Wavelets and filter banks: relationships and new results

Author

Vetterli, Martin ; Herley, Cormac

Author_Institution

Dept. of Electr. Eng., Columbia Univ., New York, NY, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1723

Abstract

The discrete version of the wavelet transform, which has recently emerged as a powerful tool for nonstationary signal analysis is closely related to filter banks, which have been studied in digital signal processing. Also, multiresolution signal analysis has been used in image processing. The relationship between these techniques is indicated. It is shown how to construct biorthogonal systems with linear-phase finite impulse response (FIR) filters and with regular analysis and synthesis. Some examples of practical interest are given. The complexity of the discrete wavelet transform is also discussed

Keywords

digital filters; filtering and prediction theory; picture processing; signal processing; transforms; biorthogonal systems; digital signal processing; discrete wavelet transform; filter banks; image processing; linear-phase finite impulse response; multiresolution signal analysis; nonstationary signal analysis; wavelet transform; Digital signal processing; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Image processing; Image resolution; Signal analysis; Signal resolution; Signal synthesis; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115812

Filename

115812