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...
متن کاملBIORTHOGONAL p–WAVELET PACKETS RELATED TO THE WALSH POLYNOMIALS
This paper deals with the construction of biorthogonal p -wavelet packets on R+ related to the Walsh polynomials and their properties are investigated by means of Walsh-Fourier transform. Three biorthogonal formulas regarding these p -wavelet packets are derived. Moreover, it is shown how to obtain several new Riesz bases of the space L2(R+) by constructing a series of subspaces of these p -wav...
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, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Apllied Mathematics
سال: 2013
ISSN: 1311-1728,1314-8060
DOI: 10.12732/ijam.v26i3.4