Andrew H. Jazwinski

Stochastic Processes and Filtering Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well.
Taking the state-space approach to filtering, this text models dynamical systems by finite-dimensional Markov processes, outputs of stochastic difference, and differential equations. Starting with background material on probability theory and stochastic processes, the author introduces and defines the problems of filtering, prediction, and smoothing. He presents the mathematical solutions to nonlinear filtering problems, and he specializes the nonlinear theory to linear problems. The final chapters deal with applications, addressing the development of approximate nonlinear filters, and presenting a critical analysis of their performance.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 400
• Erscheinungstermin: 18. März 2013
• Englisch
• ISBN-13: 9780486318196
• Artikelnr.: 39865166

Inhaltsangabe

Preface Acknowledgments 1. Introduction 2. Probability Theory and Random
Variables 3. Stochastic Processes 4. Stochastic Differential Equations 5.
Introduction to Filtering Theory 6. Nonlinear Filtering Theory 7. Linear
Filtering Theory 8. Applications of Linear Theory 9. Approximate Nonlinear
Filters Author index Subject index