On the Entropy Rate of Pattern Processes

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dc.creatorGemelos, George M.
dc.creatorWeissman, Tsachy
dc.date2005-04-12
dc.date2006-02-17
dc.date.accessioned2026-07-07T08:15:25Z
dc.date.available2026-07-07T08:15:25Z
dc.descriptionWe study the entropy rate of pattern sequences of stochastic processes, and its relationship to the entropy rate of the original process. We give a complete characterization of this relationship for i.i.d. processes over arbitrary alphabets, stationary ergodic processes over discrete alphabets, and a broad family of stationary ergodic processes over uncountable alphabets. For cases where the entropy rate of the pattern process is infinite, we characterize the possible growth rate of the block entropy.
dc.descriptionSubmitted to IEEE Transactions of Information Theory
dc.identifierhttps://arxiv.org/abs/cs/0504046
dc.identifierhttp://arxiv.org/abs/cs/0504046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133442
dc.subjectInformation Theory
dc.titleOn the Entropy Rate of Pattern Processes
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