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Quantitative Kinematics & Regime Decoding

Impulse-X Terminal Preview

The Problem: The Phase Lag Death Spiral

Most systematic strategies fail because they rely on time-averaging indicators (Moving Averages, RSI, MACD). In a non-stationary system like the limit order book, averaging past data creates a terminal phase lag. By the time your indicator signals a "trend," the institutional move is already exhausted.

The Solution: Market Physics

This repository demonstrates a Kinematic approach to price action. Instead of treating price as a series of static candles, we treat it as a continuous physical object in motion.

Core Mathematical Pillars:

  • Savitzky-Golay Filtering: Replacing lagging MAs with polynomial-fit derivatives to extract instantaneous Velocity ($v$) and Acceleration ($a$).
  • Causal Hilbert Transforms: Utilizing reflective padding to extract the instantaneous phase of the market cycle without "end-point repainting."
  • Shannon Entropy ($H$): Measuring the Information Density of the signal to identify High Chaos environments where trend-following is statistically suicidal.
  • Hidden Markov Models (HMM): A Bayesian framework that synthesizes Kinematics and Entropy to decode the hidden structural regime of the market (e.g., Bull Drift vs. Kinematic Dip).

🔬 High-Performance Research

The logic in this repo is a subset of the Impulse-X Engine, a high-speed terminal environment optimized for disciplined traders who require objective math over gut feelings.

Performance Characteristics:

  • Strictly Causal: No look-ahead bias. No repainting.
  • Signal Demodulation: Separating structural alpha from high-entropy noise.
  • Regime Awareness: Automatically adjusting bias based on the HMM transition matrix.

📘 Deep Dive Documentation

For the full mathematical derivation, LaTeX frameworks, and terminal implementation specs, visit the official hub:

👉 Impulse-X Documentation & Technical Manual


📊 TradingView User? I've included a free Pine Script version of the Kinematic Velocity engine. Copy the code from the /pinescript folder and paste it into your editor. Secure your Alpha Seat on Gumroad

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Institutional-grade market regime decoding via Savitzky-Golay Kinematics and Hidden Markov Models (HMM). Engineered for zero-lag signal demodulation and structural alpha detection.

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