Biorthogonal Butterworth wavelets

Author

Zheludev, Valery A. ; Averbuch, Amir Z. ; Pevnyi, Alexander B.

Author_Institution

Sch. of Comput. Sci., Tel Aviv Univ., Israel

Volume

6

fYear

2001

fDate

2001

Firstpage

3645

Abstract

We present a new family of biorthogonal wavelet transforms and a related library of biorthogonal symmetric wavelets. For the construction we use the interpolatory discrete splines which enable us to design perfect reconstruction filter banks related to the Butterworth filters. The construction is performed in a “lifting” manner. The proposed scheme is based on interpolation and, as such, it involves only samples of signals and it does not require any use of quadrature formulas. These filters have linear phase property. The filters yield perfect frequency resolution

Keywords

Butterworth filters; filtering theory; interpolation; linear phase filters; recursive filters; signal reconstruction; signal resolution; signal sampling; splines (mathematics); wavelet transforms; Butterworth filters; biorthogonal Butterworth wavelets; interpolation; interpolatory discrete splines; lifting construction; linear phase filters; perfect frequency resolution; perfect reconstruction filter banks; signal samples; symmetric wavelets; wavelet transforms; Computer science; Digital filters; Filter bank; Frequency response; Interpolation; Libraries; Nonlinear filters; Signal processing; Signal resolution; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940632

Filename

940632