Nonuniform multiwavelet packets associated with Nonuniform Multiresolution Analysis with Multiplicity D

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

Shiva Mittal Assistant Professor, Department of Mathematics SPM Govt. Degree College(A constituent college of University of Allahabad)Allahabad, India
Nadya A.S. Atlouba Department of Mathematics and Statistics, SHIATS (Deemed to be University), Allahabad, India
Ajit Paul Depatment of Mathematics and Statistics, SHIATS (Deemed to be University), Allahabad, India

Keywords: NUMRA with multiplicity D, nonuniform Multiwavelet, wavelet packets.

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 L²(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.

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