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Fundamentals of Statistical Signal Processing, Volume II: Detection Theory Hardcover – February 6, 1998

ISBN-13: 007-6092032243 ISBN-10: 013504135X Edition: 1st

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Editorial Reviews

From the Inside Flap

Preface

This text is the second volume of a series of books addressing statistical signal processing. The first volume, Fundamentals of Statistical Signal Processing: Estimation Theory, was published in 1993 by Prentice-Hall, Inc. Henceforth, it will be referred to as Kay-I 1993.

This second volume, entitled Fundamentals of Statistical Signal Processing: Detection Theory, is the application of statistical hypothesis testing to the detection of signals in noise. The series has been written to provide the reader with a broad introduction to the theory and application of statistical signal processing. Hypothesis testing is a subject that is standard fare in the many books available dealing with statistics.

These books range from the highly theoretical expositions written by statisticians to the more practical treatments contributed by the many users of applied statistics.

This text is an attempt to strike a balance between these two extremes. The particular audience we have in mind is the community involved in the design and implementation of signal processing algorithms. As such, the primary focus is on obtaining optimal detection algorithms that may be implemented on a digital computer. The data sets are therefore assumed to be samples of a continuous-time waveform or a sequence of data points. The choice of topics reflects what we believe to be the important approaches to obtaining an optimal detector and analyzing its performance.

As a consequence, some of the deeper theoretical issues have been omitted with references given instead. It is the author's opinion that the best way to assimilate the material on detection theory is by exposure to and working with good examples. Consequently, there are numerous examples that illustrate the theory and others that apply the theory to actual detection problems of current interest.

We have made extensive use of the MATLAB scientific programming language (Version 4.2b) Footnote: MATLAB is a registered trademark of The MathWorks, Inc. for all computer-generated results. In some cases, actual MATLAB programs have been listed where a program was deemed to be of sufficient utility to the reader.

Additionally, an abundance of homework problems has been included. They range from simple applications of the theory to extensions of the basic concepts. A solutions manual is available from the author. To aid the reader, summary sections have been provided at the beginning of each chapter. Also, an overview of all the principal detection approaches and the rationale for choosing a particular method can be found in Chapter 11.

Detection based on simple hypothesis testing is described in Chapters 3--5, while that based on composite hypothesis testing (to accomodate unknown parameters) is the subject of Chapters 6--9.

Other chapters address detection in nonGaussian noise (Chapter 10), detection of model changes (Chapter 12), and extensions for complex/vector data useful in array processing (Chapter 13). This book is an outgrowth of a one-semester graduate level course on detection theory given at the University of Rhode Island. It includes somewhat more material than can actually be covered in one semester. We typically cover most of Chapters 1--10, leaving the subjects of model change detection and complex data/vector data extensions to the student. It is also possible to combine the subjects of estimation and detection into a single semester course by a judicious choice of material from Volumes I and II.

The necessary background that has been assumed is an exposure to the basic theory of digital signal processing, probability and random processes, and linear and matrix algebra. This book can also be used for self-study and so should be useful to the practicing engineer as well as the student.

The author would like to acknowledge the contributions of the many people who over the years have provided stimulating discussions of research problems, opportunities to apply the results of that research, and support for conducting research.

Thanks are due to my colleagues L. Jackson, R. Kumaresan, L. Pakula, and P. Swaszek of the University of Rhode Island, and L. Scharf of the University of Colorado.

Exposure to practical problems, leading to new research directions, has been provided by H. Woodsum of Sonetech, Bedford, New Hampshire, and by D. Mook and S. Lang of Sanders, a Lockheed-Martin Co., Nashua, New Hampshire.

The opportunity to apply detection theory to sonar and the research support of J. Kelly of the Naval Undersea Warfare Center, J. Salisbury, formerly of the Naval Undersea Warfare Center, and D. Sheldon of the Naval Undersea Warfare Center, Newport, Rhode Island are also greatly appreciated.

Thanks are due to J. Sjogren of the Air Force Office of Scientific Research, whose support has allowed the author to investigate the field of statistical signal processing. A debt of gratitude is owed to all my current and former graduate students. They have contributed to the final manuscript through many hours of pedagogical and research discussions as well as by their specific comments and questions. In particular, P. DjuriÕ{c} of the State University of New York proofread much of the manuscript, and S. Talwalkar of Motorola, Plantation, Florida proofread parts of the manuscript and helped with the finer points of MATLAB.

Steven M. Kay University of Rhode Island Kingston, RI 02881 Email: kay@ele.uri

From the Back Cover

The most comprehensive overview of signal detection available.

This is a thorough, up-to-date introduction to optimizing detection algorithms for implementation on digital computers. It focuses extensively on real-world signal processing applications, including state-of-the-art speech and communications technology as well as traditional sonar/radar systems.

Start with a quick review of the fundamental issues associated with mathematical detection, as well as the most important probability density functions and their properties. Next, review Gaussian, Chi-Squared, F, Rayleigh, and Rician PDFs, quadratic forms of Gaussian random variables, asymptotic Gaussian PDFs, and Monte Carlo Performance Evaluations.

