Signals, systems, and transforms:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Upper Saddle River, NJ
Prentice Hall
1999
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 663 S. graph. Darst. |
| ISBN: | 0130953229 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804127149842497536 |
|---|---|
| adam_text | SECOND EDITION CHARLES L. PHILLIPS EMERITUS AUBURN UNIVERSITY AUBURN,
ALABAMA JOHN M. PARR UNIVERSITY OF EVANSVILLE EVANSVILLE, INDIANA
PRENTICE HALL, UPPER SADDLE RIVER, NEW JERSEY 07458 X . ^ PREFACE 1
INTRODUCTION 1.1 MODELING 1 1.2 CONTINUOUS-TIME PHYSICAL SYSTEMS 4
ELECTRIC CIRCUITS, 4 OPERATIONAL AMPLIFIER CIRCUITS, 5 SIMPLE PENDULUM,
8 DC POWER SUPPLIES, 9 ANALOGOUS SYSTEMS, 11 1.3 SAMPLERS AND
DISCRETE-TIME PHYSICAL SYSTEMS 13 ANALOG-TO-DIGITAL CONVERTER, 13
NUMERICAL INTEGRATION, 15 PICTURE IN A PICTURE, 16 COMPACT DISKS, 17
SAMPLING IN TELEPHONE SYSTEMS, 18 DATA-ACQUISITION SYSTEM, 19 1.4 MATLAB
AND SIMULINK 20 1.5 SIGNALS AND SYSTEMS REFERENCES 21 REFERENCES 21 2
CONTINUOUS-TIME SIGNALS AND SYSTEMS 2.1 TRANSFORMATIONS OF
CONTINUOUS-TIME SIGNALS 24 TIME TRANSFORMATIONS, 24 AMPLITUDE
TRANSFORMATIONS, 30 VIII 2.2 SIGNAL CHARACTERISTICS 31 EVEN AND ODD
SIGNALS, 32 PERIODIC SIGNALS, 34 2.3 COMMON SIGNALS IN ENGINEERING 37
2.4 SINGULARITY FUNCTIONS 42 UNIT STEP FUNCTION, 42 UNIT IMPULSE
FUNCTION, 46 2.5 MATHEMATICAL FUNCTIONS FOR SIGNALS 50 2.6
CONTINUOUS-TIME SYSTEMS 55 INTERCONNECTING SYSTEMS, 57 FEEDBACK SYSTEM,
59 2.7 PROPERTIES OF CONTINUOUS-TIME SYSTEMS 61 SYSTEMS WITH MEMORY, 61
INVERTIBILITY, 62 INVERSE OF A SYSTEM, 62 CAUSALITY, 63 STABILITY, 64
TIME INVARIANCE, 65 LINEARITY, 67 SUMMARY 69 REFERENCES 70 PROBLEMS 70 3
CONTINUOUS-TIME LINEAR TIME-INVARIANT SYSTEMS 3.1 IMPULSE REPRESENTATION
OF CONTINUOUS-TIME SIGNALS 81 3.2 CONVOLUTION FOR CONTINUOUS-TIME LTI
SYSTEMS 84 3.3 PROPERTIES OF CONVOLUTION 92 3.4 PROPERTIES OF
CONTINUOUS-TIME LTI SYSTEMS 95 SYSTEMS WITH MEMORY, 96 INVERTIBILITY,
96 CAUSALITY, 97 STABILITY, 97 UNIT STEP RESPONSE, 99 3.5
DIFFERENTIAL-EQUATION MODELS 100 SOLUTION OF DIFFERENTIAL EQUATIONS, 102
CONTENTS GENERAL CASE, 103 RELATION TO PHYSICAL SYSTEMS, 104 3.6 TERMS
IN THE NATURAL RESPONSE 106 STABILITY, 107 3.7 SYSTEM RESPONSE FOR
COMPLEX-EXPONENTIAL INPUTS LINEARITY, 109 COMPLEX INPUTS FOR LTI
SYSTEMS, 110 IMPULSE RESPONSE, 114 3.8 BLOCK DIAGRAMS 115 DIRECT FORM
