Nonlinear Filtering with Optimal MTLL

Details Nonlinear Filtering with Optimal MTLL Nonlinear Filtering with Optimal MTLL

2007-03-18

arxiv.org/abs/math/0703524v1

Mathematics

Optimization and Control

Scientific paper

We consider the problem of nonlinear filtering of one-dimensional diffusions from noisy measurements. The filter is said to lose lock if the estimation error exits a prescribed region. In the case of phase estimation this region is one period of the phase measurement function, e.g., $[-\pi,\pi]$. We show that in the limit of small noise the causal filter that maximizes the mean time to loose lock is Bellman's minimum noise energy filter.

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