Signal Processing with Alpha-Stable Distributions and Applications (Adaptive and Cognitive Dynamic Systems: Signal Processing, Learning, Communications and Control) - Hardcover

Nikias, Chrysostomos L.; Shao, Min

Hardcover

ISBN 10: 047110647X ISBN 13: 9780471106470

Publisher: Wiley-Interscience, 1995

Synopsis

The recent explosion in the speed and power of computers has now made available the much more accurate, non-Gaussian models in signal processing algorithms. This book offers, for the first time, a full and lucid introduction to a very useful type of these non-Gaussian models, namely those specified by alpha-stable distributions.

Signal Processing with Alpha-Stable Distributions and Applications presents a long-awaited survey of the statistical properties, methods, and applications of symmetrical alpha-stable distributions. Its emphasis on practical rather than theoretical aspects will appeal to both researchers and practicing engineers in signal processing. Major topics covered in this comprehensive resource include:

• Statistical methods in signal processing, including both the Gaussian and alpha-stable models
• The stable distribution, its characterization and statistical properties
• Fractional lower-order moments
• Covariation and statistical conditional expectation of symmetric alpha-stable random variables
• Methods for estimating the parameters of a stable distribution from sample data
• Three conventional methods for estimating covariations: fractional lower-order moment estimator, the screened ratio estimator, and the least-squares estimator
• Methods for estimating MA, AR, and ARMA model parameters
• Methods for modeling impulsive signals
• Designing and implementing optimum and suboptimum signal detectors in the presence of impulsive noise
• Overview of current applications and future research trends of alpha-stable distributions for signal processing problems

About this title

From the Publisher

An excellent introduction to a particular type of non-Gaussian signal processing which is specified by the stable distributions, focusing on their applications. Stresses the statistical properties, methods and uses of symmetric alpha-stable distributions, emphasizing their theoretical aspects. Includes an overview of the latest application developments and future trends of alpha-stable distributions, with a brief description of on-going work in detection, blind channel identification and deconvolution, robust beamforming, adaptive interference mitigation as well as their implementation to communications, sonar, radar and other engineering areas.

About the Author

CHRYSOSTOMOS L. NIKIAS is Professor of Electrical Engineering Systems and Director of the Center for Research on Applied Signal Processing at the University of Southern California. He is also a member of the California Council on Science and Technology.

MIN SHAO is currently a staff scientist at HNC Software, Inc. and formerly worked at the University of Southern California.

Edition details

• Publisher: Wiley-Interscience
• Publication date: 1995
• ISBN 10: 047110647X
• ISBN 13: 9780471106470
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 184