1,118 DIRECT FORM II, 120 NTH-ORDER REALIZATIONS, 121 PRACTICAL
CONSIDERATIONS, 122 SUMMARY 123 REFERENCES 124 PROBLEMS 124 4 FOURIER
SERIES 4.1 APPROXIMATING PERIODIC FUNCTIONS 134 PERIODIC FUNCTIONS, 134
APPROXIMATING PERIODIC FUNCTIONS, 135 4.2 FOURIER SERIES 138 FOURIER
SERIES, 139 FOURIER COEFFICIENTS, 141 4.3 FOURIER SERIES AND FREQUENCY
SPECTRA 143 FREQUENCY SPECTRA, 144 4.4 PROPERTIES OF FOURIER SERIES 152
4.5 SYSTEM ANALYSIS 155 4.6 FOURIER SERIES TRANSFORMATIONS 162 AMPLITUDE
TRANSFORMATIONS, 162 TIME TRANSFORMATIONS, 164 SUMMARY 166 REFERENCES
166 PROBLEMS 167 X CONTENTS 5 THE FOURIER TRANSFORM 174 5.1 DEFINITION
OF THE FOURIER TRANSFORM 174 5.2 PROPERTIES OF THE FOURIER TRANSFORM 182
LINEARITY, 183 TIME SCALING, 183 TIME SHIFTING, 186 TIME TRANSFORMATION,
187 DUALITY, 189 CONVOLUTION, 191 FREQUENCY SHIFTING, 192 TIME
DIFFERENTIATION, 194 TIME INTEGRATION, 198 FREQUENCY DIFFERENTIATION,
200 SUMMARY, 201 5.3 FOURIER TRANSFORMS OF TIME FUNCTIONS 201 DC LEVEL,
202 UNIT STEP FUNCTION, 202 SWITCHED COSINE, 203 PULSED COSINE, 203
EXPONENTIAL PULSE, 205 FOURIER TRANSFORMS OF PERIODIC FUNCTIONS, 206
FOURIER TRANSFORMS OF SAMPLED SIGNALS, 210 SUMMARY, 212 5.4 APPLICATION
OF THE FOURIER TRANSFORM 212 FREQUENCY RESPONSE OF LINEAR SYSTEMS, 212
FREQUENCY SPECTRA OF SIGNALS, 220 SUMMARY, 223 5.5 ENERGY AND POWER
DENSITY SPECTRA 223 ENERGY DENSITY SPECTRUM, 223 POWER DENSITY SPECTRUM,
225 POWER AND ENERGY TRANSMISSION, 229 SUMMARY, 231 SUMMARY 231
REFERENCES 232 PROBLEMS 233 6 APPLICATIONS OF THE FOURIER TRANSFORM 240
6.1 IDEAL FILTERS 240 6.2 REAL FILTERS 249 CONTENTS XI RC LOW-PASS
FILTER, 249 BUTTERWORTH FILTER, 251 CHEBYSCHEV AND ELLIPTIC FILTERS, 257
BANDPASS FILTERS, 260 SUMMARY, 261 6.3 BANDWIDTH RELATIONSHIPS 262 6.4
SINUSOIDAL AMPLITUDE MODULATION 265 FREQUENCY-DIVISION MULTIPLEXING, 272
6.5 PULSE-AMPLITUDE MODULATION 275 TIME-DIVISION MULTIPLEXING, 277 6.6
SAMPLING CONTINUOUS-TIME SIGNALS 279 SUMMARY 284 REFERENCES 284 PROBLEMS
284 7 THE LAPLACE TRANSFORM 289 7.1 DEFINITIONS OF LAPLACE TRANSFORMS
290 7.2 EXAMPLES 292 7.3 LAPLACE TRANSFORMS OF FUNCTIONS 297 7.4 LAPLACE
TRANSFORM PROPERTIES 300 REAL SHIFTING, 300 DIFFERENTIATION, 305
INTEGRATION, 307 7.5 ADDITIONAL PROPERTIES 308 MULTIPLICATION BY T, 308
INITIAL VALUE, 309 FINAL VALUE, 310 INDEPENDENT-VARIABLE TRANSFORMATION,
