Wavelet Packet Transform for Signal Analysis

This documentation presents a MATLAB program designed for signal analysis using wavelet packet transform. The program implements wavelet packet decomposition algorithms that enable multi-resolution analysis of signals across different frequency bands. Key functions include wavelet packet tree construction, coefficient extraction, and energy calculation for feature vector generation. The implementation allows users to extract fault characteristic vectors by analyzing signal frequency and amplitude properties at multiple resolution levels. This wavelet packet-based approach provides superior time-frequency localization compared to traditional Fourier analysis, making it particularly effective for identifying hidden patterns and anomalies in signals. The program includes visualization tools for wavelet packet coefficients and energy distribution across nodes, facilitating comprehensive signal interpretation. This tool proves valuable for various signal processing applications and fault diagnosis scenarios, offering deeper insights into signal characteristics through advanced time-frequency analysis techniques.