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

 
9781489973818: Nonlinear Filtering and Optimal Phase Tracking (Applied Mathematical Sciences, 180)

Synopsis

This book offers an analytical approach to stochastic processes common in the physical and life sciences. Its aim is to make probability theory in function space readily accessible to scientists trained in the traditional methods of applied mathematics.

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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 the Author

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

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  • PublisherSpringer
  • Publication date2014
  • ISBN 10 1489973818
  • ISBN 13 9781489973818
  • BindingPaperback
  • LanguageEnglish
  • Number of pages280

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

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware - 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. 280 pp. Englisch. Seller Inventory # 9781489973818

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781489973818

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Many exercises and examples included Balance between mathematical rigor and physical intuitionAn analytical rather than measure-theoretical approach to the derivation and solution of the partial differential equations of nonlinear fillterin. Seller Inventory # 4212656

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