Probability Distributions Involving Gaussian Random Variables

system analysis and design. -Dr. John Proakis, Northeastern University and UCSD... 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 handbook.... 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. -Dr. Mohamed-Slim Alouini, Texas A&M UniversityThe 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. -Dr. Sergio Benedetto, Politecnico di TorinoThe book "Probability Distributions Involving Gaussian Random Variables" is a handy research reference in areas such 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. -Dr. Gordon Stüber, Georgia Institute of TechnologyA 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. -Dr. Andrea Goldsmith, Stanford UniversityIn 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. -Dr. Norman C. Beaulieu, University of AlbertaOur 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. -Dr. Desmond P. Taylor, University of CanterburyDr. Simon's book is by far the most comprehensive 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. -Payman Arabshahi, Applied Physics LaboratoryAs a researcher and teacher in the digital communication theory area for the last forty years, I can state that Simon'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 of these results are unavailable elsewhere, since these results were originated by Simon himself. -Dr. Kung Yao, UCLAAfter I spent a few minutes trying to come up with my own derivation, I decided to consult Probability Distributions Involving Gaussian Random Variables, where I found the needed result within a few seconds. On this and many other occasions, I have found Marvin Simon's book to be a unique and extremely valuable resource for my own research. The book is even more crucial for the graduate students who, unlike those in my generation, did not grow up with the Gaussian Q function, Marcum's Q-function, Rayleigh and Rician distributions, chi-squared random variables, and all the other important functions, distributions, and concepts that have their roots in Gaussian random variables. -Dr. Michael B. Pursley, Clemson UniversityBecause the source of randomness and noise is usually modeled as Gaussian, engineers and scientists often need the probability distributions of functions of Gaussian random variables. Marvin Simon has written an extremely useful handbook for everyone working in these fields. It is by far the most complete and easy-to-use collection of these characterizations of functions of Gaussian random variables. ...an important and very popular book that is useful to a very large community of engineers and scientists. This work is also very carefully done with many corrections to earlier works that were not easily available to this community. -Jim Omura, Technology Strategist, Gordon and Betty Moore FoundationThe handbook "Probability Distributions Involving Gaussian Random Variables" by Marvin K. Simon is a wonderful resource for both theoreticians and practitioners in that it contains a wealth of information summarized in one book. -Dr. Costas N. Georghiades, Texas A&M University