Title :
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
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;
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
DOI :
10.1109/ICWAPR.2008.4635871
