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