Shift invariant properties of the dual-tree complex wavelet transform

Author

Kingsbury, Nick

Author_Institution

Dept. of Eng., Cambridge Univ., UK

Volume

3

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1221

Abstract

We discuss the shift invariant properties of a new implementation of the discrete wavelet transform, which employs a dual-tree of wavelet filters to obtain the real and imaginary parts of complex wavelet coefficients. This introduces limited redundancy (2^m:1 for m-dimensional signals) and allows the transform to provide approximate shift invariance and directionally selective filters (properties lacking in the traditional wavelet transform) while preserving the usual properties of perfect reconstruction and computational efficiency with good well-balanced frequency responses

Keywords

discrete wavelet transforms; filtering theory; signal reconstruction; trees (mathematics); approximate shift invariance filter; complex wavelet coefficients; computational efficiency; directionally selective filters; discrete wavelet transform; dual-tree complex wavelet transform; frequency responses; imaginary part; perfect reconstruction; real part; shift invariant properties; signal redundancy; Continuous wavelet transforms; Delay; Discrete wavelet transforms; Finite impulse response filter; Frequency; Gabor filters; Image reconstruction; Sampling methods; Wavelet analysis; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.756198

Filename

756198