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.
Produkteigenschaften
- Artikelnummer: 9789811302671
- Medium: Buch
- ISBN: 978-981-13-0267-1
- Verlag: Springer
- Erscheinungstermin: 05.07.2018
- Sprache(n): Englisch
- Auflage: 1. Auflage 2018
- Serie: Forum for Interdisciplinary Mathematics
- Produktform: Gebunden, HC runder Rücken kaschiert
- Gewicht: 4296 g
- Seiten: 238
- Format (B x H x T): 160 x 241 x 19 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Technische Wissenschaften
- Elektronik | Nachrichtentechnik
- Nachrichten- und Kommunikationstechnik
- Signalverarbeitung
- Mathematik | Informatik
- Mathematik
- Numerik und Wissenschaftliches Rechnen
- Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik
- Mathematik
- Numerik und Wissenschaftliches Rechnen
- Angewandte Mathematik, Mathematische Modelle
