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Stochastic processes are indispensable tools for development and
research in signal and image processing, automatic control,
oceanography, structural reliability, environmetrics, climatology,
econometrics, and many other areas of science and engineering.
Suitable for a one-semester course, Stationary Stochastic Processes
for Scientists and Engineers teaches students how to use these
processes efficiently. Carefully balancing mathematical rigor and
ease of exposition, the book provides students with a sufficient
understanding of the theory and a practical appreciation of how it
is used in real-life situations. Special emphasis is on the
interpretation of various statistical models and concepts as well
as the types of questions statistical analysis can answer. The text
first introduces numerous examples from signal processing,
economics, and general natural sciences and technology. It then
covers the estimation of mean value and covariance functions,
properties of stationary Poisson processes, Fourier analysis of the
covariance function (spectral analysis), and the Gaussian
distribution. The book also focuses on input-output relations in
linear filters, describes discrete-time auto-regressive and moving
average processes, and explains how to solve linear stochastic
differential equations. It concludes with frequency analysis and
estimation of spectral densities. With a focus on model building
and interpreting the statistical concepts, this classroom-tested
book conveys a broad understanding of the mechanisms that generate
stationary stochastic processes. By combining theory and
applications, the text gives students a well-rounded introduction
to these processes. To enable hands-on practice, MATLAB (R) code is
available online.
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