Asymptotic Synchronization for Finite-State Sources

Details Asymptotic Synchronization for Finite-State Sources Asymptotic Synchronization for Finite-State Sources

2010-11-06

arxiv.org/abs/1011.1581v2

Nonlinear Sciences

Chaotic Dynamics

13 pages, 4 figures: http://cse.ucdavis.edu/~cmg/compmech/pubs/asfs.htm; updates and corrections added

Scientific paper

We extend a recent synchronization analysis of exact finite-state sources to nonexact sources for which synchronization occurs only asymptotically. Although the proof methods are quite different, the primary results remain the same. We find that an observer's average uncertainty in the source state vanishes exponentially fast and, as a consequence, an observer's average uncertainty in predicting future output converges exponentially fast to the source entropy rate.

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