CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD-Reference-Cited by-同舟云学术

CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD

Published:2009-09 Issue:05 Volume:07 Page:553-565
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

SHAH FIRDOUS AHMAD¹

Affiliation:

1. Department of Mathematics, University of Kashmir, South Campus, Anantnag, 192101, Jammu and Kashmir, India

Abstract

Wavelet packets are subsets of a multiresolution analysis and retain many of the orthogonality, smoothness and localization properties of their parent wavelets. In this paper, we study the construction of p-wavelet packets associated with multiresolution p-analysis defined by Farkov for L2(ℝ+). The collection of all dilations and translations of the wavelet packets defines the general wavelet packets and is an overcomplete system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691309003082

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