M-channel compactly supported biorthogonal cosine-modulated wavelet bases

Author

Chan, S.C. ; Luo, Y. ; Ho, K.L.

Author_Institution

Dept. of Electr. Eng., Hong Kong Univ., Hong Kong

Volume

46

Issue

4

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

1142

Lastpage

1151

Abstract

We generalize the theory of compactly supported biorthogonal two-channel wavelet bases to M-channel. A sufficient condition for the M-channel perfect reconstruction filter banks to construct M-channel biorthogonal bases of compactly supported wavelets is derived. It is shown that the construction of biorthogonal M-channel wavelet bases is equivalent to the design of a M-channel perfect reconstruction filter bank with some added regularity conditions. A family of M-channel biorthogonal wavelet bases based on the cosine-modulated filter bank (CMFB) is proposed. It has the advantages of simple design procedure, efficient implementation, and good filter quality. A new method fur imposing the regularity on the CMFBs is also introduced, and several design examples are given

Keywords

band-pass filters; filtering theory; modulation; signal reconstruction; wavelet transforms; M-channel compactly supported wavelet bases; M-channel perfect reconstruction filter banks; biorthogonal cosine-modulated wavelet bases; cosine-modulated filter bank; filter quality; regularity conditions; sufficient condition; two-channel wavelet bases; Channel bank filters; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency; Signal analysis; Signal resolution; Sufficient conditions; Wavelet analysis; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.668566

Filename

668566