This book was written as a graduate level textbook for engineering students who have had a course in probability and random variables intended for students of engineering or the physical sciences. It is focused primarily on random processes as models for randomly time-varying signals and noise.
It also focuses on what is called the second-order theory of random processes, which treats auto-correlation and spectral density of average power, both second moments of the probability distributions of the process.
"synopsis" may belong to another edition of this title.
Chapter 12 (expanded in the 2nd edition) of this book focuses on Cyclostationary Random Processes. Around the turn of the century, now 15 years ago, the recognition in a variety of fields of study of the utility of the theory of cyclostationary processes began growing at an accelerating pace. A comprehensive literature survey was published in 2006 (see Tutorial Publications herein), and a major extension and generalization of the theory that accommodates the effects of rapid motion between radio-frequency transmitters and receivers appeared in the 2012 book Generalizations of cyclostationary signal processing: spectral analysis and applications [ISBN: 978-1-119-97335-5] (written by a close friend and colleague, Professor Antonio Napolitano). Numerous research publications in the professional journals of various fields of science and engineering have appeared during this recent period. The overview paper by W. A. Gardner, A. Napolitano, and L. Paura, "Cyclostationarity: Half a Century of Research," Signal Processing, April 2006, received from the Publisher (Elsevier) the "Most Cited Paper Award" in 2008; and, each year since its first appearance online up through 2011, it was the most cited paper among those published in Signal Processing in the previous five years, and among the top 10 most downloaded papers from Signal Processing. Google Scholar reported that, as of late 2014, this paper had been cited over 400 times.
The most frequently cited paper on cyclostationarity as of late 2014 is an IEEE Signal Processing Magazine article with 861 citations, and the next three most cited publications are his three books, with 728, 691, 591 citations, out of a total 9259 citations, 3707 of which were during the 5 year period since 2009.
faculty.engineering.ucdavis.edu/gardner/
Professor Bernard C. Levy, Chairman of the Department of Electrical & Computer Engineering at the University of California, Davis, states in a nomination letter:
Dr. Gardner's random processes textbook has several original features which make it stand out among all other textbooks in the same general area. First, it contains a chapter on cyclostationary processes, which have been one of the main topics of research for Dr. Gardner throughout his research career. These processes play a key role in the study of digital communications systems, and virtually all recent digital communications textbooks refer to Dr. Gardner's random processes book as well as to his research papers on cyclostationary signal processing. Another original feature of Dr. Gardner's random processes book is its detailed development of the time-average approach for evaluating the statistics of random signals. This approach provides the theoretical underpinning for the textbook Statistical Spectral Analysis: A Nonprobabilistic Theory which was written by Dr. Gardner for his [graduate level] Spectral Analysis course... . Because of its revolutionary time-average approach (which can be traced back in part to the pioneering work of Norbert Wiener on generalized harmonic analysis), this textbook has been the subject of entertaining exchanges in the Signal Processing Magazine of the IEEE Signal Processing Society. As a consequence of Bill Gardner's courage and vision in pursuing a radically new path, based on the eminently sensible view that the analysis of random signals should be based on statistics extracted from the observed data, this book has had a huge impact on modern spectrum analysis practitioners.
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