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详细说明:digital phase modulation 通信行业使用的调制解调方面的内容Applications of Communications Theory
Series Editor:R. W. Lucky, aT& T Bell laboratories
COMPUTER NETWORK ARCHITECTURES AND PROTOCOLS
Edited by Paul E. green, Jr
DATA TRANSPORTATION AND PROTECTION
John E. Hershey and R. K. Rao Yarlagadda
DEEP SPACE TELECOMMUNICATIONS SYSTEMS ENGINEERING
Edited by Joseph h. Yuen
DIGITAL PHASE MODULATION
John B. Anderson, Tor Aulin, and Carl-Erik Sundberg
ERROR-CORRECTION CODING FOR DIGITAL COMMUNICATIONS
George C. Clark, Jr, and j. Bibb Cain
FIBER OPTICS: Technology and applications
Stewart D, Personick
FUNDAMENTALS OF DIGITAL SWITCHING
Edited by john C. McDonald
INTRODUCTION TO COMMUNICATION SCIENCE AND SYSTEMS
John R. Pierce and edward C. Posner
MODELING AND ANALYSIS OF COMPUTER
COMMUNICATIONS NETWORKS
Jeremiah F. hayes
MODERN TELECOMMUNICATION
E. Bryan Carne
OPTICAL FIBER TRANSMISSION SYSTEMS
Stewart D, Personick
PRACTICAL COMPUTER DATA COMMUNICATIONS
William j. Barksdale
TELECOMMUNICATIONS SWITCHING
J. Gordon Pearce
A Continuation Order Plan is available for this series. a continuation order will bring delivery of
each new volume immediately upon publication. Volumes are billed only upon actual shipment
For further information please contact the publisher.
Digital Phase
Modulation
John b. anderson
Rensselaer Polytechnic Institute
Troy, New York
Tor aulin
Chalmers University of Technology
Goteborg, Sweden
and
Carl-Erik Sundberg
At &t Bell Laboratories
Holmdel, New Jersey
pringer Science+ Business Media, LLC
Library of Congress Cataloging in Publication Data
Anderson, John B. 1945
Digital phase modulation
(Applications of communications theory)
Includes bibliographical references and index
1. Digital modulation. 2. Phase modulation. 3. Modulation theory. I. Aulin, Tor. II
Sundberg, Carl-Erik. Ill. Title. IV Series
TKsl03.7A531986
621.38
869430
ISBN978-1-48992033-1
1098765432
ISBN978-1-48992033-1
ISBN978-1-4899-2031-7( eBook)
DOI101007978-148992031-7
C 1986 Springer Science+Business Media New York
Originally published by Plenum Press, New York in 1986
Softcover reprint of the hardcover lst edition 1986
All rights reserved
No part of this book may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming
recording, or otherwise, without written permission from the Publisher
Pr
reface
The last ten years have seen a great fowering of the theory of digital data
modulation. This book is a treatise on digital modulation theory, with an
emphasis on these more recent innovations. It has its origins in a collabor
tion among the authors that began in 1977. at that time it seemed odd to
us that the subjects of error-correcting codes and data modulation were so
separated; it seemed also that not enough understanding underlay the mostly
ad hoc approaches to data transmission. a great many others were intrigued
too, and the result was a large body of new work that makes up most of
his book. Now the older disciplines of detection theory and coding theory
have been generalized and applied to the point where it is hard to tell where
these end and the theories of signal design and modulation begin.