Three chapters introduce the basics of detection based on simple hypothesis testing, including the Neyman-Pearson Theorem, handling irrelevant data, Bayes Risk, multiple hypothesis testing, and both deterministic and random signals.

The author then presents exceptionally detailed coverage of composite hypothesis testing to accommodate unknown signal and noise parameters. These chapters will be especially useful for those building detectors that must work with real, physical data. Other topics covered include:

  • Detection in nonGaussian noise, including nonGaussian noise characteristics, known deterministic signals, and deterministic signals with unknown parameters
  • Detection of model changes, including maneuver detection and time-varying PSD detection
  • Complex extensions, vector generalization, and array processing

The book makes extensive use of MATLAB, and program listings are included wherever appropriate. Designed for practicing electrical engineers, researchers, and advanced students, it is an ideal complement to Steven M. Kay's Fundamentals of Statistical Signal Processing, Vol. 1: Estimation Theory (Prentice Hall PTR, 1993, ISBN: 0-13-345711-7).

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Product Details

  • Hardcover: 672 pages
  • Publisher: Prentice Hall; 1 edition (February 6, 1998)
  • Language: English
  • ISBN-10: 013504135X
  • ISBN-13: 978-0135041352
  • Product Dimensions: 6.7 x 1.2 x 10.4 inches
  • Shipping Weight: 2.6 pounds (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #367,691 in Books (See Top 100 in Books)

Customer Reviews

Signal estimation is well broken down in to parts.
Maduranga
I have no doubts the text material is great and will be valid for a long time but I am sure the paper will not last even a few months.
HMR
This book does a very good job at explaining concepts and it is pretty easy to follows.
zentriton

Most Helpful Customer Reviews

10 of 10 people found the following review helpful By Christopher P. Carbone on April 12, 2001
This book presents the fundamental ideas in detection theory (Hypothesis testing for you math types) in a very accessible way. It was one of the few textbooks I could read without feeling like I should be taking a class to go along with it. First the book starts off with a short chapter explaining what detection theory is. This chapter is so well written and illustrated that I've used it to explain to my friends what it is I do at work. This type of very good introduction is repeated at the start of each chapter. But I would have to say the strength of the book is in the examples. All the main ideas are demonstrated by examples that have been worked out in detail. There are several of these worked out examples per chapter and they range form simple, to the kinds of problems you may face in real life. I keep this book on my desk at work, and on more than on occasion I looked liked a genius by using this book and it's examples to solve a problem in minuets that looked like it would take hours (or days).
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11 of 13 people found the following review helpful By A Customer on March 24, 1999
I am an undergraduate senior using this book for a graduate-level Detection & Estimation Theory course. This is an excellent book and is very easy to follow, unlike Poor's which is too mathematical and hard too read. However, this book does make many references to Vol. 1, the Estimation Theory, so you almost have to get both books to get a full understanding. Also, some of the problems are not always workable based on the theory given. Overall, though, I do recommend this book.
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4 of 5 people found the following review helpful By Marco Antonio Pulido on November 18, 1999
Steven Kay has done a superb job. His coverage of different aspects of estimation theory make this book an excellent reference for the working engineer, as well as a great college textbook. All the topics are well covered, there are meaningful examples that apply the theory to different aspects of signal processing, and the problem sets are very useful. Also, the addition of small appendixes to the end of some chapters is very unique. They usually contain additional material to clarify a method presented in the chapter or discuss some mathematical result. A book that can balance theory with practical applications is not easy to find, especially in a difficult area like statistical signal processing. This is the ultimate guide to estimation theory and its applications.
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1 of 1 people found the following review helpful By Gencheng Guo on May 2, 2008
It is a nice book about signal detection. The content is well organized. It combines application with theory and put complex theoretical staff in appendix so it is easy to follow. In particular, I like the beautiful language in this book.
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By J.C. on December 8, 2013
Verified Purchase
The text includes the perfect balance of theory and practice. As a CTBT monitoring seismologist, I use this text more than similar text on the subject. Examples include both very simple cases (a constant plus noise) to very complicated examples (subspace detectors, signal jamming, sonar with unknown range, frequency, amplitude). The generalized likelihood ratio and Neyman Pearson decision rule are employed in several cases. The text includes less regarding Bayesion decision rules, but these are employed less in monitoring practice.

The appendices include the proofs of several theorems. They are detailed, and great for evaluating your understanding of the material. Proofs are invaluable for stretching your thinking and only enhance your understanding of the practical aspects, too.

This book works great with Vol I on Estimation Theory, which it references for maximum likelihood estimates of unknown parameters. I haven't yet checked out Vol III on Practical Algorithm development, but I bet it is as good as the first two.
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By Maduranga on December 1, 2007
An amazingly well organized and well written book. Signal estimation is well broken down in to parts. Every theory discussion is followed with an example, which make sure you completely understand it. Not many books out there have examples illustrating the theoretical discussions, which in my opinions makes this book stand out from the rest.
The book thrives on simplicity in its discussions, which doesnt mean this is a book for beginners. Just that this book can be used from beginners to advanced users if you want to clearly understand the theory and derivations. Highly recommend the book.
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Fundamentals of Statistical Signal Processing, Volume II: Detection Theory
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