Nonuniform multiwavelet packets associated with Nonuniform Multiresolution Analysis with Multiplicity D

Shiva Mittal, Nadya A.S. Atlouba, Ajit Paul

Abstract


In this paper we construct nonuniform multiwavelet packets associated with the nonuniform multiresolution analysis (NUMRA) with multiplicity D based on the theory of onedimensional spectral pairs, which is a generalization of NUMRA introduced by Gabardo and Nashed. Further, we obtained an orthonormal basis for L 2 (R) from the collection of dilation and transilation of nonuniform multiwavelet packets as a generalization of nonuniform multiwavelet packets, that generalizes a result of Behera on wavelet packets associated with NUMRA.

Keywords


NUMRA with multiplicity D; nonuniform Multiwavelet; wavelet packets.

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References


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