Signals and systems with MATLAB:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 474 S. Ill., graph. Darst. |
| ISBN: | 9783540929536 |
Internformat
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| 245 | 1 | 0 | |a Signals and systems with MATLAB |c Won Y. Yang ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a XV, 474 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Signalverarbeitung - Systemanalyse - Fourier-Transformation - Z-Transformation | |
| 650 | 4 | |a Signalverarbeitung - Systemanalyse - MATLAB | |
| 650 | 4 | |a Signalverarbeitung - Systemanalyse - SIMULINK | |
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Datensatz im Suchindex
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| adam_text | CONTENTS
1 SIGNALS AND SYSTEMS
.
1.1 SIGNALS
1
2
1.1.1 VARIOUS TYPES OF SIGNAL 2
1.1.2 CONTINUOUS/DISCRETE-TIME SIGNALS 2
1.1.3 ANALOG FREQUENCY AND DIGITAL FREQUENCY 6
1.1.4 PROPERTIES OF THE UNIT IMPULSE FUNCTION
AND UNIT SAMPLE SEQUENCE 8
1.1.5 SEVERAL MODELS FOR THE UNIT IMPULSE FUNCTION 11
1.2 SYSTEMS 12
1.2.1 LINEAR SYSTEM AND SUPERPOSITION PRINCIPLE 13
1.2.2 TIME/SHIFT-INVARIANT SYSTEM 14
1.2.3 INPUT-OUTPUT RELATIONSHIP OF LINEAR
TIME-INVARIANT (LTI) SYSTEM 15
.2.4 IMPULSE RESPONSE AND SYSTEM (TRANSFER) FUNCTION 17
.2.5 STEP RESPONSE, PULSE RESPONSE, AND IMPULSE RESPONSE ...
. 18
.2.6 SINUSOIDAL STEADY-STATE RESPONSE
AND FREQUENCY RESPONSE 19
.2.7 CONTINUOUS/DISCRETE-TIME CONVOLUTION 22
.2.8 BOUNDED-INPUT BOUNDED-OUTPUT (BIBO) STABILITY 29
.2.9 CAUSALITY 30
.2.10 INVERTIBILITY 30
1.3 SYSTEMS DESCRIBED BY DIFFERENTIAL/DIFFERENCE EQUATIONS 31
.3.1 DIFFERENTIAL/DIFFERENCE EQUATION AND SYSTEM FUNCTION 31
.3.2 BLOCK DIAGRAMS AND SIGNAL FLOW GRAPHS 32
.3.3 GENERAL GAIN FORMULA - MASON S FORMULA 34
.3.4 STATE DIAGRAMS 35
1.4 DECONVOLUTION AND CORRELATION 38
.4.1 DISCRETE-TIME DECONVOLUTION 38
.4.2 CONTINUOUS/DISCRETE-TIME CORRELATION 39
1.5 SUMMARY 45
PROBLEMS 45
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/991529510
DIGITALISIERT DURCH
CONTENTS
CONTINUOUS-TIME FOURIER ANALYSIS
61
2.1 CONTINUOUS-TIME FOURIER SERIES (CTFS) OF PERIODIC SIGNALS 62
2.1.1 DEFINITION AND CONVERGENCE CONDITIONS
OF CTFS REPRESENTATION 62
2.1.2 EXAMPLES OF CTFS REPRESENTATION 65
2.1.3 PHYSICAL MEANING OF CTFS COEFFICIENTS - SPECTRUM 70
2.2 CONTINUOUS-TIME FOURIER TRANSFORM OF APERIODIC SIGNALS 73
2.3 (GENERALIZED) FOURIER TRANSFORM OF PERIODIC SIGNALS 77
2.4 EXAMPLES OF THE CONTINUOUS-TIME FOURIER TRANSFORM 78
2.5 PROPERTIES OF THE CONTINUOUS-TIME FOURIER TRANSFORM 86
2.5.1 LINEARITY 86
2.5.2 (CONJUGATE) SYMMETRY 86
2.5.3 TIME/FREQUENCY SHIFTING (REAL/COMPLEX TRANSLATION) 88
2.5.4 DUALITY 88
2.5.5 REAL CONVOLUTION 89
2.5.6 COMPLEX CONVOLUTION (MODULATION/WINDOWING) 90
2.5.7 TIME DIFFERENTIAL/INTEGRATION - FREQUENCY
MULTIPLICATION/DIVISION 94
2.5.8 FREQUENCY DIFFERENTIATION - TIME MULTIPLICATION 95
2.5.9 TIME AND FREQUENCY SCALING 95
2.5.10 PARSEVAL S RELATION (RAYLEIGH THEOREM) 96
2.6 POLAR REPRESENTATION AND GRAPHICAL PLOT OF CTFT 96
2.6.1 LINEAR PHASE 97
2.6.2 BODE PLOT 97
2.7 SUMMARY 98
PROBLEMS 99
DISCRETE-TIME FOURIER ANALYSIS
129
3.
