English

On filtering of Markov chains in strong noise

Probability 2007-06-13 v3 Statistics Theory Statistics Theory

Abstract

The filtering problem for finite state Markov chains is revisited, when the intensity of the observation noise increases. We give a description of conditional measure concentration around the invariant distribution of the signal and derive asymptotic expressions for the performance indices of the MMSE and MAP filtering estimates.

Keywords

Cite

@article{arxiv.math/0508446,
  title  = {On filtering of Markov chains in strong noise},
  author = {P. Chigansky},
  journal= {arXiv preprint arXiv:math/0508446},
  year   = {2007}
}

Comments

correction of typos. to appear in IEEE Trans. Inf. Theory