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genpark-discrete-wavelet-transform-haar-daubechies-skill

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SUMMARY

Autonomous Agent Discrete Wavelet Transform (DWT) Multi-Resolution Subband Decomposition Engine

README.md

Discrete Wavelet Transform (Haar DWT) Skill

Orthogonal multi-resolution spatial-frequency decomposition using Haar scaling and wavelet filter banks.

flowchart LR
    Signal["Signal Vector x[n]"] --> LowPass["Scaling Filter (Approximation A)"]
    Signal --> HighPass["Wavelet Filter (Detail D)"]
    LowPass --> Coeffs["Combined Wavelet Coefficients [A | D]"]
    HighPass --> Coeffs
    Coeffs --> Synthesis["Orthonormal Synthesis Filter Bank"]
    Synthesis --> Reconstructed["Exact Reconstructed Signal"]

Features

  • 100% Python Standard Library: Orthonormal basis decomposition.
  • Simultaneous Time-Frequency Localization: Captures transient edges and steps.

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