1
DISCRETE-TIME FOURIER TRANSFORM (DTFT) 130
3.1.1 DEFINITION AND CONVERGENCE CONDITIONS OF DTFT
REPRESENTATION 130
3.1.2 EXAMPLES OF DTFT ANALYSIS 132
3.1.3 DTFT OF PERIODIC SEQUENCES 136
3.2 PROPERTIES OF THE DISCRETE-TIME FOURIER TRANSFORM 138
3.2.1 PERIODICITY 138
3.2.2 LINEARITY 138
3.2.3 (CONJUGATE) SYMMETRY 138
3.2.4 TIME/FREQUENCY SHIFTING (REAL/COMPLEX TRANSLATION) 139
3.2.5 REAL CONVOLUTION 139
3.2.6 COMPLEX CONVOLUTION (MODULATION/WINDOWING) 139
3.2.7 DIFFERENCING AND SUMMATION IN TIME 143
3.2.8 FREQUENCY DIFFERENTIATION 143
3.2.9 TIME AND FREQUENCY SCALING 143
3.2.10 PARSEVAL S RELATION (RAYLEIGH THEOREM) 144
CONTENTS
3.3 POLAR REPRESENTATION AND GRAPHICAL PLOT OF DTFT 144
3.4 DISCRETE FOURIER TRANSFORM (DFT) 147
3.4.1 PROPERTIES OF THE DFT 149
3.4.2 LINEAR CONVOLUTION WITH DFT 152
3.4.3 DFT FOR NONCAUSAL OR INFINITE-DURATION SEQUENCE 155
3.5 RELATIONSHIP AMONG CTFS, CTFT, DTFT, AND DFT 160
3.5.1 RELATIONSHIP BETWEEN CTFS AND DFT/DFS 160
3.5.2 RELATIONSHIP BETWEEN CTFT AND DTFT 161
3.5.3 RELATIONSHIP AMONG CTFS, CTFT, DTFT, AND DFT/DFS .
. 162
3.6 FAST FOURIER TRANSFORM (FFT) 164
3.6.1 DECIMATION-IN-TIME (DIT) FFT 165
3.6.2 DECIMATION-IN-FREQUENCY (DIF) FFT 168
3.6.3 COMPUTATION OF IDFT USING FFT ALGORITHM 169
3.7 INTERPRETATION OF DFT RESULTS 170
3.8 EFFECTS OF SIGNAL OPERATIONS ON DFT SPECTRUM 178
3.9 SHORT-TIME FOURIER TRANSFORM - SPECTROGRAM 180
3.10 SUMMARY 182
PROBLEMS 182
THE Z-TRANSFORM 207
4.1 DEFINITION OF THE Z-TRANSFORM 208
4.2 PROPERTIES OF THE Z-TRANSFORM 213
4.2.1 LINEARITY 213
4.2.2 TIME SHIFTING - REAL TRANSLATION 214
4.2.3 FREQUENCY SHIFTING - COMPLEX TRANSLATION 215
4.2.4 TIME REVERSAL 215
4.2.5 REAL CONVOLUTION 215
4.2.6 COMPLEX CONVOLUTION 216
4.2.7 COMPLEX DIFFERENTIATION 216
4.2.8 PARTIAL DIFFERENTIATION 217
4.2.9 INITIAL VALUE THEOREM 217
4.2.10 FINAL VALUE THEOREM 218
4.3 THE INVERSE Z-TRANSFORM 218
4.3.1 INVERSE Z-TRANSFORM BY PARTIAL FRACTION EXPANSION 219
4.3.2 INVERSE Z-TRANSFORM BY LONG DIVISION 223
4.4 ANALYSIS OF LTI SYSTEMS USING THE Z-TRANSFORM 224
4.5 GEOMETRIC EVALUATION OF THE Z-TRANSFORM 231
4.6 THE Z-TRANSFORM OF SYMMETRIC SEQUENCES 236
4.6.1 SYMMETRIC SEQUENCES 236
4.6.2 ANTI-SYMMETRIC SEQUENCES 237
4.7 SUMMARY 240
PROBLEMS 240
CONTENTS
SAMPLING AND RECONSTRUCTION
249
5.
