Title
The exit problem in optimal non-causal extimation
Abstract
We study the phenomenon of loss of lock in the optimal non-causal phase estimation problem, a benchmark problem in nonlinear estimation. Our method is based on the computation of the asymptotic distribution of the optimal estimation error in case the number of trajectories in the optimization problem is finite. The computation is based directly on the minimum noise energy optimality criterion rather than on state equations of the error, as is the usual case in the literature. The results include an asymptotic computation of the mean time to lose lock (MTLL) in the optimal smoother. We show that the MTLL in the first and second order smoothers is significantly longer than that in the causal extended Kalman filter.
Year
Venue
Keywords
2008
Clinical Orthopaedics and Related Research
nonlinear smoothing,cycle slips,loss of lock,optimization problem,extended kalman filter,second order,optimal estimation,asymptotic distribution,energy optimization
Field
DocType
Volume
Mathematical optimization,Extended Kalman filter,Nonlinear system,Optimality criterion,Lock (computer science),Control theory,Optimal estimation,Optimization problem,Mathematics,Computation,Asymptotic distribution
Journal
abs/0802.0
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Doron Ezri183.41
Ben-tzion Bobrovsky200.34
Zeev Schuss343.34