Information Theory

Front Cover
Courier Corporation, 1990 - Computers - 339 pages
1 Review
Developed by Claude Shannon and Norbert Wiener in the late Forties, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.
Designed for upper-level undergraduates and first-year graduate students, the book treats three major areas: analysis of channel models and proof of coding theorems (Chapters 3, 7 and 8); study of specific coding systems (Chapters 2, 4, and 5); and study of statistical properties of information sources (Chapter 6). Among the topics covered are noiseless coding, the discrete memoryless channel, error correcting codes, information sources, channels with memory and continuous channels.
The author has tried to keep the prerequisites to a minimum. However, students should have a knowledge of basic probability theory. Some measure and Hilbert space theory is helpful as well for the last two sections of Chapter 8, which treat time-continuous channels. An appendix summarizes the Hilbert space background and the results from the theory of stochastic processes necessary for these sections. The appendix is not self-contained, but will serve to pinpoint some of the specific equipment needed for the analysis of time-continuous channels.
In addition to historic notes at the end of each chapter indicating the origin of some of the results, the author has also included 60 problems, with detailed solutions, making the book especially valuable for independent study.
  

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Contents

I
1
II
5
III
12
IV
16
V
21
VI
24
VII
27
VIII
28
XXXII
134
XXXIII
138
XXXIV
147
XXXV
156
XXXVI
161
XXXVII
163
XXXVIII
169
XXXIX
172

IX
33
X
35
XI
36
XII
40
XIII
43
XIV
46
XV
49
XVI
53
XVII
60
XVIII
63
XIX
77
XX
80
XXI
83
XXII
87
XXIII
89
XXIV
91
XXV
95
XXVI
105
XXVII
110
XXVIII
113
XXIX
124
XXX
126
XXXI
127
XL
184
XLI
189
XLII
195
XLIII
206
XLIV
211
XLV
215
XLVI
219
XLVII
223
XLVIII
227
XLIX
230
L
231
LI
236
LII
243
LIII
250
LIV
256
LV
260
LVI
269
LVII
275
LVIII
281
LIX
291
LX
335
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About the author (1990)

University of Illinois, Urbana-Champaign

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