Wavelets and signal processing: an application-based introduction ; with 7 tables
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 180 S. Ill., graph. Darst. |
| ISBN: | 3540234330 |
Staff View
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Record in the Search Index
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|---|---|
| DE-BY-FWS_call_number | 2000/ZN 6025 S795 |
| DE-BY-FWS_katkey | 242253 |
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| adam_text |
HANS-GEORG STARK
WAVELET
S AN
D SIGNAL
PROCESSING
AN APPLICATION-BASED INTRODUCTION
WITH 67 FIGURES AND 7 TABLES
4Y SPRINGER
CONTENTS
1 INTRODUCTIO
N
1
1.1 SIGNALS AND SIGNAL PROCESSING 1
1.2 LOCAL ANALYSIS 2
1.2.1 TRANSFORMS 2
1.2.2 FOURIER TRANSFORM 3
1.2.3 SHORT TIME FOURIER TRANSFORM (STFT) 4
1.2.4 WAVELET TRANSFORM 4
1.2.5 VISUALIZATION 7
1.2.6 FOURIER VS. WAVELET TRANSFORM - A COMPARISON
EXPERIMENT 9
1.3 A ROADMAP FOR TH
E BOOK 11
2 CONTINUOU
S ANALYSI
S
13
2.1 THE SHORT TIME FOURIER TRANSFORM (STFT) 14
2.1.1 DEFINITION, COMPUTATION AND RECONSTRUCTION 14
2.1.2 PHASE SPACE AND LOCALIZATION PARAMETER
S 18
2.1.3 IMPLEMENTATION WITH MATLAB AND VISUALIZATION 19
2.2 THE CONTINUOUS WAVELET TRANSFORM (CWT) 21
2.2.1 DEFINITION, COMPUTATION AND RECONSTRUCTION 21
2.2.2 WAVELET EXAMPLES 26
2.2.3 IMPLEMENTATION WITH MATLAB AND VISUALIZATION 29
2.2.4 APPLICATION: DETECTION OF SIGNAL CHANGES 32
2.3 CASE STUDIES 33
2.3.1 ANALYSIS OF SENSOR SIGNALS 33
2.3.2 ANALYSIS AND CLASSIFICATION OF AUDIO SIGNALS 36
2.4 NOTES AND EXERCISES 40
3 TH
E DISCRET
E WAVELE
T TRANSFORM
43
3.1 REDUNDANCY OF TH
E CWT AND TH
E STFT 43
3.2 THE HAAR-SYSTEM 45
3.2.1 CONTINUOUS-TIME FUNCTIONS 46
X CONTENTS
3.2.2 SEQUENCES 49
3.3 GENERALIZATION T
O DAUBECHIES-WAVELETS 53
3.3.1 FROM FILTERS TO FUNCTIONS 56
3.3.2 TRANSFER PROPERTIES 59
3.4 MULTISCALE ANALYSIS 60
3.4.1 ONE-DIMENSIONAL SIGNALS 61
3.4.2 TWO-DIMENSIONAL SIGNALS (IMAGES) 65
3.4.3 IMPLEMENTATIONS WITH THE MATLAB WAVELET TOOLBOX. 69
3.4.4 GENERALIZATION: BIORTHOGONAL FILTERS 73
3.5 A UNIFYING VIEWPOINT: BASIS SYSTEMS 75
3.5.1 ONE-DIMENSIONAL SIGNALS 76
3.5.2 TWO-DIMENSIONAL SIGNALS 79
3.5.3 COMPUTATION AND VISUALIZATION WITH MATLAB 81
3.6 CASE STUDIES 81
3.6.1 ENERGY COMPACTION AND COMPRESSION 81
3.6.2 DENOISING A SENSOR SIGNAL / REAL-TIME PROPERTIES OF
THE ALGORITHM 88
3.7 NOTES AND EXERCISES
91
4 MORE APPLICATION
S
95
4.1 THE TRANSFORM COMPRESSION SCHEME 95
4.1.1 THE GENERAL PROCEDURE 97
4.1.2 ENTROPY CODERS 99
4.1.3 OPTIMAL QUANTIZATION AND EXAMPLES 108
4.1.4 MATLAB IMPLEMENTATION 113
4.2 WAVELET-BASED SIMILARITY RETRIEVAL IN IMAGE ARCHIVES 116
4.3 NOTES AND EXERCISES 123
5 APPENDI
X
125
5.1 FOURIER TRANSFORM AND UNCERTAINTY RELATION 125
5.2 DISCRETE FOURIER TRANSFORM (DFT) 128
5.3 DIGITAL FILTERS 130
5.4 SOLUTIONS TO SELECTED PROBLEMS 134
5.4.1 PROBLEMS FROM SECT. 2.4 134
5.4.2 PROBLEMS FROM SECT. 3.7 138
5.4.3 PROBLEMS FROM SECT. 4.3 142
5.5 NOTATIONS AND SYMBOLS 146
REFERENCE
S
147
INDE
X
149 |
| any_adam_object | 1 |
| author | Stark, Hans-Georg |
| author_facet | Stark, Hans-Georg |
| author_role | aut |
| author_sort | Stark, Hans-Georg |
| author_variant | h g s hgs |
| building | Verbundindex |
| bvnumber | BV019763684 |
| classification_rvk | SK 450 ZN 6025 |
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| ctrlnum | (OCoLC)633527384 (DE-599)BVBBV019763684 |
| discipline | Informatik Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV019763684 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T07:12:58Z |
| institution | BVB |
| isbn | 3540234330 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013089983 |
| oclc_num | 633527384 |
| open_access_boolean | |
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| owner_facet | DE-92 DE-1043 DE-91G DE-BY-TUM DE-898 DE-BY-UBR DE-29T DE-634 DE-862 DE-BY-FWS |
| physical | X, 180 S. Ill., graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Stark, Hans-Georg Wavelets and signal processing an application-based introduction ; with 7 tables Signalverarbeitung (DE-588)4054947-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4181260-8 (DE-588)4215427-3 |
| title | Wavelets and signal processing an application-based introduction ; with 7 tables |
| title_auth | Wavelets and signal processing an application-based introduction ; with 7 tables |
| title_exact_search | Wavelets and signal processing an application-based introduction ; with 7 tables |
| title_full | Wavelets and signal processing an application-based introduction ; with 7 tables Hans-Georg Stark |
| title_fullStr | Wavelets and signal processing an application-based introduction ; with 7 tables Hans-Georg Stark |
| title_full_unstemmed | Wavelets and signal processing an application-based introduction ; with 7 tables Hans-Georg Stark |
| title_short | Wavelets and signal processing |
| title_sort | wavelets and signal processing an application based introduction with 7 tables |
| title_sub | an application-based introduction ; with 7 tables |
| topic | Signalverarbeitung (DE-588)4054947-1 gnd Signalanalyse (DE-588)4181260-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Signalverarbeitung Signalanalyse Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013089983&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 ZN 6025 S795 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |