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＜電子ブック＞
Wavelet Packets and Their Statistical Applications / by Khalil Ahmad, Abdullah
(Forum for Interdisciplinary Mathematics. ISSN:23646756)

版	1st ed. 2018.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2018
本文言語	英語
大きさ	XVII, 238 p. 70 illus., 36 illus. in color : online resource
著者標目	*Ahmad, Khalil author Abdullah author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Numerical analysis LCSH:Mathematics LCSH:Statistics  LCSH:Signal processing FREE:Functional Analysis FREE:Numerical Analysis FREE:Applications of Mathematics FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Signal, Speech and Image Processing
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-13-0268-8

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