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Wavelet Decomposition Protocols represent a foundational methodology in advanced signal processing for analyzing non-stationary signals. Unlike the Fourier Transform, which only yields global frequency data, wavelet decomposition offers simultaneous time and frequency localization. This enables engineers to isolate short-term, transient anomalies alongside long-term, low-frequency trends. 1. The Core Decomposition Architectures

Wavelet protocols process signals by passing them through successive filter banks to generate specific coefficient types.

[ Input Signal ] | +———+———+ | | [Low-Pass] [High-Pass] | | (Downsample) (Downsample) | | [Approximation A1] [Detail D1] | +——-+——-+ | | [Low-Pass] [High-Pass] | | [Approximation A2] [Detail D2]

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