منابع مشابه
Wavelet Basis Packets and Wavelet Frame Packets
This article obtains the nonseparable version of wavelet packets on ~a and generalizes the "'unstability" result of nonorthogonal wavelet packets in Cohen-Daubechies to higher dimensional cases. 1 . I n t r o d u c t i o n The wavelet packets introduced by R. Coifman, Y. Meyer, and M. V. Wickerhauser played an important role in the applications of wavelet analysis as shown, for example, in [CMW...
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Compactly supported wavelet bases for Sobolev spaces is investigated. Steming from a pair of compactly supported refinale functions with multiscale dilation factor in space 2 3 ( ) L R meeting a very mild condition, we provide a general approach for constructing wavelet bases, which is the generalization of univariate wavelets in Hilbert space. The notion of orthogonal non-tensor product trivar...
متن کاملInterpolatory Wavelet Packets
Sherman D. Riemenschneider Zuowei Shen Department of Mathematics Department of Mathematics West Virginia University National University of Singapore Morgantown, WV 26506 Singapore 119260 [email protected] Abstract: In this note, we present a construction of interpolatory wavelet packets. Interpolatory wavelet packets provide a ner decomposition of the 2jth dilate cardinal interpolation spa...
متن کاملDiffusion wavelet packets
Diffusion wavelets can be constructed on manifolds, graphs and allow an efficient multiscale representation of powers of the diffusion operator that generates them. In many applications it is necessary to have time–frequency bases that are more versatile than wavelets, for example for the analysis, denoising and compression of a signal. In the Euclidean setting, wavelet packets have been very s...
متن کاملOn adaptive wavelet packets
An algorithm is presented for fast implementation of time-varying wavelet packets maintaining perfect reconstruction throughout transitions. It is based on filter banks known as the extended lapped transforms in an association following the paths of a binary-tree. Methods for pruning or expanding the branches of the tree are presented and a discussion on adaptation issues is carried. Recently, ...
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ژورنال
عنوان ژورنال: Information Technology Journal
سال: 2009
ISSN: 1812-5638
DOI: 10.3923/itj.2009.1275.1280