A TUTORIAL ON FILTER BANKS AND WAVELETS 1 Truong

The theory and design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction

Wavelets And Filter Banks

Wavelet and short-time Fourier analysis is introduced in the context of frequency decompo-sitions. Wavelet type frequency decompositions are associated with lter banks, and using thisfact, lter bank theory is used to construct multiplicity M wavelet frames and tight frames. Theway in which lter banks lead to decomposition and recomposition of arbitrary separable Hilbertspaces is...

A tutorial overview of filter banks, wavelets and interrelations

Two channel lter banks (FBs) were developed for subbandspeech coding [16]. Since then FB theory has grown to includeFBs with more than two channels, tree-structured FBs etc. Arich theory for the design and implementation of FBs exists.Wavelets were originally developed as an alternative to theSTFT for non-stationary signal analysis [26]. Since then it hasbeen realized th...

Applications of Gröbner bases to signal and image processing: a survey

This paper is a tutorial and survey paper on the Gröbner bases method and some of its applications in signal and image processing. Although all the results presented in the paper are available in the literature, we give an elementary treatment here, in the hope that it will further bring awareness of and stimulate interest in Gröbner bases among researchers in signal and image processing. We gi...

Biorthogonal wavelets with 4-fold axial symmetry for quadrilateral surface multiresolution processing

Surface multiresolution processing is an important subject in CAGD. It also poses many challenging problems including the design of multiresolution algorithms. Unlike images which are in general sampled on a regular square or hexagonal lattice, the meshes in surfaces processing could have an arbitrary topology, namely, they consist of not only regular vertices but also extraordinary vertices, w...