used in conjunction with its companion smoother, the `Gaussian_Filter_Pro`.
+
+### Standalone Usage
+
+* **Zero-Line Crossover:**
+  * A cross **above the zero line** indicates that bullish momentum is taking control.
+  * A cross **below the zero line** indicates that bearish momentum is dominant.
+* **Divergence:**
+  * **Bullish Divergence:** Price makes a **new lower low**, but the Gaussian Momentum makes a **higher low**. This signals weakening sell pressure.
+  * **Bearish Divergence:** Price makes a **new higher high**, but the Gaussian Momentum makes a **lower high**. This signals weakening buy pressure.
+
+### Combined Strategy with Gaussian Filter (Primary Use)
+
+The relationship between the momentum oscillator and its corresponding smoother provides a powerful timing signal.
+
+* **The Zero-Cross Predicts the Filter's Turning Point:**
+  * **Buy Signal:** When the **Gaussian Momentum** line crosses **above the zero line**, it signals that the `Gaussian_Filter` on the main chart is forming a **trough (a bottom)**. This is a leading signal that the short-term downtrend is ending.
+  * **Sell Signal:** When the **Gaussian Momentum** line crosses **below the zero line**, it signals that the `Gaussian_Filter` is forming a **peak (a top)**. This is a leading signal that the short-term uptrend is ending.