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Wavelet packets and their statistical applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Wavelet packets and their statistical applications/ by Khalil Ahmad, Abdullah.
Author:	Ahmad, Khalil.
other author:	Abdullah.
Published:	Singapore :Springer Singapore : : 2018.,
Description:	xvii, 238 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Wavelets (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-981-13-0268-8
ISBN:	9789811302688

Wavelet packets and their statistical applications
Ahmad, Khalil.

Wavelet packets and their statistical applications[electronic resource] /by Khalil Ahmad, Abdullah. - Singapore :Springer Singapore :2018. - xvii, 238 p. :digital ;24 cm. - Forum for interdisciplinary mathematics,2364-6748. - Forum for interdisciplinary mathematics..

Chapter 1. Preliminaries -- Chapter 2. Wavelet Packets -- Chapter 3. Convergence of Wavelet Packet Series -- Chapter 4. Function Spaces and Wavelet Packets -- Chapter 5. Applications in Signal Processing -- Chapter 6. Applications in Image Processing.

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.

ISBN: 9789811302688

Standard No.: 10.1007/978-981-13-0268-8doiSubjects--Topical Terms:

528163
Wavelets (Mathematics)

LC Class. No.: QA403.3 / .A363 2018

Dewey Class. No.: 515.2433

Wavelet packets and their statistical applications
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520 $a 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.
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