NDLI: Shift invariant wavelet packet bases

Content Provider	IEEE Xplore Digital Library
Author	Cohen, I. Raz, S. Malah, D.
Copyright Year	1995
Description	Author affiliation: Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel (Cohen, I.; Raz, S.; Malah, D.)
Abstract	A shifted wavelet packet (SWP) library, containing all the time shifted wavelet packet bases, is defined. A corresponding shift-invariant wavelet packet decomposition (SIWPD) search algorithm for a "best basis" is introduced. The search algorithm is representable by a binary tree, in which a node symbolizes an appropriate subspace of the original signal. We prove that the resultant "best basis" is orthonormal and the associated expansion, characterized by the lowest "information cost", is shift-invariant. The shift-invariance stems from an additional degree of freedom, generated at the decomposition stage, and incorporated into the search algorithm. We prove that for any subspace it suffices to consider one of two alternative decompositions, made feasible by the SWP library. The computational complexity of SIWPD may be controlled at the expense of the attained information cost, to an extent of O(2Nlog/sub 2/N).
Starting Page	1081
Ending Page	1084
File Size	354011
Page Count	4
File Format	PDF
ISBN	0780324315
ISSN	15206149
DOI	10.1109/ICASSP.1995.480422
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-05-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet packets Libraries Entropy Signal processing Cost function Binary trees Statistical analysis Signal resolution Pursuit algorithms Additives
Content Type	Text
Resource Type	Article

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