311 7.6 RESPONSE OF LTI SYSTEMS 312 INITIAL CONDITIONS, 313 TRANSFER
FUNCTIONS, 315 CONVOLUTION, 317 TRANSFORMS WITH COMPLEX POLES, 320
FUNCTIONS WITH REPEATED POLES, 322 7.7 LTI SYSTEMS CHARACTERISTICS 323
XII CONTENTS CAUSALITY, 324 STABILITY, 324 INVERTIBILITY, 325 FREQUENCY
RESPONSE, 326 7.8 BILATERAL LAPLACE TRANSFORM 328 REGION OF CONVERGENCE,
329 BILATERAL TRANSFORM FROM UNILATERAL TABLES, 331 INVERSE BILATERAL
LAPLACE TRANSFORM, 334 7.9 RELATIONSHIP OF THE LAPLACE TRANSFORM TO THE
FOURIER TRANSFORM 336 SUMMARY 337 REFERENCES 337 PROBLEMS 337 8 STATE
VARIABLES FOR CONTINUOUS-TIME SYSTEMS 343 8.1 STATE-VARIABLE MODELING
344 8.2 SIMULATION DIAGRAMS 348 8.3 SOLUTION OF STATE EQUATIONS 353
LAPLACE-TRANSFORM SOLUTION, 353 CONVOLUTION SOLUTION, 357 INFINITE
SERIES SOLUTION, 359 8.4 PROPERTIES OF THE STATE TRANSITION MATRIX 362
8.5 TRANSFER FUNCTIONS 364 STABILITY, 366 8.6 SIMILARITY TRANSFORMATIONS
367 TRANSFORMATIONS, 368 PROPERTIES, 372 REFERENCES 375 PROBLEMS 375 9
DISCRETE-TIME SIGNALS AND SYSTEMS 383 9.1 DISCRETE-TIME SIGNALS AND
SYSTEMS 385 UNIT STEP AND UNIT IMPULSE FUNCTIONS, 387 EQUIVALENT
OPERATIONS, 388 CONTENTS XIII 9.2 TRANSFORMATIONS OF DISCRETE-TIME
SIGNALS 390 TIME TRANSFORMATIONS, 390 AMPLITUDE TRANSFORMATIONS, 396 9.3
CHARACTERISTICS OF DISCRETE-TIME SIGNALS 397 EVEN AND ODD SIGNALS, 398
SIGNALS PERIODIC IN N, 400 SIGNALS PERIODIC IN FT, 403 9.4 COMMON
DISCRETE-TIME SIGNALS 404 9.5 DISCRETE-TIME SYSTEMS 410 INTERCONNECTING
SYSTEMS, 411 9.6 PROPERTIES OF DISCRETE-TIME SYSTEMS 412 SYSTEMS WITH
MEMORY, 413 INVERTIBILITY, 414 INVERSE OF A SYSTEM, 414 CAUSALITY, 415
STABILITY, 415 TIME INVARIANCE, 416 LINEARITY, 417 SUMMARY 419
REFERENCES 419 PROBLEMS 419 10 DISCRETE-TIME LINEAR TIME-INVARIANT
SYSTEMS 427 10.1 IMPULSE REPRESENTATION OF DISCRETE-TIME SIGNALS 428
10.2 CONVOLUTION FOR DISCRETE-TIME SYSTEMS 429 PROPERTIES OF
CONVOLUTION, 437 10.3 PROPERTIES OF DISCRETE-TIME LTI SYSTEMS 440
SYSTEMS WTH MEMORY, 440 INVERTIBILITY, 440 CAUSALITY, 441 STABILITY, 442
UNIT STEP RESPONSE, 443 10.4 DIFFERENCE-EQUATION MODELS 444
DIFFERENCE-EQUATION MODELS, 445 CLASSICAL METHOD, 446 SOLUTION BY
ITERATION, 451 10.5 TERMS IN THE NATURAL RESPONSE 452 XIV CONTENTS
STABILITY, 453 10.6 BLOCK DIAGRAMS 454 TWO STANDARD FORMS, 456 10.7
SYSTEM RESPONSE FOR COMPLEX-EXPONENTIAL INPUTS 461 LINEARITY, 461
COMPLEX INPUTS FOR LTI SYSTEMS, 461 STABILITY, 466 SAMPLED SIGNALS, 466