1
DIGITAL-TO-ANALOG (DA) CONVERSION^-1 ] 250
5.2 ANALOG-TO-DIGITAL (AD) CONVERSION[G-1, J-2, W-2] 251
5.2.1 COUNTER (STAIR-STEP) RAMP ADC 251
5.2.2 TRACKING ADC 252
5.2.3 SUCCESSIVE APPROXIMATION ADC 253
5.2.4 DUAL-RAMP ADC 254
5.2.5 PARALLEL (FLASH) ADC 256
5.3 SAMPLING 257
5.3.1 SAMPLING THEOREM 257
5.3.2 ANTI-ALIASING AND ANTI-IMAGING FILTERS 262
5.4 RECONSTRUCTION AND INTERPOLATION 263
5.4.1 SHANNON RECONSTRUCTION 263
5.4.2 DFS RECONSTRUCTION 265
5.4.3 PRACTICAL RECONSTRUCTION 267
5.4.4 DISCRETE-TIME INTERPOLATION 269
5.5 SAMPLE-AND-HOLD (S/H) OPERATION 272
5.6 SUMMARY 272
PROBLEMS 273
CONTINUOUS-TIME SYSTEMS AND DISCRETE-TIME SYSTEMS
277
6.1 CONCEPT OF DISCRETE-TIME EQUIVALENT 277
6.2 INPUT-INVARIANT TRANSFORMATION 280
6.2.1 IMPULSE-INVARIANT TRANSFORMATION 281
6.2.2 STEP-INVARIANT TRANSFORMATION 282
6.3 VARIOUS DISCRETIZATION METHODS [P-11 284
6.3.1 BACKWARD DIFFERENCE RULE ON NUMERICAL DIFFERENTIATION ..
. 284
6.3.2 FORWARD DIFFERENCE RULE ON NUMERICAL DIFFERENTIATION ...
. 286
6.3.3 LEFT-SIDE (RECTANGULAR) RULE ON NUMERICAL INTEGRATION ...
. 287
6.3.4 RIGHT-SIDE (RECTANGULAR) RULE ON NUMERICAL INTEGRATION ..
. 288
6.3.5 BILINEAR TRANSFORMATION (BUT) - TRAPEZOIDAL RULE ON
NUMERICAL INTEGRATION 288
6.3.6 POLE-ZERO MAPPING - MATCHED Z-TRANSFORM [F-L ] 292
6.3.7 TRANSPORT DELAY - DEAD TIME 293
6.4 TIME AND FREQUENCY RESPONSES OF DISCRETE-TIME EQUIVALENTS 293
6.5 RELATIONSHIP BETWEEN S-PLANE POLES AND Z-PLANE POLES 295
6.6 THE STARRED TRANSFORM AND PULSE TRANSFER FUNCTION 297
6.6.1 THE STARRED TRANSFORM 297
6.6.2 THE PULSE TRANSFER FUNCTION 298
6.6.3 TRANSFER FUNCTION OF CASCADED SAMPLED-DATA SYSTEM 299
6.6.4 TRANSFER FUNCTION OF SYSTEM IN A/D-G[Z]-D/A STRUCTURE..
. 300
PROBLEMS 301
CONTENTS XIII
7 ANALOG AND DIGITAL FILTERS
307
7.1 ANALOG FILTER DESIGN 307
7.2 DIGITAL FILTER DESIGN 320
7.2.1 IIR FILTER DESIGN 321
7.2.2 FIR FILTER DESIGN 331
7.2.3 FILTER STRUCTURE AND SYSTEM MODEL AVAILABLE IN MATLAB . 345
7.2.4 IMPORTING/EXPORTING A FILTER DESIGN 348
7.3 HOW TO USE SPTOOL 350
PROBLEMS 357
8 STATE SPACE ANALYSIS OF LTI SYSTEMS
361
8.1 STATE SPACE DESCRIPTION - STATE AND OUTPUT EQUATIONS 362
8.2 SOLUTION OF LTI STATE EQUATION 364
8.2.1 STATE TRANSITION MATRIX 364
8.2.2 TRANSFORMED SOLUTION 365
8.2.3 RECURSIVE SOLUTION 368
8.3 TRANSFER FUNCTION AND CHARACTERISTIC EQUATION 368
8.3.1 TRANSFER FUNCTION 368
8.3.2 CHARACTERISTIC EQUATION AND ROOTS 369
8.4 DISCRETIZATION OF CONTINUOUS-TIME STATE EQUATION 370
8.4.1 STATE EQUATION WITHOUT TIME DELAY 370
8.4.2 STATE EQUATION WITH TIME DELAY 374
8.5 VARIOUS STATE SPACE DESCRIPTION - SIMILARITY TRANSFORMATION 376
8.6 SUMMARY 379
PROBLEMS 379
A
THE LAPLACE TRANSFORM
385
A. 1 DEFINITION OF THE LAPLACE TRANSFORM 385
A.2 EXAMPLES OF THE LAPLACE TRANSFORM 385
A.2.1 LAPLACE TRANSFORM OF THE UNIT STEP FUNCTION 385
A.2.2 LAPLACE TRANSFORM OF THE UNIT IMPULSE FUNCTION 386
A.2.3 LAPLACE TRANSFORM OF THE RAMP FUNCTION 387
A.2.4 LAPLACE TRANSFORM OF THE EXPONENTIAL FUNCTION 387
A.2.5 LAPLACE TRANSFORM OF THE COMPLEX EXPONENTIAL FUNCTION .
