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Nonlinear Filtering with Optimal MTLL

E. Fischler·Z. Schuss
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Abstract

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., $[-π,π]$. 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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E. Fischler, Z. Schuss. 2007-03-18. Nonlinear Filtering with Optimal MTLL. https://arxiv.org/abs/math/0703524

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