IMPULSE RESPONSE, 466 SUMMARY 468 REFERENCE 469 PROBLEMS 469 11 THE
Z-TRANSFORM 477 11.1 DEFINITIONS OF Z-TRANSFORMS 477 11.2 EXAMPLES 480
TWO Z-TRANSFORMS, 480 DIGITAL-FILTER EXAMPLE, 483 11.3 Z-TRANSFORMS OF
FUNCTIONS 485 SINUSOIDS, 486 11.4 Z-TRANSFORM PROPERTIES 489 REAL
SHIFTING, 490 INITIAL AND FINAL VALUES, 492 11.5 ADDITIONAL PROPERTIES
494 TIME SCALING, 494 CONVOLUTION IN TIME, 496 11.6 LTI SYSTEM
APPLICATIONS 497 TRANSFER FUNCTIONS, 498 INVERSE Z-TRANSFORM, 499
COMPLEX POLES, 502 CAUSALITY, 504 STABILITY, 505 INVERTIBILITY, 507 11.7
BILATERAL Z-TRANSFORM 508 BILATERAL TRANSFORMS, 512 CONTENTS REGIONS OF
CONVERGENCE, 514 INVERSE BILATERAL TRANSFORMS, 515 SUMMARY 518
REFERENCES 518 PROBLEMS 518 12 FOURIER TRANSFORMS OF DISCRETE-TIME
SIGNALS 12.1 REVIEW OF SAMPLING CONTINUOUS-TIME SIGNALS 524 IMPULSE
SAMPLING, 526 DATA RECONSTRUCTION, 529 12.2 DISCRETE-TIME FOURIER
TRANSFORM 531 Z-TRANSFORM, 533 12.3 PROPERTIES OF THE DISCRETE-TIME
FOURIER TRANSFORM 535 PERIODICITY, 536 LINEARITY, 537 TIME SHIFT, 537
FREQUENCY SHIFT, 538 SYMMETRY, 539 TIME REVERSAL, 539 CONVOLUTION IN
TIME, 539 CONVOLUTION IN FREQUENCY, 540 MULTIPLICATION BY N, 540
PARSEVAL S THEOREM, 541 12.4 TRANSFORM OF PERIODIC SEQUENCES 541 12.5
DISCRETE FOURIER TRANSFORM 547 PRACTICAL LOOK AT DEVELOPMENT OF THE DFT,
551 SHORTHAND NOTATION FOR THE DFT, 553 SUMMARY, 557 12.6 FAST FOURIER
TRANSFORM 557 DECOMPOSITION-IN-TIME FAST FOURIER TRANSFORM ALGO- RITHM,
558 DECOMPOSITION-IN-FREQUENCY FAST FOURIER TRANSFORM, 562 SUMMARY, 564
12.7 APPLICATIONS OF THE DISCRETE FOURIER TRANSFORM 565 CALCULATION OF
FOURIER TRANSFORMS, 565 CONVOLUTION, 574 FILTERING, 581 XVI CONTENTS
CORRELATION, 587 ENERGY SPECTRUM DENSITY ESTIMATION, 594 SUMMARY, 595
SUMMARY 595 REFERENCES 595 PROBLEMS 596 13 STATE VARIABLES FOR
DISCRETE-TIME SYSTEMS 601 13.1 STATE-VARIABLE MODELING 602 13.2
SIMULATION DIAGRAMS 606 13.3 SOLUTION OF STATE EQUATIONS 610 RECURSIVE
SOLUTION, 611 Z-TRANSFORM SOLUTION, 613 13.4 PROPERTIES OF THE STATE
TRANSITION MATRIX 618 13.5 TRANSFER FUNCTIONS 619 STABILITY, 621 13.6
SIMILARITY TRANSFORMATIONS 622 PROPERTIES, 625 SUMMARY 626 REFERENCES
627 PROBLEMS 627 APPENDICES A. INTEGRALS AND TRIGONOMETRIC IDENTITIES
634 INTEGRALS, 634 TRIGONOMETRIC IDENTITIES, 634 B. LEIBNITZ S AND
L HOSPITAL S RULES 635 LEIBNITZ S RULE, 635 L HOSPITAL S RULE, 635 C.