. 387
A.3 PROPERTIES OF THE LAPLACE TRANSFORM 387
A.3.1 LINEARITY 388
A.3.2 TIME DIFFERENTIATION 388
A.3.3 TIME INTEGRATION 388
A.3.4 TIME SHIFTING - REAL TRANSLATION 389
A.3.5 FREQUENCY SHIFTING - COMPLEX TRANSLATION 389
A.3.6 REAL CONVOLUTION 389
A.3.7 PARTIAL DIFFERENTIATION 390
A.3.8 COMPLEX DIFFERENTIATION 390
A.3.9 INITIAL VALUE THEOREM 391
XIV CONTENTS
A.3.10 FINAL VALUE THEOREM 391
A.4 INVERSE LAPLACE TRANSFORM 392
A.5 USING THE LAPLACE TRANSFORM TO SOLVE DIFFERENTIAL EQUATIONS 394
B TABLES OF VARIOUS TRANSFORMS
399
C OPERATIONS ON COMPLEX NUMBERS, VECTORS, AND MATRICES
409
C. 1 COMPLEX ADDITION 409
C.2 COMPLEX MULTIPLICATION 409
C.3 COMPLEX DIVISION 409
C.4 CONVERSION BETWEEN RECTANGULAR FORM AND POLAR/EXPONENTIAL FORM409
C.5 OPERATIONS ON COMPLEX NUMBERS USING MATLAB 410
C.6 MATRIX ADDITION AND SUBTRACTION[Y-1 ] 410
C.7 MATRIX MULTIPLICATION 411
C.8 DETERMINANT 411
C.9 EIGENVALUES AND EIGENVECTORS OF A MATRIX
1
412
CI
O INVERSE MATRIX 412
C.I 1 SYMMETRIC/HERMITIAN MATRIX 413
C.12 ORTHOGONAL/UNITARY MATRIX 413
C.13 PERMUTATION MATRIX 414
C.14 RANK 414
C.15 ROW SPACE AND NULL SPACE 414
C.16 ROW ECHELON FORM 414
C.17 POSITIVE DEFINITENESS 415
C.I8 SCALAR(DOT) PRODUCT AND VECTOR(CROSS) PRODUCT 416
C.19 MATRIX INVERSION LEMMA 416
C.20 DIFFERENTIATION W.R.T. A VECTOR 416
D USEFUL FORMULAS
419
E MATLAB
421
E. 1 CONVOLUTION AND DECONVOLUTION 423
E.2 CORRELATION 424
E.3 CTFS (CONTINUOUS-TIME FOURIER SERIES) 425
E.4 DTFT (DISCRETE-TIME FOURIER TRANSFORM) 425
E.5 DFS/DFT (DISCRETE FOURIER SERIES/TRANSFORM) 425
E.6 FFT (FAST FOURIER TRANSFORM) 426
E.7 WINDOWING 427
E.8 SPECTROGRAM (FFT WITH SLIDING WINDOW) 427
E.9 POWER SPECTRUM 429
E. 10 IMPULSE AND STEP RESPONSES 430
E. 11 FREQUENCY RESPONSE 433
E.12 FILTERING 434
E. 13 FILTER DESIGN 436
CONTENTS XV
E.
