Fundamentals of signals and systems using Matlab
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| 245 | 1 | 0 | |a Fundamentals of signals and systems using Matlab |c Edward W. Kamen ; Bonnie S. Heck |
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| adam_text | Fundamentals of
Signals and Systems
Using Matlab®
EDWARD W KAMEN
BONNIE S HECK
School of Electrical arid Computer Engineering
Georgia Institute of Technology
Prentice Hall
Upper Saddle River, New Jersey 07458
Library of Congress Cataloging-in-Publi cation Data
Kamen, Edward W
Fundamentals of signals and systems with MATLAB / Edward W Kamen,
Bonnie S Heck,
p cm
Includes bibliographical references and index
ISBN 0-02-361942-2
1 Signal processing—Digital techniques 2 System analysis
3 MATLAB I Heck, Bonnie S II Title
TK5102 9 K35 1997 ^
621 382 23—dc20 96-330
CIP LC
,1
Acquisitions editor: TOM ROBBINS , _AO
Editor-in-chief: MARCIA HORTON
Production editor: IRWIN ZUCKER X
Managing editor: BAYANI MENDOZA DE LEON
Cover designer: JAYNE CONTE
Director of production and manufacturing: DAVID W RICCARDI
Manufacturing buyer: DONNA SULLIVAN
Editorial assistant: NANCY GARCIA
=rj jii= © 1997 by Prentice-Hall, Inc
Simon amp; Schuster / A Viacom Company
Upper Saddle River, New Jersey 07458
All rights reserved No part of this book may be
reproduced, in any form or by any means,
without permission in writing from the publisher
HESSISCHE LANDES- UND
HOCHSCHULBIBLIOTHEK
DARMSTADT
The author and publisher of this book have used their best efforts in preparing this book These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness The author and
publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation
contained in this book The author and publisher shall not be liable in any event for incidental or consequential
damages in connection with, or arising out of, the furnishing, performance, or use of these programs
MATLAB® is a registered trademark of the MathWorks, Inc
Printed in the United States of America
ISBN 0-Q2-3bn4E-2
Prentice-HaJI International (UK) Limited, London
Prentice-Hall of Australia Pty Limited, Sydney
Prentice-Hall Canada Inc , Toronto
Prentice-Hall Hispanoamericana, SA, Mexico
Prentice-Hall of India Private Limited, New Delhi
Prentice-Hall of Japan, Inc , Tokyo
Simon amp; Schuster Asia Pte Ltd , Singapore
Editora Prentice-Hall do Brasil, Ltda , Rio de Janeiro
Preface xi
1 FUNDAMENTAL CONCEPTS 1
1 1 Signals and Systems 1
1 2 Continuous-Time Signals 6
1 3 Discrete-Time Signals 17
1 4 Examples of Systems 25
1 5 Basic System Properties 34
Problems 44
2 SYSTEMS DEFINED BY DIFFERENTIAL OR DIFFERENCE
EQUATIONS 55
2 1 Linear Input/Output Differential Equations with
Constant Coefficients 55
2 2 System Modeling 59
2 3 Linear Input/Output Difference Equations with
Constant Coefficients 64
v
2 4 Discretization in Time of Differential Equations 70
2 5 Systems Defined by Time-Varying or
Nonlinear Equations 78
Problems 86
3 CONVOLUTION REPRESENTATION
3 1 Convolution Representation of Linear Time-Invariant
Discrete-Time Systems 97
3 2 Convolution of Discrete-Time Signals 100
3 3 Convolution Representation of Linear Time-Invariant
Continuous-Time Systems 110
3 4 Convolution of Continuous-Time Signals 114
3 5 Numerical Convolution 124
3 6 Linear Time-Varying Systems 128
Problems 131
4 THE FOURIER SERIES AND FOURIER TRANSFORM
4 1 Representation of Signals in Terms of Frequency
Components 142
4 2 Fourier Series Representation of Periodic Signals 148
4 3 Fourier Transform 156
4 4 Properties of the Fourier Transform 169
4 5 Amplitude Modulation and Sampling 184
4 6 Generalized Fourier Transform 191
Problems 194
5 FREQUENCY-DOMAIN ANALYSIS OF SYSTEMS
5 1 Response to a Sinusoidal Input 206
5 2 Response to Periodic and Aperiodic Inputs 214
