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Detection, Estimation, and Modulation Theory, Optimum Array Processing

2017-03-22 
Well-known authority, Dr. Van Trees updates array signal processing for today's technologyThis is th
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Detection, Estimation, and Modulation Theory, Optimum Array Processing

Well-known authority, Dr. Van Trees updates array signal processing for today's technologyThis is the most up-to-date and thorough treatment of the subject availableWritten in the same accessible style as Van Tree's earlier classics, this completely new work covers all modern applications of array signal processing, from biomedicine to wireless communications

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I have a unique perspective on this book because I was a student in Dr VanTree's classes at George Mason prior to the book's official publication. I'm biased and consider myself privileged to be so. Having taken classes from other notable researchers in the subject over the years, the essential feature of this book is that it starts at the BEGINNING. One is grounded in classical shading techniques prior to moving on to optimal and then adaptive techniques. One develops a habit of plotting the pattern and looking at the white noise gain. The strength of the book is the way the material is organized. This book is intended to provide the grounding necessary to move onto more advanced topics. It is not the latest results. There are many more current topics such as blind estimation and MIMO that are not treated here. No single book will ever completely cover this topic. It is good to keep a copy of Dudgeon and Johnson nearby when reading this book. One of the unique aspects of this book is the problem sets. Many of the problems do not have a straightforward unique solution. This is intentional because this is what an engineer will encounter in their career. I recall asking a question in class and Van Trees responding "That's a good question, I need to write that down" and then unfazzed, he continued on with the lecture. This makes the book challenging. If you are a teacher, you need to work out the problems before you assign them.

IMHO, array processing is a very large field and there are many who know a great deal about very little. This book provides a base of knowledge that other books and particularly the literature assume the reader already knows. This book makes the topic much more approachable. It's not an easy book. It's not an easy topic.

This book is the fourth book in Dr van Trees' series "Detection, Estimation, and Modulation Theory". It relies extensively on volumes I and III (but not volume II), and the reader of volume IV will want to have volumes I and III available.
As for the book itself, it is BIG. For some reason, it gives the impression of being somewhat inflated. I can't pinpoint the exact reason for this, but I suspect it must have something to do with the relation between font size and paper size. The publishers claim there are 2000 references in the book. This may very well be true, as the bibliographies after each chapter generally are 10 to 15 pages long. Unfortunately, there is no overall bibliography in the book. While such a bibliography would inflate the book by somewhere between 100 and 150 pages (it is ~1500 pages in the current version), I think it would be worth adding it.
What the contents is concerned, it is a definite academic angle on the material and the presentation. The practitioner may want to pay attention to the fact that the book title is "_Optimum_ Array processing", not "_Practical_ Array Processing". The "Multiple Signal Classification" (MUSIC) method and "Estimation of Signal Parameters via Rotational Invariant Techniques" (ESPRIT) algorithm are discussed extensively in the later chapters, but some details that turn out to be cruical when putting these methods to practical use appear to be missing in this book. The very motivation for developing the ESPRIT algorithm is that the MUSIC algorithm is extremely sensitive to array calibration data, i.e. that the array calibration matrix must be known with very high presicion. The inventors of ESPRIT, Roy and Kailath, pay meticulous attention to this problem in their journal articles (which are cited by van Trees). The problem of lacking array calibration data has indeed spawned an entire research field known as "blind source estimation". This is not mentioned at all in this book.
The second issue I would like to point out is that alternative, SUBoptimum array processing techniques are very breafly commented in section 9.4 (which all in all is half a page long). I find one sentence in that section somewhat annoying:
"We found that, for estimating the [Direction of Arrivals] of plane-wave signals the [suboptimum] algorithms did not perform as well as MUSIC and ESPRIT"
and then the author defer from discussing these algorithms further. I am sure this decision can be defended from the point of view that the scope of the book is optimum array processing. However, I would like to see how the author tests the suboptimum methods, how they perform, and what he bases his conclusions on. There is a vast difference between tests with synthetic data, generated by the computer, and working with data measured in the real world. My experience from working with real-world data from short arrays at low signal-to-noise ratios, is the exact opposite: The optimum algorithms work bad, if at all, while suboptimum algorithms do the job.
All in all, this book gives an as complete overview of the state-of-the-art in array processing as practically possible by one man to give in one volume. There are a couple of shortcommings, though. If this book was written by any other author and was published in any other series, it would be a clear five-star. However, Dr van Trees has, with his "Detection, Estimation, and Modulation Theory" series, established himself as perhaps _the_ authority in the field, and therefore I believe this book should be measured by somewhat stricter standards. Thus the four stars.

It was a great pleasure for me to discover this book after having tried to read several other books on the subject. The explanations and mathematics are crystal clear and anyone but the most indolent should have a great pleasure in the detail and effort put behind this book. As one example, I have looked for an explanation of the theory behind Dolph-Chebychev windows. This was clearly and simple described, so the reader has a chance to understand (and remember!) the material, instead of just jotting down many equations of various unknown origin. A great many array geometries, methods and techniques are considered and explained in detail. All in all, a lot of information I only wish, I had available several years ago.

For the serious reader I have found no comparable book on the subject.

For the beginnner, "adaptive signal processing" by Widrow may be more appropriate.

I cannot imagine that this book has been written by Van Trees. I was a fan of him after studying his 1st and third volumes during my MSc, but taking a course on Array Signal Proc. and Adaptive Array Sig. Proc. in the next one, i was ehgulfed in mathematics and only mathematics, with no intuitional background at all. The author only has given mathematics, not have grip on the theoretical concepts or may be he has failed to convey them. I will never tell anybody about this book for this course, its for sure.

Engr. Hasan Noor Khan.

M.Sc. Electronics & Communication Engg.

B.Sc. Electrical Engg.

Love this book! I'm biased as I took this class with Dr. Van Trees, but it is a very detailed book on array processing. Because this book has been around for a while I would consider it a book on classical techniques. For a book that goes into more modern direction finding algorithms, I would recommend Classical and Modern Direction-of-Arrival by Tuncer and Friedlander.

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