2000 character limit reached
Asymptotic Synchronization for Finite-State Sources (1011.1581v2)
Published 6 Nov 2010 in nlin.CD, cs.IT, math.DS, math.IT, and stat.ML
Abstract: 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.