Signals and Systems: Fundamentals
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2015
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XV, 267 S. Ill., graph. Darst. 240 mm x 170 mm |
| ISBN: | 3110378116 9783110378115 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text |
CONTENTS
PREFACE XI
1 INTRODUCTION 1
1.1 OVERVIEW OF SIGNALS AND SYSTEMS 1
1.1.1 WHAT IS A SIGNAL? 1
1.1.2 WHAT IS A SYSTEM? 2
1.2 DESCRIPTION AND CLASSIFICATION OF SIGNALS 6
1.2.1 CONTINUOUS-TIME SIGNALS AND DISCRETE-TIME SIGNALS
1.2.2 ENERGY SIGNALS AND POWER SIGNALS 10
1.2.3 PERIODIC SIGNALS AND NONPERIODIC SIGNALS 13
1.2.4 DETERMINISTIC SIGNALS AND RANDOM SIGNALS 16
1.2.5 ELEMENTARY SIGNALS 16
1.3 DESCRIPTION OF SYSTEMS 24
1.3.1 ELEMENTARY SYSTEMS 24
1.3.2 SYSTEM MODELLING 28
1.4 PROPERTIES OF SYSTEMS 31
1.4.1 MEMORYLESS AND WITH MEMORY 32
1.4.2 CAUSALITY 32
1.4.3 INVERTIBILITY 33
1.4.4 STABILITY 34
1.4.5 TIME-INVARIANCE 36
1.4.6 LINEARITY 37
1.5 SUMMARY 40
1.6 PROBLEMS 40
2 TIME-DOMAIN ANALYSIS OF LTI SYSTEMS 46
2.1 INTRODUCTION 46
2.2 THE UNIT IMPULSE RESPONSE AND CONVOLUTIONS 4
2.2.1 THE CONVOLUTION SUM 47
2.2.2 THE CONVOLUTION INTEGRAL 52
2.3 PROPERTIES OF CONVOLUTIONS AND EQUIVALENT SYSTEMS
2.4 CAUSALITY AND STABILITY OF LTI SYSTEMS 60
2.5 SYSTEMS CONSTRAINED WITH LCCDES 63
2.5.1 CONTINUOUS-TIME SYSTEMS CONSTRAINED WITH LCCDES
2.5.2 DISCRETE-TIME SYSTEMS CHARACTERIZED BY LCCDES *
2.6 SUMMARY 69
2.7 PROBLEMS 69
HTTP://D-NB.INFO/1052322530
VLII
CONTENTS
3 FOURIER ANALYSIS OF SIGNALS 73
3.1 INTRODUCTION 73
3.2 FOURIER SERIES FOR CONTINUOUS-TIME PERIODIC SIGNALS 74
3.3 FOURIER SERIES FOR DISCRETE-TIME PERIODIC SIGNALS 85
3.4 WHY SHOULD A SIGNAL BE TRANSFORMED? 89
3.5 FOURIER TRANSFORM FOR CONTINUOUS-TIME SIGNALS 92
3.5.1 PROPERTIES OF FOURIER TRANSFORM 97
3.5.2 INVERSE FOURIER TRANSFORM 106
3.6 THE DISCRETE-TIME FOURIER TRANSFORM 107
3.6.1 PROPERTIES OF DTFT 112
3.6.2 INVERSE DTFT 114
3.7 FOURIER SERIES AND FOURIER TRANSFORMS 117
3.8 SUMMARY 121
3.9 PROBLEMS 122
4 FREQUENCY-DOMAIN APPROACH TO LTI SYSTEMS 128
4.1 INTRODUCTION 128
4.2 FREQUENCY RESPONSE OF LTI SYSTEMS 128
4.3 BODE PLOTS FOR CONTINUOUS-TIME LTI SYSTEMS 135
4.4 FREQUENCY RESPONSE OF LTIS DESCRIBED WITH LCCDES 139
4.5 FREQUENCY DOMAIN APPROACH TO SYSTEM OUTPUTS 143
4.6 SOME TYPICAL LTI SYSTEMS 146
4.6.1 ALL-PASS SYSTEMS 147
4.6.2 LINEAR PHASE RESPONSE SYSTEMS 148
4.6.3 IDEAL FILTERS 149
4.6.4 IDEAL TRANSMISSION CHANNELS 154
4.7 SUMMARY 155
4.8 PROBLEMS 155
5 DISCRETE PROCESSING
OF ANALOG
SIGNALS 159
5.1 INTRODUCTION 159
5.2 SAMPLING OF A CONTINUOUS-TIME SIGNAL 160
5.3 SPECTRAL RELATIONSHIP AND SAMPLING THEOREM 160
5.4 RECONSTRUCTION OF CONTINUOUS-TIME SIGNALS 165
5.5 HYBRID SYSTEMS FOR DISCRETE PROCESSING 170
5.6 DISCRETE FOURIER TRANSFORM 171
5.7 COMPRESSED SENSING 175
5.8 SUMMARY 177
5.9 PROBLEMS 178
CONTENTS
* IX
6 TRANSFORM-DOMAIN APPROACHES 180
6.1 MOTIVATION 180
6.2 THE LAPLACE TRANSFORM 180
6.2.1 DERIVATION OF THE TRANSFORM 181
6.2.2 REGION OF CONVERGENCE 182
6.2.3 INVERSE LAPLACE TRANSFORM 188
6.2.4 PROPERTIES OF LAPLACE TRANSFORM 190
6.3 THE Z-TRANSFORM 192
6.3.1 REGION OF CONVERGENCE 193
6.3.2 PROPERTIES OF THEZ-TRANSFORM 197
6.3.3 I N VE RSE Z-TRA
N SFO
RM 198
6.4 TRANSFORM-DOMAIN APPROACH TO LTI SYSTEMS 200
6.4.1 TRANSFER FUNCTION OF LTI SYSTEMS 200
6.4.2 INVERSE SYSTEMS OF LTIS AND DECONVOLUTIONS 203
6.4.3 REVISIT OF LTI SYSTEM'S STABILITY AND CAUSALITY 204
6.4.4 TRANSFER FUNCTION OF LTI SYSTEMS BY LCCDES 208
6.5 TRANSFORM DOMAIN APPROACH TO LCCDES 210
6.6 DECOMPOSITION OF LTI SYSTEM RESPONSES 213
6.7 UNILATERAL TRANSFORMS 216
6.7.1 UNILATERAL LAPLACE TRANSFORM 216
6.7.2 UNILATERAL Z-TRANSFORM 219
6.8 SUMMARY 220
6.9 PROBLEMS 221
7 STRUCTURES AND STATE-SPACE REALIZATIONS 226
7.1 BLOCK-DIAGRAM REPRESENTATION 226
7.2 STRUCTURES OF LTIS WITH A RATIONAL TRANSFER FUNCTION 228
7.3 STATE-SPACE VARIABLE REPRESENTATION 234
7.3.1 STATE MODEL AND STATE-SPACE REALIZATIONS 234
