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Signals and Systems
Using MATLAB
Luis F. Chaparro
Department of Electrical and Computer Engineering
University of Pittsburgh
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Academic Press is an imprint of Elsevier
Academic Press is an imprint of Elsevier
30 Corporate Drive, Suite 400, Burlington, MA 01803, USA
Elsevier, The Boulevard, Langford Lane, Kidlington, Oxford, OX5 1GB, UK
Copyright
c
2011 Elsevier Inc. All rights reserved.
No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical,
including photocopying, recording, or any information storage and retrieval system, without permission in writing from
the publisher. Details on how to seek permission, further information about the Publisher’s permissions policies and our
arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be
found at our website: www.elsevier.com/permissions.
This book and the individual contributions contained in it are protected under copyright by the Publisher (other than
as may be noted herein). MATLAB
R
is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks
does not warrant the accuracy of the text or exercises in this book. This books use or discussion of MATLAB
R
software
or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical
approach or particular use of the MATLAB
R
software.
Notices
Knowledge and best practice in this field are constantly changing. As new research and experience broaden our
understanding, changes in research methods, professional practices, or medical treatment may become necessary.
Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any
information, methods, compounds, or experiments described herein. In using such information or methods they
should be mindful of their own safety and the safety of others, including parties for whom they have a
professional responsibility.
To the fullest extent of the law, neither the Publisher nor the authors, contributors, or editors, assume any liability
for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise,
or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.
Library of Congress Cataloging-in-Publication Data
Chaparro, Luis F.
Signals and systems using MATLAB / Luis F. Chaparro.
p. cm.
ISBN 978-0-12-374716-7
1. Signal processing–Digital techniques. 2. System analysis. 3. MATLAB. I. Title.
TK5102.9.C472 2010
621.382’2–dc22
2010023436
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
For information on all Academic Press publications
visit our Web site at www.elsevierdirect.com
Printed in the United States of America
10 11 12 13 9 8 7 6 5 4 3 2 1
R
To my family, with much love.
Contents
PREFACE ..................................................................................................................... xi
ACKNOWLEDGMENTS ................................................................................................ xvi
Part 1 Introduction 1
CHAPTER 0 From the Ground Up! ............................................................................. 3
0.1 Signals and Systems and Digital Technologies........................................ 3
0.2 Examples of Signal Processing Applications ........................................... 5
0.2.1 Compact-Disc Player ................................................................ 5
0.2.2 Software-Defined Radio and Cognitive Radio............................... 6
0.2.3 Computer-Controlled Systems ................................................... 8
0.3 Analog or Discrete? ............................................................................. 9
0.3.1 Continuous-Time and Discrete-Time Representations .................. 10
0.3.2 Derivatives and Finite Differences ............................................. 12
0.3.3 Integrals and Summations......................................................... 13
0.3.4 Differential and Difference Equations ......................................... 16
0.4 Complex or Real? ................................................................................ 20
0.4.1 Complex Numbers and Vectors .................................................. 20
0.4.2 Functions of a Complex Variable ................................................ 23
0.4.3 Phasors and Sinusoidal Steady State .......................................... 24
0.4.4 Phasor Connection ................................................................... 26
0.5 Soft Introduction to MATLAB ............................................................... 29
0.5.1 Numerical Computations .......................................................... 30
0.5.2 Symbolic Computations ............................................................ 43
Problems............................................................................................ 53
Part 2 Theory and Application of Continuous-Time
Signals and Systems 63
CHAPTER 1 Continuous-Time Signals ......................................................................... 65
1.1 Introduction ....................................................................................... 65
1.2 Classification of Time-Dependent Signals............................................... 66
iv
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