Title :
On the conjugate quadrature filters that do not generate orthonormal wavelets
Author :
Gripenberg, Gustaf
Author_Institution :
Dept. of Math., Helsinki Univ., Finland
fDate :
8/1/1995 12:00:00 AM
Abstract :
It is shown that the conjugate quadrature filters that fail to generate an orthonormal multiresolution are symmetrical if their length is at most 6 and have at most N-2 vanishing moments if their length is 2N⩾6
Keywords :
filtering theory; signal resolution; wavelet transforms; conjugate quadrature filters; filter length; multiresolution analysis; orthonormal multiresolution; orthonormal wavelets; subband filtering; symmetrical filters; vanishing moments; Eigenvalues and eigenfunctions; Filtering; Filters; Fourier transforms; Mathematics; Multiresolution analysis; Signal resolution; Sufficient conditions; Testing; Virtual manufacturing;
Journal_Title :
Signal Processing, IEEE Transactions on
