| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910300106703321 |
|
|
Autore |
Ahmad Khalil |
|
|
Titolo |
Wavelet Packets and Their Statistical Applications / / by Khalil Ahmad, Abdullah |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 |
|
|
|
|
|
|
|
ISBN |
|
981-13-0268-5 |
978-981-13-0268-8 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed. 2018.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XVII, 238 p. 70 illus., 36 illus. in color.) |
|
|
|
|
|
|
Collana |
|
Forum for Interdisciplinary Mathematics, , 2364-6748 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
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 |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
| |