Construction of vector valued wavelet packets on ℝ+ using Walsh-Fourier transform

P. Manchanda () and Vikram Sharma ()
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P. Manchanda: Guru Nanak Dev University
Vikram Sharma: Guru Nanak Dev University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 539-553

Abstract: Abstract In this paper, the concept of vector-valued wavelet packets in space L 2(ℝ+, ℂ N ) is introduced. Some properties of vector-valued wavelets packets are studied and orthogonality formulas of these wavelets packets are obtained. New orthonormal basis of L 2(ℝ+, ℂ N ) is obtained by constructing a series of subspaces of vector-valued wavelet packets.

Keywords: Vector-valued multiresolution analysis on ℝ+; Walsh function; Walsh-Fourier transform; vector-valued wavelet packets (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0080-9

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