Despite our emphasis on the events of the last ten years, we have
included all the traditional topics of digital phase modulation Signal space
concepts are developed, as are simple phase-shift-keyed and pulse-shaped
modulations; receiver structures are discussed, from the simple linear
receiver to the Viterbi algorithm; the effects of channel filtering and of
hardlimiting are described. The volume thus serves well as a pedagogical
book for research engineers in industry and second-year graduate students
In communications engineering
The production of a manageable book required that many topics be
left out. The major constraint in the book is that it is strictly limited to
phase modulation Schemes in which data symbols cause changes in signal
amplitude are omitted. Much other exciting new work had to be left out
Channel equalization, new hardware, new error-correcting codes, and multi
ple-access problems are a few of these subjects. Some readers may seek a
more thorough grounding in the mathematical basis of communications
theory, since the book assumes a basic knowledge of vector spaces, probabil
ty, and random processes. In addition, the rapid treatment of detection
theory, information theory, and phase-lock loops may not be enough for
some readers
Preface
The book is organized as follows An introduction expounds the
reasons, both technical and commercial, why digital transmission has
become so important. Communications theory is the subject of Chapter 2
detection and signal space theory are introduced, along with the error
probability and spectrum of a modulation and some simple receivers for
it. The older, simpler modulation schemes like phase-shift keying and their
real-world behavior provide illustrations of these theories. Chapters 3 and
4 then develop in detail the energy and bandwidth performance of a very
general class of modulations called continuous-phase modulations or CPM
Chapter 5 looks at the simultaneous energy and bandwidth performance
of these modulations, from the standpoint of both particular schemes and
the Shannon theory of modulation Chapter 6 deals with CPM transmitter
structures, while Chapters 7 and 8 discuss more sophisticated receivers than
those in Chapter 2. Synchronization and performance with partial phase
knowledge form the subject matter of Chapters 9 and 10. Chapter 1l explores
the effect of modulations on error-correcting codes. a half-year course in
digital modulation could focus on Chapters 1-5 and 7, with other topics
chosen to suit the instructor's taste a shorter more theoretical course could
feature Chapters 2-4.
In writing this book, we have attempted to give some idea of the
historical development of the subject, but we have not performed a rigorous
literature search and we apologize to the many contributors to the field who
have not been referenced by name We are deeply indebted to our colleagues
and co-workers at McMaster University in Canada the University of lund
and Chalmers Technical University in Sweden, and rensselaer Polytechnic
Institute in the U.S.A., and to our industrial co-workers at INTELSAT,
AT&t--Bell Laboratories(U. S. A ), the General Electric(U.S.A )Corpor
ate Research and Development Center, Codex Corporation (U.S. A
Ericsson Radio Systems(Sweden), and the European Space Agency Of
this large body of co-workers we must give special mention to Rudi de
Buda, Nils Rydbeck, Arne Svensson, and Goran Lindell. It is a special
pleasure to acknowledge the typing services of Doris Glock, Constance
Brough, Inga-Britt Holmdahl, Annette Laiacona, and Sandi-jo Rumsey and
the patience and guidance of our editor, L S Marchand. Certain government
agencies were instrumental in the support of the new research in the book;
these were the Swedish Board of Technical Development (STU) and the
Natural Sciences and Engineering Research Council of Canada
j B. Anderson
Troy, New York
T. Aulin
Goteborg, Sweden
C.-E. Sundberg
Holmdel, New Jersey
Contents
Chapter 1. Introduction
1.1. Why Digital Transmission?
1.2. Some Basic Digital Channels
1.3. Some Digital Channel Concepts
1.4. A Brief Histor
1.5. Organization of the Book
References ....
Chapter 2. Signal analysis and an overview of Modulation Methods 15
2. 1. Receiver Principles for Gaussian Noise
15
2.1.1. The Maximum Likelihood receiver
15
2. 1. 2. Probability of Error
20
2. 2. Phase Modulated Signals
22
2. 1. PSK and FSK
2. 2. A Notation for Continuous Phase Modulations
25
2.2.3. Euclidean Distance for Phase modulations
2.3. Examples of error Probability Calculations
28
2.4. Baseband Receiver and Transmitter Models
31
2.5. The Linear Receiver
35
2.5. 1. Intersymbol Interference and the receiver eye
2.5.2. Channel Filter Effects on MSK and PSK
38
2.6. Nyquist-Pulse-Shaped PSK
2.6. 1. Nyquist-Pulse PSK
41
2.6.2. Raised Cosine Nyquist Pulses
45
2.7. A Summary of Modulation Methods
2.7. 1. Quadrature Modulation Schemes
·申
48
2.7.2. CPM Schemes
References
Chapter 3. Error Performance
3. 1. System Definition...........
3. 2. Bounds on the minimum Euclidean Distance
3. 2.1. Full Response, H =1
3.2.2. Partial Response, H=1
71
3. 2.3. Full Response, Multi-h
79
3.2. 4. Partial Response, Multi-h.......
