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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
Finite equal norm Parseval wavelet frames over prime fields
Type
JournalPaper
Keywords
Finite wavelet frames; equal-norm Parseval frames (ENPFs); prime fields
Year
2017
Journal International Journal of Wavelets Multiresolution and Information Processing
DOI
Researchers Asghar Rahimi ،

Abstract

In the framework of wave packet analysis, finite wavelet systems are particular classes of finite wave packet systems. In this paper, using a scaling matrix on a permuted version of the discrete Fourier transform (DFT) of system generator, we derive a locally-scaled version of the DFT of system generator and obtain a finite equal-norm Parseval wavelet frame over prime fields. We also give a characterization of all multiplicative subgroups of the cyclic multiplicative group, for which the associated wavelet systems form frames. Finally, we present some concrete examples as applications of our results.