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Wavelet Packets and Their Statistical Applications / by Khalil Ahmad, Abdullah

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Forum for Interdisciplinary Mathematics | SpringerLink BücherPublisher: Singapore : Springer Singapore, 2018Description: Online-Ressource (XVII, 238 p. 70 illus., 36 illus. in color, online resource)ISBN:
  • 9789811302688
Subject(s): Additional physical formats: 9789811302671 | Printed edition: 9789811302671 DDC classification:
  • 515.7
LOC classification:
  • QA319-329.9
DOI: DOI: 10.1007/978-981-13-0268-8Online resources: Summary: 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 denoisingSummary: 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 ProcessingPPN: PPN: 1026855675Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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