عنوان مجله
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International Journal of Wavelets Multiresolution and Information Processing
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چکیده
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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.
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