I3.1
ANALOG FILTER DESIGN 436
E.13.2 DIGITAL FILTER DESIGN - IIR (INFINITE-DURATION IMPULSE
RESPONSE) FILTER 437
E.13.3 DIGITAL FILTER DESIGN - FIR (FINITE-DURATION IMPULSE
RESPONSE) FILTER 438
E. 14 FILTER DISCRETIZATION 441
E. 15 CONSTRUCTION OF FILTERS IN VARIOUS STRUCTURES USING DFILT() 443
E. 16 SYSTEM IDENTIFICATION FROM IMPULSE/FREQUENCY RESPONSE 447
E. 17 PARTIAL FRACTION EXPANSION AND (INVERSE) LAPLACE/Z-TRANSFORM 449
E. 18 DECIMATION, INTERPOLATION, AND RESAMPLING 450
E. 19 WAVEFORM GENERATION 452
E.20 INPUT/OUTPUT THROUGH FILE 452
F SIMULINK
453
INDEX
461
INDEX FOR MATLAB ROUTINES
467
INDEX FOR EXAMPLES 471
INDEX FOR REMARKS
473
|
| any_adam_object | 1 |
| author_GND | (DE-588)130107964 |
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| bvnumber | BV035647482 |
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| ctrlnum | (OCoLC)434507866 (DE-599)DNB991529510 |
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| dewey-search | 621.382201515723 |
| dewey-sort | 3621.382201515723 |
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| discipline | Maschinenbau / Maschinenwesen Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV035647482 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:23Z |
| institution | BVB |
| isbn | 9783540929536 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017702145 |
| oclc_num | 434507866 |
| open_access_boolean | |
| owner | DE-29T DE-1043 DE-Aug4 DE-92 DE-83 |
| owner_facet | DE-29T DE-1043 DE-Aug4 DE-92 DE-83 |
| physical | XV, 474 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Signals and systems with MATLAB Won Y. Yang ... Berlin [u.a.] Springer 2009 XV, 474 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Signalverarbeitung - Systemanalyse - Fourier-Transformation - Z-Transformation Signalverarbeitung - Systemanalyse - MATLAB Signalverarbeitung - Systemanalyse - SIMULINK SIMULINK (DE-588)4480546-9 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Z-Transformation (DE-588)4191048-5 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Systemanalyse (DE-588)4116673-5 s MATLAB (DE-588)4329066-8 s DE-604 SIMULINK (DE-588)4480546-9 s Fourier-Transformation (DE-588)4018014-1 s Z-Transformation (DE-588)4191048-5 s Yang, Won yeong 1953- Sonstige (DE-588)130107964 oth Erscheint auch als Online-Ausgabe 978-3-540-92954-3 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017702145&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Signals and systems with MATLAB Signalverarbeitung - Systemanalyse - Fourier-Transformation - Z-Transformation Signalverarbeitung - Systemanalyse - MATLAB Signalverarbeitung - Systemanalyse - SIMULINK SIMULINK (DE-588)4480546-9 gnd Fourier-Transformation (DE-588)4018014-1 gnd Systemanalyse (DE-588)4116673-5 gnd MATLAB (DE-588)4329066-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Z-Transformation (DE-588)4191048-5 gnd |
| subject_GND | (DE-588)4480546-9 (DE-588)4018014-1 (DE-588)4116673-5 (DE-588)4329066-8 (DE-588)4054947-1 (DE-588)4191048-5 |
| title | Signals and systems with MATLAB |
| title_auth | Signals and systems with MATLAB |
| title_exact_search | Signals and systems with MATLAB |
| title_full | Signals and systems with MATLAB Won Y. Yang ... |
| title_fullStr | Signals and systems with MATLAB Won Y. Yang ... |
| title_full_unstemmed | Signals and systems with MATLAB Won Y. Yang ... |
| title_short | Signals and systems with MATLAB |
| title_sort | signals and systems with matlab |
| topic | Signalverarbeitung - Systemanalyse - Fourier-Transformation - Z-Transformation Signalverarbeitung - Systemanalyse - MATLAB Signalverarbeitung - Systemanalyse - SIMULINK SIMULINK (DE-588)4480546-9 gnd Fourier-Transformation (DE-588)4018014-1 gnd Systemanalyse (DE-588)4116673-5 gnd MATLAB (DE-588)4329066-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Z-Transformation (DE-588)4191048-5 gnd |
| topic_facet | Signalverarbeitung - Systemanalyse - Fourier-Transformation - Z-Transformation Signalverarbeitung - Systemanalyse - MATLAB Signalverarbeitung - Systemanalyse - SIMULINK SIMULINK Fourier-Transformation Systemanalyse MATLAB Signalverarbeitung Z-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017702145&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yangwonyeong signalsandsystemswithmatlab |