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Digital Signal Processing
A Computer Science Perspective
Jonathan(Y)Stein
A Wiley-Interscience Publication
JOHN WILEY&SONS, INC.
New York ? Chichester ? Weinheim ? Brisbane ? Singapore ? Toronto
Copyright ? 2000 by John Wiley&Sons, Inc. All rights reserved.
No part of this publication may be reproduced, stored in a retrieval system or transmitted in
any form or by any means, electronic or mechanical, including uploading, downloading,
printing, decompiling, recording or otherwise, except as permitted under Sections 107 or 108 of
the 1976 United States Copyright Act, without the prior written permission of the Publisher.
Requests to the Publisher for permission should be addressed to the Permissions Department,
John Wiley&Sons, Inc., 605 Third Avenue, New York, NY 10158-0012,(212)850-6011, fax
(212)850-6008, E-Mail: PERMREQ O WILEY.COM.
This publication is designed to provide accurate and authoritative information in regard to the
subject matter covered. It is sold with the understanding that the publisher is not engaged in
rendering professional services. If professional advice or other expert assistance is required, the
services of a competent professional person should be sought.
ISBN 0-471-20059-X.
This title is also available in print as ISBN 0-471-29546-9
For more information about Wiley products, visit our web site at www.Wiley.com.
Library of Congress Cataloging in Publication Data
Stein, Jonathan Y.
Digital signal processing: a computer science perspective/Jonathan Y. Stein
p. cm.
"A Wiley-Interscience publication."
Includes bibliographical references and index.
ISBN 0-471-29546-9(cloth: alk. paper)
1. Signal processing—Digital techniques. I. Title.
TK5102.9. S745 2000
621.382'2—dc21
00-035905
Printed in the United States of America.
10 987654321
To Ethel, Hanna and Noga
Contents
Preface
xv
1 Introductions
1
1.1 Prehistory of DSP
2
1.2 Some Applications of Signal Processing
4
1.3 Analog Signal Processing
7
1.4 Digital Signal Processing
10
Part I
Signal Analysis
2 Signals
15
2.1 Signal Defined
15
2.2 The Simplest Signals
20
2.3 Characteristics of Signals
30
2.4 Signal Arithmetic
33
2.5 The Vector Space of All Possible Signals
40
2.6 Time and Frequency Domains
44
2.7 Analog and Digital Domains
47
2.8 Sampling
49
2.9 Digitization
57
2.10 Antialiasing and Reconstruction Filters
62
2.11 Practical Analog to Digital Conversion
64
3 The Spectrum of Periodic Signals
71
3.1 Newton's Discovery
72
3.2 Frequency Components
74
3.3 Fourier's Discovery
77
3.4 Representation by Fourier Series
80
3.5 Gibbs Phenomenon
86
3.6 Complex FS and Negative Frequencies
90
vii
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