Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 385–396
Abstract
In this paper, the notion of $p$-wavelet packets on the positive half-line $\mathbb{R}^+$ is introduced. A new method for constructing non-orthogonal wavelet packets related to Walsh functions is developed by splitting the wavelet subspaces directly instead of using the low-pass and high-pass filters associated with the multiresolution analysis as used in the classical theory of wavelet packets. Further, the method overcomes the difficulty of constructing non-orthogonal wavelet packets of the dilation factor $p > 2$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.3969/j.issn.1672-4070.2012.04.007
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 385–396
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: $p$-Multiresolution analysis $p$-wavelet packets Riesz basis Walsh function Walsh-Fourier transform.