EL 7163 Wavelet Transforms and Filter Banks

Description:

Orthogonal and biorthogonal wavelet bases on the real line. Scaling functions and the dilation equation. Construction of Daubechies wavelet bases. Mallat's algorithm. Digital filter banks and the discrete wavelet transform. Two-dimensional wavelet transform and applications to image processing. Wavelet-based noise reduction. Lattice and lifting structures for implementation of filter banks. Expansive (over-complete) transforms. Additional applications. Students are required to complete a project and provide an oral presentation. Regular computer-based exercises are given.