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＜電子ブック＞
Nonlinear Filtering and Optimal Phase Tracking / by Zeev Schuss
(Applied Mathematical Sciences. ISSN:2196968X ; 180)

版	1st ed. 2012.
出版者	New York, NY : Springer US : Imprint: Springer
出版年	2012
本文言語	英語
大きさ	XVIII, 262 p : online resource
著者標目	*Schuss, Zeev author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Differential equations FREE:Probability Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Differential Equations
一般注記	Diffusion and Stochastic Differential Equations -- Euler's Simulation Scheme and Wiener's Measure -- Nonlinear Filtering and Smoothing of Diffusions -- Small Noise Analysis of Zakai's Equation -- Loss of Lock in Phase Trackers -- Loss of Lock in RADAR and Synchronization -- Phase Tracking with Optimal Lock Time -- Bibliography -- Index   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 HTTP:URL=https://doi.org/10.1007/978-1-4614-0487-3

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