M-channel cosine-modulated wavelet bases

Author

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

Author_Institution

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

Volume

1

fYear

1997

fDate

2-4 Jul 1997

Firstpage

325

Abstract

We propose a new M-channel wavelet bases called the cosine-modulated wavelets. We first generalize the theory of two-channel biorthogonal compactly supported wavelet bases to the M-channel case. A sufficient condition for the M-channel perfect reconstruction filter banks to construct M-channel compactly supported wavelet bases is given. By using this condition, a family of orthogonal and biorthogonal M-channel cosine-modulated wavelet bases is constructed by iterations of cosine-modulated filter banks (CMFB). The advantages of the approach are their simple design procedure, efficient implementation and good filter quality. A method for imposing the regularity on the cosine-modulated filter banks is also introduced and design example is given

Keywords

band-pass filters; filtering theory; modulation; signal reconstruction; signal representation; signal synthesis; wavelet transforms; M-channel cosine-modulated wavelet bases; analysis filters; biorthogonal M-channel cosine-modulated wavelet bases; cosine-modulated filter banks; iterations; orthogonal M-channel cosine-modulated wavelet bases; perfect reconstruction filter banks; regularity; signal representation; synthesis filters; two-channel biorthogonal compactly supported wavelet; Band pass filters; Biomedical signal processing; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency; Signal analysis; Signal resolution; Sufficient conditions; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Proceedings, 1997. DSP 97., 1997 13th International Conference on

Conference_Location

Santorini

Print_ISBN

0-7803-4137-6

Type

conf

DOI

10.1109/ICDSP.1997.628084

Filename

628084