Wavelet Packets and Their Statistical Applications

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 wa...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ahmad, Khalil (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Abdullah (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Forum for Interdisciplinary Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Ahmad, Khalil.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Wavelet Packets and Their Statistical Applications  |h [electronic resource] /  |c by Khalil Ahmad, Abdullah. 
250 |a 1st ed. 2018. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2018. 
300 |a XVII, 238 p. 70 illus., 36 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
505 0 |a 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. 
520 |a 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. 
650 0 |a Functional analysis. 
650 0 |a Numerical analysis. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Statistics . 
650 0 |a Signal processing. 
650 0 |a Image processing. 
650 0 |a Speech processing systems. 
650 1 4 |a Functional Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12066 
650 2 4 |a Numerical Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M14050 
650 2 4 |a Applications of Mathematics.  |0 http://scigraph.springernature.com/things/product-market-codes/M13003 
650 2 4 |a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.  |0 http://scigraph.springernature.com/things/product-market-codes/S17020 
650 2 4 |a Signal, Image and Speech Processing.  |0 http://scigraph.springernature.com/things/product-market-codes/T24051 
700 1 |a Abdullah.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9789811302671 
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776 0 8 |i Printed edition:  |z 9789811343759 
830 0 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
856 4 0 |u https://doi.org/10.1007/978-981-13-0268-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)