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



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Autore: Ahmad Khalil Visualizza persona
Titolo: Wavelet Packets and Their Statistical Applications / / by Khalil Ahmad, Abdullah Visualizza cluster
Pubblicazione: Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018
Edizione: 1st ed. 2018.
Descrizione fisica: 1 online resource (XVII, 238 p. 70 illus., 36 illus. in color.)
Disciplina: 515.7
Soggetto topico: Functional analysis
Numerical analysis
Applied mathematics
Engineering mathematics
Statistics 
Signal processing
Image processing
Speech processing systems
Functional Analysis
Numerical Analysis
Applications of Mathematics
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
Signal, Image and Speech Processing
Persona (resp. second.): Abdullah
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Wavelet Packets and Their Statistical Applications  Visualizza cluster
ISBN: 981-13-0268-5
978-981-13-0268-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300106703321
Lo trovi qui: Univ. Federico II
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Serie: Forum for Interdisciplinary Mathematics, . 2364-6748