87
3. 2.5. Summary......
3,3. The Minimum Euclidean Distance
3. 3. 1. Full Response, H= 1
3.3. 2. Partial Response, H
··酯
96
3.3.3. Full Response, Multi-h
105
3.3.4. Partial Response, Multi-h
106
3.3.5. Summary ...
3. 4. Systems with a Trellis Structure
111
3.4. 1. A State Description for Modulators...........
111
3.4.2. Transfer Function Symbol Error Probability bounds
114
343. Summary∴….…
122
3.5. Effects of Filtering and Limiting
123
3.5. 1. The Euclidean Distance for Mismatched Signal Sets
123
3.5.2. Effects of Filtering
126
3.5.3. Effects of Filtering and Hard Limitation
136
3.5.4. Summary
143
3.6. Conclusions
14
References...
··非
144
Chapter 4. Spectral Performance
147
4. 1. Review of Spectral Calculation Methods
147
4.2. A Simple, Fast, and Reliable General Numerical Method
149
4.2.1. Derivation of the method
4. 2.2. Numerical Results
154
4.2.3. Generalizations
161
4.2. 4. Summary of the autocorrelation Function Method
16
4.3. Closed Form Expressions for Some Simple Schemes
4.4. Asymptotic and Related Behavior of Spectra
168
4.5. Effects of Filtering and Amplitude limitation
173
eferences
179
Chapter 5. Energy-Bandwidth Comparisons and Shannon Theory for
Phase Modulation
181
5.1. Energy and Bandwidth Comparison of Concrete Modulation Systems
5.2. Basic Ideas of the Shannon theory
186
5.2.1. The Shannon Model of Information Transmission
5. 2.2. Capacity
190
5.3. AWGN Channel Capacity and the Phase Modulation Channel
5.2.3. Bandwidth and dimensionality
194
5.3. 1. AWGN Channel Capacity.........
194
5.3.2.. a Phase Modulation Channel Model
195
Contents
5.4. The Cutoff Rate for Phase Modulation Channels
199
5.5. Numerical Results for Ro........
202
5.6. Energy-Bandwidth Plots Derived from Ro
2
References
Chapter 6. Transmitters
211
6.1. Read Only Memory Implementations.......
212
6. 1. ROM Transmitter Theory
213
6. 1.2. Practical Considerations for roM Transmitters
216
6.2. Phase-Locked Loop Implementations
224
6.3. Bandpass Filter and hard-Limiter implementation
227
6. 4. Serial and Parallel msK transmitters
231
6.5. Conclusions
23
References
单。·,··
,·D·。···
234
Chapter 7. Receivers
237
7. 1. Optimum Coherent and noncoherent Receivers for CPFSK
7. 1. 1. Optimum ML Coherent Receiver for CPFSK............ 238
7.1.2. Optimal Ml Noncoherent Receiver for CPFSK
242
7. 2. Optimum Viterbi Receivers
,,.246
7.3. Implementation of the Viterbi Algorithm for CPM
252
7.4. Performance Simulation....
255
7.4.1. Simulating Channel Noise
。·非··,,非鲁非申非非,垂,
257
7.4.2. Realization of the Viterbi Algorithm and Numerical Results
259
7.5. Analysis of Simple Noncoherent Receivers
7.5. 1. Differential Detection
263
7.5.2. Discriminator Detection
269
7.5.3. Numerical Results
271
7.5.4. Application of Sequence Detection
275
References
276
Chapter 8. Simplified Receivers
8.1. Reduced Complexity Viterbi Detectors
279
8.1.1. The Complexity Reduction Concept
280
8.1.2. The Performance Measure
282
8.1.3. Properties of the Minimum Euclidean Distance for Mismatched Signal
Sets
285
3.1.4. Optimizing the reduced-Complexity Receiver
8. 1.5. Numerical Results
289
8.1.6. Summary and Tradeoff between Complexity Reduction and Performance
294
8.2. MSK-Type Receivers........
295
8.2. 1. Receiver Principle and Performance
296
8.2.2. The Optimum Receiver Filter
300
8.2.3. Numerical Results
305
8.2. 4. Discussion and comparisons
309
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