SUMMATION FORMULAS FOR GEOMETRIC SERIES 636 D. COMPLEX NUMBERS AND
EULER S RELATION 637 COMPLEX-NUMBER ARITHMETIC, 638 EULER S RELATION,
640 R CONTENTS XVII CONVERSION BETWEEN FORMS, 642 REFERENCES, 643 E.
SOLUTION OF DIFFERENTIAL EQUATIONS 644 COMPLEMENTARY FUNCTION, 644
PARTICULAR SOLUTION, 645 GENERAL SOLUTION, 646 REPEATED ROOTS, 646
REFERENCES, 647 F. PARTIAL-FRACTION EXPANSIONS 648 REFERENCES, 650 G.
REVIEW OF MATRICES 651 ALGEBRA OF MATRICES, 655 OTHER RELATIONSHIPS, 655
REFERENCES, 656 INDEX 657
|
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| dewey-search | 621/.382/2 |
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV012506602 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:46Z |
| institution | BVB |
| isbn | 0130953229 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008488765 |
| oclc_num | 39223656 |
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| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XXII, 663 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Prentice Hall |
| record_format | marc |
| spelling | Phillips, Charles L. 1932- Verfasser (DE-588)1067157859 aut Signals, systems, and transforms Charles L. Phillips ; John M. Parr 2. ed. Upper Saddle River, NJ Prentice Hall 1999 XXII, 663 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Signal processing Mathematical models System analysis Transformations (Mathematics) Systemtheorie (DE-588)4058812-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Systemmodell (DE-588)4304916-3 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Signaltheorie (DE-588)4054945-8 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Numerisches Verfahren (DE-588)4128130-5 s Systemmodell (DE-588)4304916-3 s 1\p DE-604 Signaltheorie (DE-588)4054945-8 s 2\p DE-604 Systemtheorie (DE-588)4058812-9 s 3\p DE-604 Parr, John M. Verfasser (DE-588)1067158634 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008488765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Phillips, Charles L. 1932- Parr, John M. Signals, systems, and transforms Mathematisches Modell Signal processing Mathematical models System analysis Transformations (Mathematics) Systemtheorie (DE-588)4058812-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Systemmodell (DE-588)4304916-3 gnd Signalverarbeitung (DE-588)4054947-1 gnd Signaltheorie (DE-588)4054945-8 gnd |
| subject_GND | (DE-588)4058812-9 (DE-588)4128130-5 (DE-588)4304916-3 (DE-588)4054947-1 (DE-588)4054945-8 |
| title | Signals, systems, and transforms |
| title_auth | Signals, systems, and transforms |
| title_exact_search | Signals, systems, and transforms |
| title_full | Signals, systems, and transforms Charles L. Phillips ; John M. Parr |
| title_fullStr | Signals, systems, and transforms Charles L. Phillips ; John M. Parr |
| title_full_unstemmed | Signals, systems, and transforms Charles L. Phillips ; John M. Parr |
| title_short | Signals, systems, and transforms |
| title_sort | signals systems and transforms |
| topic | Mathematisches Modell Signal processing Mathematical models System analysis Transformations (Mathematics) Systemtheorie (DE-588)4058812-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Systemmodell (DE-588)4304916-3 gnd Signalverarbeitung (DE-588)4054947-1 gnd Signaltheorie (DE-588)4054945-8 gnd |
| topic_facet | Mathematisches Modell Signal processing Mathematical models System analysis Transformations (Mathematics) Systemtheorie Numerisches Verfahren Systemmodell Signalverarbeitung Signaltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008488765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT phillipscharlesl signalssystemsandtransforms AT parrjohnm signalssystemsandtransforms |