5 3 Analysis of Ideal Filters 225
5 4 Demodulation and Signal Reconstruction 235
Problems 246
vi Contents
Contents vii
6 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS
AND SYSTEMS
6 1 Discrete-Time Fourier Transform 263
6 2 Discrete Fourier Transform 275
6 3 Properties of the DFT 287
6 4 System Analysis via the DTFT and DFT 296
6 5 FFT Algorithm 302
6 6 Applications of the FFT Algorithm 305
Problems 313
7 THE LAPLACE TRANSFORM AND THE TRANSFER
FUNCTION REPRESENTATION
7 1 Laplace Transform of a Signal 323
7 2 Properties of the Laplace Transform 327
7 3 Computation of the Inverse Laplace Transform 338
7 4 Transform of the Input/Output Differential
Equation 358
7 5 Transfer Function Representation 365
7 6 Transfer Function of Block Diagrams 378
Problems 386
8 SYSTEM ANALYSIS USING THE TRANSFER FUNCTION
REPRESENTATION
8 1 Stability and the Impulse Response 398
8 2 Routh-Hurwitz Stability Test 401
8 3 Analysis of the Step Response 405
8 4 Response to Sinusoids and Arbitrary Inputs 420
8 5 Frequency Response Function 426
8 6 Causal Filters 444
Problems 459
9 APPLICATION TO CONTROL
9 1 Introduction to Control 470
Contents
9 2 Tracking Control 477
9 3 Root Locus 487
9 4 Application to Control System Design 495
Problems 504
10 THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS
10 1 z-Transform of a Discrete-Time Signal 516
10 2 Properties of the z-Transform 520
10 3 Computation of the Inverse z-Transform 531
10 4 Transfer Function Representation 541
10 5 Stability of Discrete-Time Systems 553
10 6 Frequency Response of Discrete-Time
Systems 557
Problems 561
11 DESIGN OF DIGITAL FILTERS AND CONTROLLERS
11 1 Discretization 573
11 2 Design of IIR Filters 578
11 3 Design of IIR Filters Using MATLAB 583
11 4 Design of FIR Filters 590
11 5 Design of Digital Controllers 603
Problems 609
12 STATE REPRESENTATION
12 1 State Model 616
12 2 Construction of State Models 619
12 3 Solution of State Equations 627
12 4 Discrete-Time Systems 636
12 5 Equivalent State Representations 643
12 6 Discretization of State Model 649
Problems 652
viii
APPENDIX A BRIEF REVIEW OF COMPLEX
VARIABLES 663
APPENDIX B BRIEF REVIEW OF MATRICES 667
APPENDIX C MATLAB M-FILES 673
BIBLIOGRAPHY 678
Contents ix
INDEX 681
|
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| language | English |
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| spellingShingle | Kamen, Edward W. 1945- Heck, Bonnie S. Fundamentals of signals and systems using Matlab MATLAB Analyse - Matlab - Numerique - Signal - Technique - Traitement Signal processing Digital techniques System analysis MATLAB (DE-588)4329066-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| subject_GND | (DE-588)4329066-8 (DE-588)4054947-1 |
| title | Fundamentals of signals and systems using Matlab |
| title_auth | Fundamentals of signals and systems using Matlab |
| title_exact_search | Fundamentals of signals and systems using Matlab |
| title_full | Fundamentals of signals and systems using Matlab Edward W. Kamen ; Bonnie S. Heck |
| title_fullStr | Fundamentals of signals and systems using Matlab Edward W. Kamen ; Bonnie S. Heck |
| title_full_unstemmed | Fundamentals of signals and systems using Matlab Edward W. Kamen ; Bonnie S. Heck |
| title_short | Fundamentals of signals and systems using Matlab |
| title_sort | fundamentals of signals and systems using matlab |
| topic | MATLAB Analyse - Matlab - Numerique - Signal - Technique - Traitement Signal processing Digital techniques System analysis MATLAB (DE-588)4329066-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| topic_facet | MATLAB Analyse - Matlab - Numerique - Signal - Technique - Traitement Signal processing Digital techniques System analysis Signalverarbeitung |
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