Random processes for image and signal processing

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Part of the SPIE/IEEE Series on Imaging Science and Engineering. This book provides a framework for understanding the ensemble of temporal, spatial, and higher-dimensional processes in science and engineering that vary randomly in observations. Suitable as a text for undergraduate and graduate students with a strong background in probability and as a graduate text in image processing courses.

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Title Statements

Full title :Random processes for image and signal processing / Edward R. Dougherty.

Summary

Edition Statements

Publication Date:1999.

Publication Statements

Publisher(s):SPIE
Place of Publication:Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA)
Language:eng
Publication Date:1999.

Notes

"SPIE digital library."

The Physical Object

Description:1 online resource (xix, 592 pages) : : illustrations, digital file.

Edition Identifiers

ISBN:9780819478450, 0819478458
DOI:10.1117/3.268105
oclc:on1309412891
LC Classification:TA1637

Chapter 1. Probability theory -- Probability space -- Events -- Conditional probability -- Random variables -- Probability distributions -- Probability densities -- Functions of a random variable -- Moments -- Expectation and variance -- Moment-generating function -- Important probability distributions -- Binomial distribution -- Poisson distribution -- Normal distribution -- Gamma distribution -- Beta distribution -- Computer simulation -- Multivariate distributions -- Jointly distributed random variables -- Conditioning -- Independence -- Functions of several random variables -- Basic arithmetic functions of two random variables -- Distributions of sums of independent random variables -- Joint distributions of output random variables -- Expectation of a function of several random variables -- Covariance -- Multivariate normal distribution -- Laws of large numbers -- Weak law of large numbers -- Strong law of large numbers -- Central limit theorem -- Parametric estimation via random samples -- Random-sample estimators -- Sample mean and sample variance -- Minimum-variance unbiased estimators -- Method of moments -- Order statistics -- Maximum-likelihood estimation -- Maximum-like…

Subjects

Image processing -- Statistical methods Processus stochastiques Signal processing -- Statistical methods Stochastic Processes Traitement d'images -- Méthodes statist… Traitement du signal -- Méthodes statis…