Probabilistic Methods of Signal and System Analysis
George R. Cooper, the late Clare D. McGillem· ISBN 9780195123548
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This text provides an introduction to the applications of probability theory to the solution of problems arising in the analysis of signals and systems. Since its original publication in 1971, this text has been a standard for signals and systems courses that emphasise probability. The new edition incorporates a much greater use of the computer in examples and problems. It increases the number and variety of examples, such as estimating the parameters of random processes and processing them through linear systems. In this edition, the use of the computer is introduced both in text examples and in selected problems. The computer examples are carried out using MATLAB. A number of new sections have been added relating to Benoulli trials, correlation of data sets, smoothing of data, computer computation of correlation functions, and spectral densities and system simulation.
Key Features:
• Stresses engineering applications of probability theory
• Presents the material at a level and in a manner appropriate for engineering majors, as opposed to mathematics majors
Supplement:
Solutions Manual: 0195123557
Contents:
Preface
Introduction to Probability
Random Variables
Several Random Variables
Elements of Statistics
Random Processes
Correlation Functions
Spectral Density
Repines of Linear Systems to Random Inputs
Optimum Linear Systems
Appendices: Mathematical Tables
Frequently Encountered Probability Distributions
Binomial Coefficients
Normal Probability Distribution Function
The Q-Function
Student's T-Distribution Function
Computer Computations
Table of Correlation Function-Spectral Density Pairs
Contour Integration