Discrete-time systems: an introduction with interdisciplinary applications
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1973
|
| Schriftenreihe: | Prentice-Hall computer applications in electrical engineering series.
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001268769&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIX, 440 S. graph. Darst. |
| ISBN: | 0132159961 |
Internformat
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| 100 | 1 | |a Cadzow, James A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Discrete-time systems |b an introduction with interdisciplinary applications |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1973 | |
| 300 | |a XIX, 440 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Prentice-Hall computer applications in electrical engineering series. | |
| 650 | 4 | |a Systèmes échantillonnés | |
| 650 | 4 | |a Équations aux différences | |
| 650 | 4 | |a Difference equations | |
| 650 | 4 | |a Discrete-time systems | |
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Datensatz im Suchindex
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| DE-BY-TUM_media_number | 040005371653 040010633117 TEMP2870815 |
| _version_ | 1821932271151611904 |
| adam_text | Contents
Chapter 1 Discrete Time, Signals, and Systems
1 1 Introduction, 1
1 2 Discrete Signals, 5
1 3 Process of Sampling a Function of Continuous Time, 12
1 4 Discrete-Time Systems, 15
1 5 First-Order Linear Discrete System, 20
1 6 Unit Step Response of a First-Order System, 23
1 7 Useful Identities for Closed-Form Expressions, 26
1 8 General Linear Discrete System, 28
1 9 Nonlinear Discrete Systems, 29
1 10 Time-Varying Systems, 30
1 11 Basic Units of Linear Discrete Systems, 31
1 12 Conclusion, 37
Problems, 38
Chapter 2 Applications of Linear Discrete Systems from
Various Disciplines
2 1 Introduction, 46
2 2 Numerical Integration —A Review, 47
2 3 Numerical Differentiation, 52
2 4 Amortization, 59
2 5 Model of Rabbit Population, 61
2 6 Radar Tracking, 63
viii Contents
2 7 Model for National Income, 66
2 8 Model of Inventory, 69
2 9 Model of Population Growth, 70
2 10 Digitally Controlled Systems, 72
2 11 Chemical Reactor System, 73
2 12 Deflection of Weighted String, 76
2 13 Processing of Electrocardiograms, 79
2 14 Conclusion, 80
Problems, 81
Chapter 3 Convolution-Summation Representation
3 1 Introduction, 85
3 2 Convolution-Summation Representation, 86
3 3 Convolution-Summation Representation
of a General Linear Discrete System, 92
3 4 Procedure for Evaluating the Convolution Summation, 93
3 5 Graphical Interpretation of Convolution Summation, 96
3 6 Determination of Weighting Sequence from the
System Kronecker Delta Response, 100
3 7 System Memory, 102
3 8 System Stability, 106
3 9 Anticipatory Systems, 107
3 10 Weighting Sequence of a Linear Time-Varying System, 109
3 11 Conclusion, 109
Problems, 110
Chapter 4 Properties of Linear Discrete Systems
4 1 Introduction, 115
4 2 Principle of Superposition, 115
4 3 Time-Invariant Property, 121
4 4 Response to Special Test Inputs, 123
4 5 Preliminaries of Low-Pass and High-Pass Digital Filters, 127
4 6 Interconnection of Linear Discrete Systems, 131
4 7 Inverse Systems, 136
4 8 Conclusion, 138
Problems, 139
Chapter 5 The z-Transform
5 1 Introduction, 144
5 2 Geometric Sequence, 146
5 3 Poles and Zeros of a z-Transform, 150
5 4 Sinusoidal Sequence, 153
5 5 Regions of Convergence and Divergence, 156
5 6 Determination of z-Transform Pairs, 157
5 7 Important Properties of the z-Transform, 160
5 8 Some Other Properties of the z-Transform, 167
5 9 Conclusion, 174
Problems, 175
Contents ix
Appendix 5A Comp/ex Numbers
Problems, 193
Appendix 5B Power Series
Problems, 203
Chapter 6 The inverse z-Transform 204
6 1 Introduction, 204
6 2 Partial-Fraction Expansion Method, 204
6 3 Generalization of the Partial-Fraction Expansion Method, 208
6 4 Efficient Procedure for Evaluating the Coefficients
in a Partial Fraction Expansion, 213
6 5 Direct-Division Method, 217
6 6 Conclusion, 217
Problems, 218
Chapter 7 System Transfer Function 220
7 1 Introduction, 220
7 2 Transfer Function, 221
7 3 Relationship between the System Weighting Sequence
and the System Transfer Function, 225
7 4 Equivalent Representations, 227
7 5 Transfer Function and Nonzero Initial Conditions, 227
7 6 Equivalent Transfer Function of Cascaded Systems, 229
7 7 Inverse System, 231
7 8 Transfer Function of Feedback Systems, 233
7 9 Numerical Solution of Linear Differential Equations, 236
7 10 Conclusion, 244
8 1 Introduction, 248
8 2 Zeros and Poles of the System Transfer Function, 249
8 3 Decomposition of Response Signal into Input Signal Mode
and System Mode, 250
8 4 Transmission Characteristics of a Transfer Function, 252
8 5 Steady-State and Transient Response, 255
