M-band multi-wavelets from spline super functions with approximation order
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
A simple method for constructing M-band multi-wavelets using the super function idea is presented. The method is based on formulating the approximation order requirement in terms of a matrix equation and recognizing the generalized left eigenvectors of the matrix Lf a finite portion of the down sampled convolution matrix L as the coefficients that linearly combine to form the desired M-band spline super function with the desired approximation order. Several 3-band multi-wavelets with approximation orders two and three with multiplicity two and three are constructed.
Description
Keywords
Convolution, Eigenvalues and eigenfunctions, Functions, Matrix algebra, Wavelet transforms, Approximation order, Convolution matrix, M-band multi-wavelets, Super function, Signal processing
Journal or Series
Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
WoS Q Value
Scopus Q Value
Volume
4
