NDLI: Perfectly translation-invariant complex wavelet packet transforms

Content Provider	IEEE Xplore Digital Library
Author	Toda, H. Zhong Zhang
Copyright Year	2009
Description	Author affiliation: Department of Production System Engineering, Toyohashi University of Technology,1-1 Hibarigaoka Tenpaku-cho, 441-8580, Japan (Toda, H.; Zhong Zhang)
Abstract	The complex discrete wavelet transform having perfect translation invariance has already been proposed. However, due to complication of frequency divisions with wavelet packets, it is difficult to design a complex wavelet packet transform having perfect translation invariance. In this paper, a useful theorem for achieving perfect translation invariance is proved, and a novel complex wavelet packet transform is disigned to create this perfect translate invariance. This complex wavelet packet transform is based on a Meyer wavelet, which has the important characteristic of having a wide range of shapes. Therefore, the complex wavelet packet transform having perfect translation invariance can be designed with the optimized shapes of the Meyer wavelet. One of them is based on a single Meyer wavelet and the other is based on a number of different shapes of the Meyer wavelets to create good localization of complex wavelet packets.
Starting Page	374
Ending Page	379
File Size	293850
Page Count	6
File Format	PDF
ISBN	9781424437283
DOI	10.1109/ICWAPR.2009.5207462
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-07-12
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Wavelet Transform Perfect Translation Invariance Complex Wavelet Packet Transform Wavelet analysis Wavelet packets Pattern recognition Pattern analysis
Content Type	Text
Resource Type	Article

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