Variable-density complex discrete wavelet transform based on perfect translation invariance

Author

Toda, Hiroshi ; Zhang, Zhong

Author_Institution

Dept. of Production Syst. Eng., Toyohashi Univ. of Technol., Toyohashi

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

711

Lastpage

716

Abstract

The complex discrete wavelet transform having perfect translation invariance has already been proposed. However, its frequency density is fixed by octave filter banks and its time density is fixed by constant intervals between wavelets. In this paper, a novel complex discrete wavelet transform based on perfect translation invariance is designed to create variable time-frequency density. This transform can divide an octave frequency band into an arbitrary number of filter banks, and its wavelets can be arrayed on the time base with variable intervals, and its frame forms perfect translation invariance.

Keywords

channel bank filters; discrete wavelet transforms; time-frequency analysis; octave filter banks; octave frequency band; perfect translation invariance; time density; time-frequency density; variable-density complex discrete wavelet transform; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency; Pattern analysis; Pattern recognition; Production systems; Systems engineering and theory; Wavelet analysis; Wavelet transforms; Complex discrete wavelet transform; Perfect translation invariance; Variable density;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-2238-8

Electronic_ISBN

978-1-4244-2239-5

Type

conf

DOI

10.1109/ICWAPR.2008.4635871

Filename

4635871