Probability Distributions Involving Gaussian Random Variables (Mīkstie vāki)

This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling.

• Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume.
• Concise compilation of disparate formulae saves time in searching different sources
• Focused application has broad interest for many disciplines: engineers, computer scientists, statisticians, physicists; as well as any researcher working in probabilistic and stochastic analysis and modeling in the natural or social sciences.
• The material is timeless and has intrinsic value to todaya (TM)s and tomorrowa (TM)s practicing engineers and scientists
• Endorsed by top experts in field worldwide, ensuring quality and value

Excerpts from reviews of the hardbound edition:

The reference book "Probability Distributions Involving Gaussian Random Variables," authored by Dr. Marvin Simon, has become, in a very short time frame, one of the most useful aids to research in the field of digital communications that has come out in many years. It has replaced various other well known resources because of its concentration of relevant, timely, and easily accessible results. a "Dr. Larry Milstein, UCSD

This is a unique book and an invaluable reference for engineers and scientists in the fields of electrical engineering, mathematics and statistics. There is no other single reference book that covers Gaussian and Gaussian-related distributions of random variables that are encountered in research work and practice. This is a reference book that I recommend to all my graduate students working in the area of telecommunication system analysis and design. a "Dr. John Proakis, Northeastern University and UCSD

a ] this book collected all these results (after double-checking them) with unified notations and in an organized fashion made it very useful for many of the graduate students and researchers doing analytical type of investigations. Not only did I use it, I also recommend it to my graduate students and many of our papers benefited from the formulas available in the handbooka ]. The handbook saves valuable time for all the researchers that rely on it to simplify their results or write them in terms of well-known functions that are available in popular mathematical packages such as Matlab and Mathematica. a "Dr. Mohamed-Slim Alouini, Texas A&M University

The distributions and associated statistics described in the book apply to systems like mobile and cellular communications, vehicular technology, radar systems, spread spectrum systems, and optical communication systems. The book, with its comprehensive information in analytical, tabular, and graphical form, is an invaluable tool for scientists and engineers. a "Dr. Sergio Benedetto, Politecnico di Torino

The book "Probability Distributions Involving Gaussian Random Variables" is a handy research reference in areassuch as communication systems. I have found the book useful for my own work, since it presents probability distributions that are difficult to find elsewhere and that have non-obvious derivations. a "Dr. Gordon StA1/4ber, Georgia Institute of Technology

A unique and invaluable reference for researchers in communications, signal processing, math, statistics, and many other scientific fields. I have used this book in my own research and also recommended it to colleagues in universities and in industry, as well as to graduate students. a "Dr. Andrea Goldsmith, Stanford University

In my research in wireless communications, I have often found that I can get all the mathematical forms and material that I need from one source, where before I had to consult five or six references to get the complete information. There are a small number of reference works that have proved so invaluable that I have purchased a home copy in addition to my office copy. This handbook is one of them. a "Dr. Norman C. Beaulieu, University of Alberta

Our research Group at the University of Canterbury is engaged in both theoretical and experimental work on advanced wireless communications systems. We have found that the book by Simon, "Probability Distributions Involving Gaussian Random Variables" is an indispensable and often used reference for this work. We do significant amounts of analysis involving Gaussian statistics and quadratic forms. The book is the one source that brings almost all of the necessary background material together in a readily usable form and is thus an extremely valuable reference. a "Dr. Desmond P. Taylor, University of Canterbury

Dr. Simon's book is by far the mostcomprehensive compilation of Gaussian probability distributions and their associated statistics - in fact to my knowledge this is the only book of its type in publication now. This handbook is a much needed and most welcome entry to the toolbox of any engineer or scientist. For those working in digital and wireless communications, signal and image processing, pattern recognition, and many other technical fields, the text is absolutely essential. a "Payman Arabshahi, Applied Physics Laboratory

As a researcher and teacher in the digital communication theory area for the last forty years, I can state that Simona (TM)s book contains materials in his ten chapters and appendices most relevant to researchers and developers of modern communication systems. These sophisticated Gaussian related expressions are needed in the analysis, design, and optimization of modern microwave and cellular communications. Many