From 56c045fc01913daf7c7d13522bd3ebb3bb0e8206 Mon Sep 17 00:00:00 2001 From: Toh4iem9 Date: Thu, 30 Oct 2025 13:56:37 +0100 Subject: [PATCH] new files added --- .../2_Oscillators/Correlation_Trend_Pro.md | 79 +++++++++++++++++++ 1 file changed, 79 insertions(+) create mode 100644 Indicators/MyIndicators/Authors/Ehlers/2_Oscillators/Correlation_Trend_Pro.md diff --git a/Indicators/MyIndicators/Authors/Ehlers/2_Oscillators/Correlation_Trend_Pro.md b/Indicators/MyIndicators/Authors/Ehlers/2_Oscillators/Correlation_Trend_Pro.md new file mode 100644 index 0000000..f59330f --- /dev/null +++ b/Indicators/MyIndicators/Authors/Ehlers/2_Oscillators/Correlation_Trend_Pro.md @@ -0,0 +1,79 @@ +# Correlation Trend Professional + +## 1. Summary (Introduction) + +The Correlation Trend Indicator, developed by John Ehlers, is a unique oscillator that measures the strength and direction of a trend in a purely statistical manner. Instead of using traditional moving averages or momentum calculations, it directly answers the question: **"How closely has the price action of the last N bars resembled a perfect, straight-line trend?"** + +The indicator calculates the **Pearson correlation** between the price series and a simple, monotonically changing time index over a specified period. The result is a smooth oscillator bounded between -1 and +1. + +* A value near **+1** indicates a strong, consistent **uptrend**. +* A value near **-1** indicates a strong, consistent **downtrend**. +* A value near **0** indicates a **sideways or choppy market** with no clear linear trend. + +This provides a very "honest" and direct assessment of the market's trendiness, free from the complexities of many other indicators. + +## 2. Mathematical Foundations and Calculation Logic + +The indicator is a direct application of the Pearson correlation coefficient formula. + +### Required Components + +* **Period (N):** The lookback period for the correlation calculation. +* **Source Price (P):** The price series to be analyzed. +* **Time Index (T):** A simple, linearly changing series (e.g., 1, 2, 3, ..., N). + +### Calculation Steps (Algorithm) + +For each bar, the indicator looks back over the last `N` periods and performs the following steps: + +1. **Define Data Sets:** Create two data sets: `X` (the price series) and `Y` (the time index series). +2. **Calculate Sums:** Compute the five core sums required for the Pearson formula: + * Sum of X (`Sx`) + * Sum of Y (`Sy`) + * Sum of X*X (`Sxx`) + * Sum of Y*Y (`Syy`) + * Sum of X*Y (`Sxy`) +3. **Apply Correlation Formula:** The final correlation value is calculated using the standard formula: + $\text{Corr} = \frac{N \times Sxy - Sx \times Sy}{\sqrt{(N \times Sxx - Sx^2) \times (N \times Syy - Sy^2)}}$ + +## 3. MQL5 Implementation Details + +* **Self-Contained Calculator (`Correlation_Trend_Calculator.mqh`):** The entire statistical calculation is encapsulated within a dedicated, reusable calculator class. +* **Heikin Ashi Integration:** An inherited `_HA` class allows the calculation to be performed seamlessly on smoothed Heikin Ashi data. +* **FIR-based Logic:** This is a non-recursive (FIR) filter. Its calculation at any given bar depends only on the last `N` prices. +* **Stability via Full Recalculation:** The indicator employs a full recalculation on every `OnCalculate` call to ensure stability and accuracy. + +## 4. Parameters + +* **Period (`InpPeriod`):** The lookback period (`N`) for the correlation calculation. This is the most important parameter and should be aligned with your trading horizon. + * **Short Periods (e.g., 10-20):** More sensitive, useful for identifying short-term swings and cycle turning points. + * **Long Periods (e.g., 40-60):** Smoother, useful for identifying longer-term, established trends. +* **Applied Price (`InpSourcePrice`):** The source price for the calculation. + +## 5. Usage and Interpretation + +The Correlation Trend indicator is a versatile tool for both trend identification and cycle timing. + +### **1. Trend Identification and Strength** + +This is the primary use case. The indicator's level provides a clear gauge of the trend. + +* **Strong Uptrend:** The indicator is consistently above a high threshold (e.g., +0.6). +* **Strong Downtrend:** The indicator is consistently below a low threshold (e.g., -0.6). +* **Ranging Market:** The indicator oscillates around the zero line, indicating a lack of a clear, sustained trend. + +### **2. Trend Reversal Confirmation (Zero-Line Cross)** + +A cross of the zero line signals a change in the dominant trend over the lookback period. + +* **Buy Signal:** The indicator crosses **above the zero line**, confirming that the market has shifted from a downtrend/range into an uptrend. +* **Sell Signal:** The indicator crosses **below the zero line**, confirming a shift to a downtrend. +* **Note:** These are lagging, confirming signals, not leading ones. + +### **3. Cycle Timing (with Shorter Periods)** + +When a shorter period is used (e.g., 10-20 on an intraday chart), the indicator acts as a smooth oscillator. + +* **Buy Signal:** A turn upwards from a trough in the negative territory. +* **Sell Signal:** A turn downwards from a peak in the positive territory. +* This is best used in conjunction with a longer-term trend filter, taking signals only in the direction of the main trend.