Mallat Algorithm-Based Three-Level Wavelet Decomposition Implementation

A three-level wavelet decomposition program implemented following the Mallat algorithm, developed without using MATLAB's wavelet toolbox functions to help users understand the fundamental principles of fast wavelet transform algorithms.

Extended description: In this program, we implement a three-level wavelet decomposition using the Mallat algorithm. Instead of utilizing MATLAB's built-in wavelet toolbox functions, we manually code the entire algorithm to provide deeper insight into the implementation mechanics of fast wavelet analysis. This approach demonstrates key computational steps including signal decomposition, filtering operations, and downsampling procedures at each level. Through this implementation, you can examine the complete wavelet decomposition process and understand how the Mallat algorithm enables efficient multi-resolution analysis. The code structure clearly shows the iterative filtering and subsampling operations that form the core of the fast wavelet transform. We hope this program serves as a valuable educational resource for understanding wavelet transform implementation!