7.3.2 CONSTRUCTION OF AN EQUIVALENT STATE-SPACE REALIZATION 235
7.3.3 SIMILARITY TRANSFORMATIONS 237
7.4 DISCRETIZING A CONTINUOUS-TIME STATE MODEL 239
7.5 SUMMARY 242
7.6 PROBLEMS 242
8 COMPREHENSIVE PROBLEMS 247
8.1 MOTIVATION 247
8.2 PROBLEMS 247
APPENDICES 253
A. PROOF OF THE CONDITION OF INITIAL REST (1.49)
B. PROOF OF THEOREM 2.5 253
253
X CONTENTS
C. ORTHOGONALITY PRINCIPLE 255
D. RESIDUE THEOREM AND INVERSE TRANSFORMS 256
E. PARTIAL-FRACTION EXPANSION 260
BIBLIOGRAPHY 263
INDEX 265 |
| any_adam_object | 1 |
| author | Li, Gang Chang, Liping Li, Sheng |
| author_facet | Li, Gang Chang, Liping Li, Sheng |
| author_role | aut aut aut |
| author_sort | Li, Gang |
| author_variant | g l gl l c lc s l sl |
| building | Verbundindex |
| bvnumber | BV042284134 |
| classification_rvk | ZN 6025 |
| ctrlnum | (OCoLC)929058858 (DE-599)DNB1052322530 |
| dewey-full | 621.3822 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3822 |
| dewey-search | 621.3822 |
| dewey-sort | 3621.3822 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV042284134 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T02:05:12Z |
| institution | BVB |
| isbn | 3110378116 9783110378115 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027721449 |
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| owner_facet | DE-706 DE-92 DE-1050 DE-573 DE-M347 |
| physical | XV, 267 S. Ill., graph. Darst. 240 mm x 170 mm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | De Gruyter |
| record_format | marc |
| spelling | Li, Gang Verfasser aut Signals and Systems Fundamentals Gang Li ; Liping Chang ; Sheng Li Berlin [u.a.] De Gruyter 2015 XV, 267 S. Ill., graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Zeitbereich (DE-588)4130720-3 gnd rswk-swf Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Frequenzbereich (DE-588)4155398-6 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Systemanalyse (DE-588)4116673-5 s Lineares zeitinvariantes System (DE-588)4213494-8 s Zeitbereich (DE-588)4130720-3 s Frequenzbereich (DE-588)4155398-6 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Chang, Liping Verfasser aut Li, Sheng Verfasser aut Erscheint auch als Online-Ausgabe, EPUB 978-3-11-041684-8 Erscheint auch als Online-Ausgabe, PDF 978-3-11-037954-9 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4691921&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Li, Gang Chang, Liping Li, Sheng Signals and Systems Fundamentals Signalverarbeitung (DE-588)4054947-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Zeitbereich (DE-588)4130720-3 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Systemanalyse (DE-588)4116673-5 gnd Frequenzbereich (DE-588)4155398-6 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4023453-8 (DE-588)4130720-3 (DE-588)4213494-8 (DE-588)4116673-5 (DE-588)4155398-6 |
| title | Signals and Systems Fundamentals |
| title_auth | Signals and Systems Fundamentals |
| title_exact_search | Signals and Systems Fundamentals |
| title_full | Signals and Systems Fundamentals Gang Li ; Liping Chang ; Sheng Li |
| title_fullStr | Signals and Systems Fundamentals Gang Li ; Liping Chang ; Sheng Li |
| title_full_unstemmed | Signals and Systems Fundamentals Gang Li ; Liping Chang ; Sheng Li |
| title_short | Signals and Systems |
| title_sort | signals and systems fundamentals |
| title_sub | Fundamentals |
| topic | Signalverarbeitung (DE-588)4054947-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Zeitbereich (DE-588)4130720-3 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Systemanalyse (DE-588)4116673-5 gnd Frequenzbereich (DE-588)4155398-6 gnd |
| topic_facet | Signalverarbeitung Harmonische Analyse Zeitbereich Lineares zeitinvariantes System Systemanalyse Frequenzbereich |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4691921&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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