mql5/Indicators/MyIndicators/VIDYA_MTF_Pro.md

Variable Index Dynamic Average (VIDYA) MTF Professional

1. Summary (Introduction)

The VIDYA_MTF_Pro is a multi-timeframe (MTF) version of Tushar Chande's adaptive moving average. It projects the VIDYA from a higher, user-selected timeframe onto the current chart.

The VIDYA adapts its speed based on the market's volatility (measured by the Chande Momentum Oscillator - CMO), making it an excellent tool for identifying the "true" trend of the higher timeframe.

2. Mathematical Foundations

The calculation combines an EMA with a volatility index:

1. CMO: Calculated on the higher timeframe to measure momentum/volatility.
2. Alpha: The smoothing factor is dynamically adjusted: \alpha = \frac{2}{N+1} \times |CMO|.
3. VIDYA: The recursive formula is applied to the higher timeframe data.

3. MQL5 Implementation Details

• Self-Contained: Uses direct Copy... functions; no external dependencies.

• Modular Engine (VIDYA_Calculator.mqh): Reuses the standard VIDYA logic, which in turn leverages the lightweight CMO_Engine.mqh for efficient momentum calculation.

• Optimized Incremental Calculation (O(1)):

  • HTF State Tracking: Tracks htf_prev_calculated to process only new bars on the higher timeframe.
  • Persistent State: The internal VIDYA buffer preserves the recursive value from the previous calculation step.
  • Smart Mapping: Projects the values to the current chart efficiently, handling the index alignment between timeframes correctly.

4. Parameters

• Upper Timeframe (InpUpperTimeframe): The calculation timeframe.
• CMO Period (InpPeriodCMO): Lookback for volatility measurement (Default: 9).
• EMA Period (InpPeriodEMA): Base smoothing period (Default: 12).
• Applied Price (InpSourcePrice): Standard or Heikin Ashi.

5. Usage and Interpretation

• Trend Filter: Price above MTF VIDYA = Bullish bias; Price below = Bearish bias.
• Flat Line: A flat MTF VIDYA indicates low volatility and consolidation on the higher timeframe.
• Support/Resistance: Due to its adaptive nature, the MTF VIDYA often hugs price action closely during trends, providing accurate dynamic support levels.