Buch, Englisch, 238 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 448 g
Buch, Englisch, 238 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 448 g
Reihe: Forum for Interdisciplinary Mathematics
ISBN: 978-981-13-4375-9
Verlag: Springer Nature Singapore
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Signalverarbeitung
Weitere Infos & Material
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.