Custom Implementation of Fast Wavelet Transform Using Mallat Algorithm
- Login to Download
- 1 Credits
Resource Overview
A custom implementation of the fast wavelet transform based on Mallat algorithm using 'db1' wavelet function, featuring data truncation via wkeep command during convolution operations. The reconstructed signal demonstrates minimal error when compared with the original signal.
Detailed Documentation
I developed a fast wavelet transform implementation based on the Mallat algorithm utilizing the 'db1' wavelet function for computation. During convolution operations, I employed the wkeep command to perform data truncation, ensuring computational accuracy by maintaining proper signal length throughout the decomposition and reconstruction stages. The algorithm follows the standard Mallat pyramidal decomposition approach, where signal approximation and detail coefficients are computed through iterative filtering and downsampling operations. Comparative analysis between the reconstructed signal and original signal revealed negligible errors, validating the algorithm's effectiveness in preserving signal integrity during the transformation process. The implementation demonstrates proper handling of boundary conditions and efficient coefficient computation characteristic of the fast wavelet transform methodology.
- Login to Download
- 1 Credits