Nonlinear Filtering and Optimal Phase Tracking (Applied Mathematical Sciences, 180) - Hardcover

Schuss, Zeev

 
9781461404866: Nonlinear Filtering and Optimal Phase Tracking (Applied Mathematical Sciences, 180)

Synopsis

 

This book offers an analytical rather than measure-theoretical approach to the derivation of the partial differential equations of nonlinear filtering theory. The basis for this approach is the discrete numerical scheme used in Monte-Carlo simulations of stochastic differential equations and Wiener's associated path integral representation of the transition probability density. Furthermore, it presents analytical methods for constructing asymptotic approximations to their solution and for synthesizing asymptotically optimal filters. It also offers a new approach to the phase tracking problem, based on optimizing the mean time to loss of lock. The book is based on lecture notes from a one-semester special topics course on stochastic processes and their applications that the author taught many times to graduate students of mathematics, applied mathematics, physics, chemistry, computer science, electrical engineering, and other disciplines. The book contains exercises and worked-out examples aimed at illustrating the methods of mathematical modeling and performance analysis of phase trackers.

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About the Author

Zeev Schuss is a Professor in the School of Mathematical Sciences at Tel Aviv University.

From the Back Cover

This book offers an analytical rather than measure-theoretical approach to the derivation of the partial differential equations of nonlinear filtering theory. The basis for this approach is the discrete numerical scheme used in Monte-Carlo simulations of stochastic differential equations and Wiener's associated path integral representation of the transition probability density. Furthermore, it presents analytical methods for constructing asymptotic approximations to their solution and for synthesizing asymptotically optimal filters. It also offers a new approach to the phase tracking problem, based on optimizing the mean time to loss of lock. The book is based on lecture notes from a one-semester special topics course on stochastic processes and their applications that the author taught many times to graduate students of mathematics, applied mathematics, physics, chemistry, computer science, electrical engineering, and other disciplines. The book contains exercises and worked-out examples aimed at illustrating the methods of mathematical modeling and performance analysis of phase trackers.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781489973818: Nonlinear Filtering and Optimal Phase Tracking

Featured Edition

ISBN 10:  1489973818 ISBN 13:  9781489973818
Publisher: Springer, 2014
Softcover