Mathematical principles of signal processing: Fourier and wavelet analysis
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XII, 269 S. graph. Darst. |
| ISBN: | 0387953388 |
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Record in the Search Index
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|---|---|
| adam_text |
PIERRE BREMAUD MATHEMATICAL PRINCIPLES OF SIGNAL PROCESSING FOURIER AND
WAVELET ANALYSIS SPRINGER CONTENTS PREFACE XI A FOURIER ANALYSIS IN L 1
1 INTRODUCTION 3 AL FOURIER TRANSFORMS OF STABLE SIGNALS 7 ALL FOURIER
TRANSFORM IN L 1 7 AL-2 INVERSION FORMULA 16 A2 FOURIER SERIES OF
LOCALLY STABLE PERIODIC SIGNALS 23 A2-1 FOURIER SERIES IN H\ OC 23 A2-2
INVERSION FORMULA 26 A3 POINTWISE CONVERGENCE OF FOURIER SERIES 31 A31
DINI'S AND JORDAN'S THEOREMS 31 ,A3-2 FEJER'S THEOREM 39 A3-3 THE
POISSON FORMULA 43 REFERENCES 46 B SIGNAL PROCESSING 49 INTRODUCTION 51
BL FILTERING 55 BLL IMPULSE RESPONSE AND FREQUENCY RESPONSE 55 BL-2
BAND-PASS SIGNALS 68 VIII CONTENTS B2 SAMPLING 75 B2-1 RECONSTRUCTION
AND ALIASING 75 B2-2 ANOTHER APPROACH TO SAMPLING 82 B2-3 INTERSYMBOL
INTERFERENCE 84 B2-4 THE DIRAC FORMALISM 88 B3 DIGITAL SIGNAL PROCESSING
95 B31 THE DFT AND THE FFT ALGORITHM 95 B3-2 THE Z-TRANSFORM 100 B3-3
ALL-PASS AND SPECTRAL FACTORIZATION 109 B4 SUBBAND CODING 115 B41 BAND
SPLITTING WITH PERFECT RECONSTRUCTION 115 B4-2 FIR SUBBAND FILTERS 120
REFERENCES . . . 126 C FOURIER ANALYSIS IN L 2 127 INTRODUCTION 129 CL
HILBERT SPACES 133 CM BASIC DEFINITIONS 133 CL-2 CONTINUITY PROPERTIES
136 CL-3 PROJECTION THEOREM 139 C2 COMPLETE ORTHONORMAL SYSTEMS 145 C21
ORTHONORMAL EXPANSIONS 145 C2-2 TWO IMPORTANT HILBERT BASES 150 C3
FOURIER TRANSFORMS OF FINITE-ENERGY SIGNALS 155 C3-1 FOURIER TRANSFORM
IN L 2 155 C3-2 INVERSION FORMULA IN L 2 159 C4 FOURIER SERIES OF
FINITE-POWER PERIODIC SIGNALS 161 C41 FOURIER SERIES IN L 20C 161 C4-2
ORTHONORMAL SYSTEMS OF SHIFTED FUNCTIONS 163 REFERENCES 166 D WAVELET
ANALYSIS 167 INTRODUCTION 169 DL THE WINDOWED FOURIER TRANSFORM 175 DM
THE UNCERTAINTY PRINCIPLE 175 DL-2 THE WFT AND GABOR'S INVERSION FORMULA
178 D2 THE WAVELET TRANSFORM 185 D21 TIME-FREQUENCY RESOLUTION OF
WAVELET TRANSFORMS 185 D2-2 THE WAVELET INVERSION FORMULA 187 CONTENTS
IX D3 WAVELET ORTHONORMAL EXPANSIONS 195 D31 MOTHER WAVELET 195 D3-2
MOTHER WAVELET IN THE FOURIER DOMAIN 202 D3-3 MALLAT'S ALGORITHM 211 D4
CONSTRUCTION OF AN MRA 217 D41 MRA FROM AN ORTHONORMAL SYSTEM 217 D4-2
MRA FROM A RIESZ BASIS 220 D4-3 SPLINE WAVELETS 223 D5 SMOOTH
MULTIRESOLUTION ANALYSIS 229 D5 1 AUTOREPRODUCING PROPERTY OF THE
RESOLUTION SPACES 229 D5-2 POINTWISE CONVERGENCE THEOREM 231 D5-3
REGULARITY PROPERTIES OF WAVELET BASES 234 REFERENCES 237 APPENDIX 239
THE LEBESGUE INTEGRAL 241 REFERENCES 261 GLOSSARY OF SYMBOLS 263 INDEX
267 |
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| dewey-sort | 3621.38220151 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| illustrated | Illustrated |
| indexdate | 2024-08-15T00:17:26Z |
| institution | BVB |
| isbn | 0387953388 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009916608 |
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| owner_facet | DE-573 DE-634 DE-83 |
| physical | XII, 269 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| spelling | Brémaud, Pierre Verfasser aut Mathematical principles of signal processing Fourier and wavelet analysis Pierre Brémaud New York [u.a.] Springer 2002 XII, 269 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Signalanalyse - Fourier-Transformation - Wavelet-Analyse Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Signalanalyse (DE-588)4181260-8 s Fourier-Transformation (DE-588)4018014-1 s Wavelet (DE-588)4215427-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009916608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brémaud, Pierre Mathematical principles of signal processing Fourier and wavelet analysis Signalanalyse - Fourier-Transformation - Wavelet-Analyse Fourier-Transformation (DE-588)4018014-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4018014-1 (DE-588)4181260-8 (DE-588)4215427-3 |
| title | Mathematical principles of signal processing Fourier and wavelet analysis |
| title_auth | Mathematical principles of signal processing Fourier and wavelet analysis |
| title_exact_search | Mathematical principles of signal processing Fourier and wavelet analysis |
| title_full | Mathematical principles of signal processing Fourier and wavelet analysis Pierre Brémaud |
| title_fullStr | Mathematical principles of signal processing Fourier and wavelet analysis Pierre Brémaud |
| title_full_unstemmed | Mathematical principles of signal processing Fourier and wavelet analysis Pierre Brémaud |
| title_short | Mathematical principles of signal processing |
| title_sort | mathematical principles of signal processing fourier and wavelet analysis |
| title_sub | Fourier and wavelet analysis |
| topic | Signalanalyse - Fourier-Transformation - Wavelet-Analyse Fourier-Transformation (DE-588)4018014-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Signalanalyse - Fourier-Transformation - Wavelet-Analyse Fourier-Transformation Signalanalyse Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009916608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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