Construction of vector valued wavelet packets on ?sub class="a-plus-plus">+ using Walsh-Fourier transform
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- 作者：P. Manchanda (1)
Vikram Sharma (1) - 关键词：Vector ; valued multiresolution analysis on ? ; Walsh function ; Walsh ; Fourier transform ; vector ; valued wavelet packets
- 刊名：Indian Journal of Pure and Applied Mathematics
- 出版年：2014
- 出版时间：August 2014
- 年：2014
- 卷：45
- 期：4
- 页码：539-553
- 全文大小：1,916 KB
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Vikram Sharma (1)
1. Department of Mathematics, Guru Nanak Dev University, Amritsar, 143 005, India - ISSN：0975-7465
文摘
In this paper, the concept of vector-valued wavelet packets in space L 2(?sub class="a-plus-plus">+, ?sup class="a-plus-plus"> 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(?sub class="a-plus-plus">+, ?sup class="a-plus-plus"> N ) is obtained by constructing a series of subspaces of vector-valued wavelet packets.