Harmonic Wavelet Decomposition and Reconstruction Implementation

This MATLAB source code implements harmonic wavelet decomposition and reconstruction algorithms for signal analysis. The program is based on wavelet transform principles, decomposing signals into different frequency wavelet components to better analyze and understand signal characteristics. The implementation utilizes specific harmonic wavelet functions for decomposition and reconstruction to achieve more accurate results. The algorithm employs frequency-domain filtering techniques to separate signal components at different scales, with inverse transforms enabling precise signal reconstruction. Beyond core decomposition and reconstruction functions, we have incorporated additional features including data visualization through spectrogram displays and time-frequency analysis plots, along with data export capabilities in multiple formats (MAT, CSV, TXT) for convenient user data handling. These enhancements aim to provide a comprehensive and powerful toolkit for harmonic wavelet analysis, enabling users to obtain superior results in signal processing applications. The code structure includes modular functions for wavelet coefficient computation, threshold processing, and reconstruction validation, ensuring robust performance across various signal types.