18.327 | Spring 2003 | Graduate

Wavelets, Filter Banks and Applications

Course Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for …
Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat’s pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.
Learning Resource Types
Lecture Notes
Problem Sets
Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter.
Two-dimensional scaling function generated using Daubechies’ 4-tap wavelet filter. (Image created by Prof. Amaratunga.)