Review of 'Detection, Estimation, and Modulation Theory, Part II...
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IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-18, NO.
4,
JULY
1972
Book Reviews
Detection, Estimation, and Modulation Theory, Part III-Radar-Sonar
Signal Processing and Gaussian Signals in Noise-Harry L. Van Trees
(New York: Wiley, 1971, xvii + 626 pp., $24.95).
JOHN B. THOMAS
~ In this third of four projected volumes, Van Trees returns to his
main theme, interrupted in volume 2, the detection and estimation of
signals in Gaussian noise. As previously discussed [l], volume 1 may be
considered as an extremely readable introduction to detection,
estimation, linear filtering, and demodulation in the context of classical
statistical communication theory. Thus volume 1 is most suitable as a
textbook for an introductory graduate course in statistical communica-
tion theory. On the other hand [2], volume 2 is a detailed treatment of
the relatively specialized topic of the optimal demodulation of angle-
modulated signals in additive white Gaussian noise.
In this volume, Van Trees has managed to retain the clarity and
readability of his previous works while producing a combination of
textbook and research monograph.
The text begins with a preface and an introductory chapter designed
to inform the reader of the contents of this volume and the prerequisites
for its study. These latter are listed by the author as chapters 4 and 6
of volume 1. From a practical point of view, however, a reader should
be familiar with all of volume 1. The next six chapters, consisting of
approximately 230 pages, gives a classical treatment of the detection
and estimation of random signals in additive Gaussian noise. Charac-
teristically, Van Trees begins slowly by considering the white-noise
case in some detail in chapter 2. Also typically, he emphasizes block
diagram representations of both realizable and unrealizable optimal
detectors. Chapters 3-7 continue the development, which culminates
in chapter 7 where the most commonly encountered special estimation
problems are treated, including a very few remarks on multiple-
parameter estimation and composite-hypothesis tests.
Chapter 8 is an introduction to the remaining 400 pages of the book
where the radar-sonar problem receives extensive treatment, again for
additive Gaussian noise. Certainly, this section must be considered as
one of the major contributions, if not the major contribution, of the
first three volumes. Van Trees has presented a broad-based, well
organized, and tightly logical exposition of one of the principal
applications of modern statistical design techniques. It does not appear
to this reviewer that this material is available anywhere else at the
uniform level of excellence and in the depth presented here. Chapters
9-13 consider slowly fluctuating point targets and Doppler-spread,
range-spread, and doubly spread targets and channels. Chapter 14 is a
short summary of the last two-thirds of this volume and a survey of
volume 4, which will be published by Wiley Interscience. The book
concludes with a long appendix on the complex envelope representation
of signals and with the usual complete glossary of conventions,
abbreviations, and symbols.
This book is probably worth buying for the problems alone, of which
there are approximately 450, believe it or not! These range from
routine to very difficult, with emphasis on the latter. My comments [2]
on the problems in volume 2 are equally valid here and, as Van Trees
suggests (p. ix), it is a good idea to work them before assigning them.
As in volume 2, he promises a solution manual in the future. This
solution manual should be at least as valuable as the book itself. As
befits a research-oriented book, this volume also contains a large
number of references, approximately 375. Most of these are carefully
selected and most are mentioned in the text in such a way as to guide
the beginner into the proper literature.
It is hard at this point in such an enthusiastic review to introduce a
word of criticism and perhaps criticism is not really the correct word
for the following comments. It must be said, however, that, although
the subject matter of this volume is not narrow, it is nevertheless
restricted. Adaptive systems receive half a page, non-Gaussian noise a
page and a half, and no mention is made of sequential or non-
parametric methods. Given the author’s goals, his leisurely style, and a
practical upper limit on the size and cost of the book, the omissions
seem reasonable or, at least, understandable.
As already implied, for a typical course on detection and estimation
of more than one quarter’s length, both volumes 1 and 3 will be
required. The cost is substantial but the books are worth the money,
although it may be difficult to convince some students of this.
REFERENCES
[l] Review by R. A. Scholtz of
Detection, Estimation, and Modulation Theory, Part I,
H. L. Van Trees,
IEEE Trans. Inform. Theory, vol.
IT-14, pp. 612-613, July 1968.
[21
Review by
J.
B. Thomas of
Detection, Estimation, and Modulation Theory, Part II,
H. L. Van Trees,
IEEE Trans. Inform. Theory,
vol. IT-18, p. 450, May 1972.
John B. Thomas (S’52-M’56-SM’6O-F’65), for a biography please see
page 450
of
the May 1972 issue
of
this
TRANSACTIONS.
BOOKS RECEIVED
Compiled by Andrew J. Viterbi
Adaptation and Learning in Automatic Systems, Ya. Z. Tsypkin,
transl. Z. J. Nikolic (New York: Academic Press, 1971, 312 pp.,
$16.50).
Algorithms, Graphs, and Computers, Richard Bellman (New York:
Academic Press, 1970, 246 pp., $9.75). Elementary level book on
operations research, dynamic programming, and graph theory.
Coding Theory, Jacobus H. van Lint (New York: Springer-Verlag,
1971, 136 pp., $4.60). To be reviewed.
Computational Methods in Optimization: A Unified Approach, E. Polak
(New York: Academic Press, 1971, 342 pp., $17.50). Theory of con-
vergence, synthesis, and computational efficiency of optimization
algorithms.
Estimation Theory with Applications to Communications and Control,
Andrew P. Sage and James L. Melsa (New York: McGraw-Hill,
1972, 752 pp., $16.50).
Information and Coding Theory, Franklin M. Ingels (Scranton, Pa.:
Intext Educational Publishers, 1971, 229 pp.). Elementary information
theory text augmented by badly digested and inaccurately presented
coding material extracted partly from tutorial review articles.
Markov Processes: Structure and Asymptotic Behavior, Murray
Rosenblatt (New York: Springer-Verlag, 268 pp., $19.70).
Random Data: Analysis and Measurement Procedures, Julius S. Bendat
and Allan G. Piersol (New York: John Wiley, 1971,407 pp., $18.50).
Stochastic Processes and Filtering Theory, Andrew H. Jazwinski
(New York: Academic Press, 1970, 376 pp., $18.50).
System Identification, Andrew P. Sage and James L. Melsa (New York:
Academic Press, 1971, 238 pp., $13.50).
Systems Analysis for Data Transmission, James Martin (Englewood
Cliffs, N.J. : Prentice-Hall, 1972, 784 pp.). User-oriented system design
handbook.
Theory of Machines and Computations, Zvi Kohavi and Azaria Paz,
Eds. (New York: Academic Press, 1971, 430 pp., $12.50). Papers
presented at the International Symposium on the Theory of Machines
and Computations, Haifa, Israel, 1971.
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