DocumentCode
876339
Title
Parametrization of compactly supported orthonormal wavelets
Author
Zou, Hehong ; Tewfik, Ahmed H.
Author_Institution
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Volume
41
Issue
3
fYear
1993
fDate
3/1/1993 12:00:00 AM
Firstpage
1428
Lastpage
1431
Abstract
The parametrization of two-channel reconstruction quadrature mirror filter banks is extended to obtain a single characterization of discrete orthonormal wavelets. In particular, it is shown that discrete orthonormal wavelets of support less than 2N -1, where N is an even integer, are parametrized by N -1 real parameters, each taking values in (0, 2π). A parametrization of discrete orthonormal wavelets with a number of vanishing moments greater than one is also given
Keywords
digital filters; wavelet transforms; discrete orthonormal wavelets; parameters; quadrature mirror filter banks; two channel reconstruction filter; vanishing moments; Adaptive arrays; Adaptive signal processing; Antennas and propagation; Array signal processing; Discrete wavelet transforms; Erbium; Filter bank; Mirrors; Robustness; Speech processing;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.205749
Filename
205749
Link To Document