The main theme of this book deals with fundamental concepts underlying stochastic signal or linear stochastic systems, their modelling and analysis as well as model-based signal processing. Two popular stochastic models, the polynomial (or transfer function) model and the state space model are employed in schemes that lead to the estimation of unknown system parameters or states. The book is written for undergraduate and graduate students as well as practising engineers, specializing the the areas of electrical communications, signal processing and automatic control. Many examples illustrate the concepts of this book and the reader learns how to write software implementations of estimators on computers.
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From the reviews of the second edition:
"In the present textbook basic concepts of linear stochastic systems, stochastic signals, modeling and analysis, as well as model-based signal processing are described using the transfer function model and the state space model. ... Many worked examples are given within the text. The book is suitable for undergraduate and graduate courses in the field of linear stochastic systems, signal processing and automatic control." (Kurt Marti, Zentralblatt MATH, Vol. 1156, 2009)
“The book presents the fundamentals of stochastic processes and systems, with emphasis on estimation theory. It is appropriate for both undergraduate and graduate students and for engineers in the fields of communications, signal processing, and automatic control. It contains several examples and experiments performed by using Matlab. ... Appendices on Laplace and Z-transforms, matrix analysis, and probability density functions and references end the book.” (Antonio Napolitano, Mathematical Reviews, Issue 2010 j)
Review of The Theory of Probability and Random Variables.- Fundamentals of Stochastic Processes.- Linear Discrete-Time Stochastic Systems.- Linear Continuous Time Stochastic Systems.- Fundamentals of Estimation.- Optimum Nonrecursive Linear Estimation: Wiener Filtering.- Optimum Recursive Linear Estimation: Kalman Filtering.- Extensions of The Optimum Recursive (Kalman) Filter.
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