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Wavelet Packets and Their Statistical Applications

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Wavelet Packets and Their Statistical Applications Synopsis

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds.

Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.

About This Edition

ISBN: 9789811343759
Publication date:
Author: Khalil Ahmad, Abdullah
Publisher: Springer an imprint of Springer Nature Singapore
Format: Paperback
Pagination: 238 pages
Series: Forum for Interdisciplinary Mathematics
Genres: Functional analysis and transforms
Numerical analysis
Probability and statistics
Applied mathematics
Electronics engineering
Digital signal processing (DSP)

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