Wavelets and multiscale signal processing:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
London [u.a.]
Chapman & Hall
1995
|
| Edition: | Engl. language ed. |
| Series: | Applied mathematics and mathematical computation
11 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 238 S. Ill., graph. Darst. |
| ISBN: | 0412575906 |
Staff View
MARC
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Record in the Search Index
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Contents
Foreword to the English Edition vii
Introduction 1
1 Multiresolution analysis 7
1.1 Introduction 7
1.2 The continuous point of view 8
1.2.1 Multiresolution analyses and wavelets 8
1.2.2 The scaling function 11
1.2.3 Conjugate quadrature filters 16
1.3 The discrete point of view 20
1.3.1 The FWT algorithm 20
1.3.2 Multiresolution analyses of Z2(Z) 24
1.3.3 Orthonormal wavelet bases for Z2(Z) 27
1.4 The multivariate case 33
1.5 Conclusions 34
2 Wavelets and conjugate quadrature filters 37
2.1 Introduction 37
2.2 The general case 38
2.3 The finite case 46
2.4 Wavelets with compact support 53
2.5 Action of the FWT on oscillating signals 58
3 The regularity of scaling functions and wavelets 63
3.1 Introduction 63
3.2 Regularity and oscillation 64
3.3 The subdivision algorithms 68
3.4 Spectral estimates of the regularity 76
3.4.1 A condition sufficient for regularity 77
3.4.2 The critical exponent of a CQF 79
vi CONTENTS
3.4.3 The decay of (p 80
3.5 Estimation of the Lp Sobolev exponent 84
3.6 Applications 88
3.6.1 Estimating the critical exponent 88
3.6.2 The behavior for large values of N 93
4 Biorthogonal wavelet bases 97
4.1 Introduction 97
4.2 General principles of subband coding 99
4.3 Unconditional biorthogonal wavelet bases 103
4.4 Dual filters and biorthogonal Riesz bases 126
4.5 Examples and applications 144
4.5.1 Burt and Adelson's filters 144
4.5.2 Spline filters 151
5 Stochastic processes 165
5.1 Introduction 165
5.2 Linear approximation 169
5.3 Linear approximation of images 172
5.4 Approximation and compression of real images 174
5.5 Piecewise stationary processes 177
5.6 Non linear approximation 181
A Quasi analytic wavelet bases 199
B Multivariate constructions 207
C Multiscale unconditional bases 215
D Notation 225
References 229
Author index 233
Subject index 235 |
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| discipline | Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | Engl. language ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-09-12T14:00:50Z |
| institution | BVB |
| isbn | 0412575906 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007040487 |
| oclc_num | 35637217 |
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| physical | VI, 238 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Chapman & Hall |
| record_format | marc |
| series | Applied mathematics and mathematical computation |
| series2 | Applied mathematics and mathematical computation |
| spelling | Cohen, Albert Verfasser aut Ondelettes et traitement numérique du signal Wavelets and multiscale signal processing Albert Cohen ; Robert D. Ryan Engl. language ed. London [u.a.] Chapman & Hall 1995 VI, 238 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematics and mathematical computation 11 Ondelettes (mathématiques) ram Traitement du signal - Techniques numériques ram Signal processing Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 s DE-604 Signalanalyse (DE-588)4181260-8 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Ryan, Robert D. Verfasser aut Applied mathematics and mathematical computation 11 (DE-604)BV006188231 11 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007040487&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cohen, Albert Ryan, Robert D. Wavelets and multiscale signal processing Applied mathematics and mathematical computation Ondelettes (mathématiques) ram Traitement du signal - Techniques numériques ram Signal processing Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4270290-2 (DE-588)4128130-5 (DE-588)4181260-8 (DE-588)4215427-3 |
| title | Wavelets and multiscale signal processing |
| title_alt | Ondelettes et traitement numérique du signal |
| title_auth | Wavelets and multiscale signal processing |
| title_exact_search | Wavelets and multiscale signal processing |
| title_full | Wavelets and multiscale signal processing Albert Cohen ; Robert D. Ryan |
| title_fullStr | Wavelets and multiscale signal processing Albert Cohen ; Robert D. Ryan |
| title_full_unstemmed | Wavelets and multiscale signal processing Albert Cohen ; Robert D. Ryan |
| title_short | Wavelets and multiscale signal processing |
| title_sort | wavelets and multiscale signal processing |
| topic | Ondelettes (mathématiques) ram Traitement du signal - Techniques numériques ram Signal processing Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Ondelettes (mathématiques) Traitement du signal - Techniques numériques Signal processing Mehrdimensionale Signalverarbeitung Numerisches Verfahren Signalanalyse Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007040487&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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