Wavelet Packets and Their Statistical Applications

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 wa...

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Hlavný autor: Ahmad, Khalil (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Singapore : Springer Singapore , 2018.
Vydanie:1st ed. 2018.
Edícia:Forum for Interdisciplinary Mathematics,
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ISBN:9789811302688
ISSN:2364-6748
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100 1 |a Ahmad, Khalil.  |4 aut 
245 1 0 |a Wavelet Packets and Their Statistical Applications  |h [electronic resource] /  |c by Khalil Ahmad, Abdullah. 
250 |a 1st ed. 2018. 
260 1 |a Singapore :  |b Springer Singapore ,  |c 2018. 
300 |a XVII, 238 p. 70 illus., 36 illus. in color.  |b online resource. 
490 1 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
500 |a Mathematics and Statistics  
505 0 |a 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. 
516 |a text file PDF 
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. 
650 0 |a Functional analysis. 
650 0 |a Numerical analysis. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Statistics . 
650 0 |a Signal processing. 
650 0 |a Image processing. 
650 0 |a Speech processing systems. 
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