LCD Laguerre Convergence Divergence
- Indicators
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Andres Felipe Carvajal Rodriguez
I do not develop indicators to follow the market. I develop algorithms to understand it.
My goal is to transform price complexity into objective, robust, and efficient tools that help traders make decisions with greater precision, consistency, and risk control. - Version: 1.2
- Updated: 11 September 2025
LCD Laguerre Convergence Divergence: An Advanced MACD
The LCD Laguerre Convergence Divergence is an advanced technical indicator designed to improve upon the classic MACD, offering faster, more sensitive, and adaptive momentum detection. Its key advantage is the use of Laguerre filters, which react more precisely to price changes than traditional moving averages.
Key Advantages
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Higher Sensitivity & Less Lag: Laguerre filters generate earlier entry and exit signals, which is crucial in volatile markets.
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Adaptability to Volatility: The indicator dynamically adjusts based on the ATR (Average True Range), filtering out noise during low volatility and reacting quickly in high volatility.
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Enhanced Noise Filtering: It includes a Decision Zone and additional smoothing (an EMA of the histogram) to reduce false signals.
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Optional Volume Confirmation: Signals can be validated with volume, which is useful for H1-D1 timeframes; it can be disabled for M1-M30 scalping.
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Visual Flexibility: You can customize the colors, thickness, and styles of the lines and histogram.
Components and Functionality
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L-Fast Line: Represents short-term momentum and responds quickly to price.
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L-Signal Line: A smoothed average of the L-Fast line, used for signal crossovers.
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Histogram: The difference between the L-Fast and L-Signal lines, indicating the strength and direction of momentum (green = bullish, red = bearish).
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Zero Line: The reference line at 0.0.
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Decision Zone: An area indicating market indecision, which helps avoid false signals.
The indicator internally calculates Laguerre filters for the fast and slow lines, and applies additional noise and smoothing filters to refine signals.
Interpreting Signals
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Bullish: The L-Fast line crosses above the L-Signal line and the histogram is positive (green bars). This is confirmed by volume if the option is active.
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Bearish: The L-Fast line crosses below the L-Signal line and the histogram is negative (red bars). This is confirmed by volume if the option is active.
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Direction Changes: A Zero Line crossover indicates a shift in momentum.
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Momentum Strength: The expansion of the histogram shows strong momentum; contraction indicates it is weakening.
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Divergences: Discrepancies between price and the indicator can anticipate reversals.
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Decision Zone: Avoid trading when the histogram is inside this indecision zone.
Customization and Usage
The LCD is ideal for identifying momentum, generating crossover signals, confirming trends, and filtering noise. It is not a standalone strategy but a complement to your analysis.
Important Parameters:
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Line Settings: Adjust gammaFast/Slow for Laguerre filter reactivity; signalPeriod and signalMethod (EMA recommended) for the signal line.
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Volatility Adaptation: atrPeriod , atrLow/HighVol , tfATR .
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Noise Filter: DecisionZone and histogramEMAPeriod .
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Volume Confirmation: UseVolumeConfirmation and VolumeSensitivity .
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Visualization: Colors, styles, and thickness of lines and the histogram.
Suggested configurations exist for Scalping, Day Trading, or Swing Trading, but it is recommended to backtest and adjust them based on your specific asset and trading style.
Comparison with Classic MACD
| Feature | Classic MACD | LCD Laguerre Convergence Divergence |
| Underlying Filters | Exponential Moving Averages (EMA) | Laguerre Filters (L0-L3) |
| Latency/Lag | Moderate to High | Very Low, reacts faster |
| Adaptability | Fixed | Dynamic based on ATR |
| Noise Filtering | Basic | Advanced: Decision Zone + Histogram EMA |
| Confirmation | Price only | Optional with volume |
| Sensitivity | Dependent on EMA | Dynamically adjustable |
| False Signals | More frequent | Less prone due to filters |
| Typical Use | Trends and divergences | Scalping, Day Trading, Swing, early reversal detection |
Conclusion
The LCD retains the core function of the MACD (the difference between fast and signal lines) but enhances it with adaptive Laguerre filters, higher sensitivity, advanced noise filtering, and the option for volume confirmation. It is a faster, more accurate, and robust tool for detecting momentum and signals in any market condition.
Summary for MACD Users
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It works just like a classic MACD: a fast line, a signal line, and a histogram.
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It improves on the MACD using adaptive Laguerre filters, advanced noise filtering, and optional volume confirmation.
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It is ideal for traders who want more precise, less noisy signals on any timeframe.