8 6 Stability of Linear Systems, 256
8 7 Transfer Function’s Poles and Transient Response, 258
8 8 Dominant Poles, 261
8 9 Unit Step Response of a Second-Order System, 263
8 10 Unit Step Response of a General Linear Discrete System, 268
8 11 Analysis of Ot — ß Tracker, 272
8 12 Conclusion, 279
Problems, 279
Problems, 244
Chapter 8 System Response and
the Transfer Function
x Contents
Chapter 9 Digital Filters
9 1 Introduction, 283
9 2 Characterization of Signals to Be Data Processed, 284
9 3 Steady-State Sinusoidal Response of Linear Systems, 295
9 4 Low-Pass Digital Filters, 299
9 5 High-Pass Digital Filters, 308
9 6 Bandpass Digital Filters, 310
9 7 Spectrum Analysis, 316
9 8 Conclusion, 319
Problems, 319
Chapter 10 Design of Digital Filters by Means of the
Transfer Function s Pole and Zero Locations
10 1 Introduction, 323
10 2 Determination of Sinusoidal Response Using a
Geometrical Procedure, 323
10 3 Band-Reject and Notch Filters, 333
10 4 Butterworth Low-Pass Filter, 336
10 5 Design of High-Pass and Bandpass Filters Using
Low-Pass Filter Design Methods, 341
10 6 Transversal Filters, 344
10 7 Conclusion, 346
Problems, 347
Chapter 11 State-Space Representation
11 1 Introduction, 349
11 2 Basic Concepts of Vectors and Matrices — A Review, 350
11 3 Concept of State, 355
11 4 Natural State Variables, 359
11 5 State-Space Representation; Parallel Programming Method, 364
11 6 State-Space Representation; Iterative Programming Method, 371
11 7 State-Space Representation; Direct — Programming Method, 374
11 8 Conclusion, 379
Problems, 379
Chapter 12 Response of Linear Systems and
State-Space Representations
12 1 Introduction, 382
12 2 Basic Matrix Operations—A Review, 383
12 3 Response of a Linear System, 389
12 4 Determination of Weighting Sequence from State-Space
Representation, 395
12 5 Determination of the Fundamental Matrix, 396
12 6 Determination of Transfer Function from State-Space
Representation, 401
12 7 Conclusion, 403
Problems, 403
Contents xi
Appendix A Programming Problems 407
Appendix B Useful Tables 412
B-l z-Transform Pairs, 413
B-2 Sample z-Transform Pairs, 415
B-3 Properties of the z-Transform, 416
B-4 z-Transform Pairs Used in Partial-Fraction
Expansion Inversion Method, 417
B-5 Useful Finite Summation Identities, 418
B-6 Useful Infinite Summation Identities, 419
B-7 Summations Used in Mean Square Analysis, 420
Appendix C Answers to Selected Problems 422
Index 433
|
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| dewey-tens | 000 - Computer science, information, general works 510 - Mathematics |
| discipline | Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik Wirtschaftswissenschaften |
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| id | DE-604.BV001946411 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T07:43:40Z |
| institution | BVB |
| isbn | 0132159961 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001268769 |
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| physical | XIX, 440 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1973 |
| publishDateSearch | 1973 |
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| publisher | Prentice-Hall |
| record_format | marc |
| series2 | Prentice-Hall computer applications in electrical engineering series. |
| spellingShingle | Cadzow, James A. Discrete-time systems an introduction with interdisciplinary applications Systèmes échantillonnés Équations aux différences Difference equations Discrete-time systems Zeitdiskretes System (DE-588)4127297-3 gnd |
| subject_GND | (DE-588)4127297-3 |
| title | Discrete-time systems an introduction with interdisciplinary applications |
| title_auth | Discrete-time systems an introduction with interdisciplinary applications |
| title_exact_search | Discrete-time systems an introduction with interdisciplinary applications |
| title_full | Discrete-time systems an introduction with interdisciplinary applications |
| title_fullStr | Discrete-time systems an introduction with interdisciplinary applications |
| title_full_unstemmed | Discrete-time systems an introduction with interdisciplinary applications |
| title_short | Discrete-time systems |
| title_sort | discrete time systems an introduction with interdisciplinary applications |
| title_sub | an introduction with interdisciplinary applications |
| topic | Systèmes échantillonnés Équations aux différences Difference equations Discrete-time systems Zeitdiskretes System (DE-588)4127297-3 gnd |
| topic_facet | Systèmes échantillonnés Équations aux différences Difference equations Discrete-time systems Zeitdiskretes System Zeitsysteme |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001268769&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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