Originally published in 1968, Harry Van Trees's Detection, Estimation, and Modulation Theory, Part I is one of the great time-tested classics in the field of signal processing. Highly readable and practically organized, it is as imperative today for professionals, researchers, and students in optimum signal processing as it was over thirty years ago. The second edition is a thorough revision and expansion almost doubling the size of the first edition and accounting for the new developments thus making it again the most comprehensive and up-to-date treatment of the subject.

With a wide range of applications such as radar, sonar, communications, seismology, biomedical engineering, and radar astronomy, among others, the important field of detection and estimation has rarely been given such expert treatment as it is here. Each chapter includes section summaries, realistic examples, and a large number of challenging problems that provide excellent study material. This volume which is Part I of a set of four volumes is the most important and widely used textbook and professional reference in the field.

"Once again, Harry Van Trees has written the definitive textbook and research reference."
–Norman L. Owsley
Office of Naval Research, IPA University of Rhode Island

A comprehensive treatment of optimum array processing

Array processing plays an important role in many diverse application areas, including radar, sonar, communications, seismology, radio astronomy, tomography, and cellular communications.

Optimum Array Processing gives an integrated presentation of classical and statistical array processing. Classical analysis and synthesis techniques for linear and planar arrays are developed. A statistical characterization of space-time random processes is provided. Many different aspects of optimum array processing are covered, including waveform estimation, adaptive beamforming, parameter estimation, and signal detection. Both plane-wave signals and spatially spread signals are studied, and all results are developed in a pedagogically sound manner.

This book provides a fundamental understanding of array processing that is ample preparation for research or implementation of actual array processing systems. It provides a comprehensive synthesis of the array processing literature and includes more than 2,000 references. Readers will find an extensive variety of models and criteria for study and comparison, realistic examples and practical applications of optimum algorithms, challenging problems that expand the book’s material, and detailed derivations of important results. A supplemental Web site is available that contains MATLAB scripts for most of the figures used in the book so readers can explore diverse scenarios.

The book uses results from Parts I and III of Detection, Estimation, and Modulation Theory. These two books have been reprinted in paperback for availability.

For students in signal processing or professionals looking for thorough understanding of array processing theory, Optimum Array Processing provides authoritative, comprehensive coverage in the same clear manner as the earlier parts of Detection, Estimation, and Modulation Theory.

The respected classic, now in a handy paperback edition

Originally published in 1971, Harry Van Trees’ Detection, Estimation, and Modulation Theory, Part II is one of the classic references in the area of nonlinear modulation theory and analog communication. Highly readable and well organized, it is as valuable today for professionals, researchers, and students interested in the estimation of continuous waveforms as it was over thirty years ago.

Part II focuses on the problem of finding the optimum estimate of a waveform which is embedded in a signal in a nonlinear manner. The following topics are covered in detail:

• Bayesian Cramér-Rao bound on the mean-square estimation error
• Optimum demodulators for frequency-modulation systems
• Phase estimation: the synchronization problem
• Fokker-Planck techniques for nonlinear analysis in the presence of noise
• Optimum angle-modulation systems
• Rate distortion bounds for analog message transmission
• Analog communication over randomly time-varying channels
• State variable analysis procedures

For students in signal processing or professionals looking for a reliable refresher on waveform estimation, Detection, Estimation, and Modulation Theory, Part II provides authoritative, practical coverage by one of the most renowned figures in the field. Although most current systems are implemented digitally, the bounds on performance developed in Part II are still applicable.

The respected classic, now in a handy paperback edition

Originally published in 1968, Harry Van Trees’s Detection, Estimation, and Modulation Theory, Part III is one of the great time-tested classics in the field of signal processing. Highly readable and practically organized, it is as imperative today for professionals, researchers, and students in optimum signal processing as it was over thirty years ago.

Part III focuses on radar-sonar signal processing and Gaussian signals in noise. The following topics are covered in detail:

• Detection of Gaussian signals in white Gaussian noise
• General binary detection: Gaussian processes
• Estimation of the parameters of a random process
• The radar-sonar problem
• Parameter estimation: slowly fluctuating point targets
• Doppler-spread targets and channels
• Range-spread targets and channels
• Doubly-spread targets and channels

The results are still largely applicable to current systems.

For students in signal processing or professionals looking for a reliable refresher course, Detection, Estimation, and Modulation Theory, Part III provides authoritative, practical coverage by one of the most renowned figures in the field. Part III also provides necessary background for Optimum Array Processing, Part IV of Detection, Estimation, and Modulation Theory.