The ergodic decomposition of asymptotically mean stationary random sources

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dc.creatorSchoenhuth, Alexander
dc.date2008-04-15
dc.date.accessioned2026-07-07T09:32:53Z
dc.date.available2026-07-07T09:32:53Z
dc.descriptionIt is demonstrated how to represent asymptotically mean stationary (AMS) random sources with values in standard spaces as mixtures of ergodic AMS sources. This an extension of the well known decomposition of stationary sources which has facilitated the generalization of prominent source coding theorems to arbitrary, not necessarily ergodic, stationary sources. Asymptotic mean stationarity generalizes the definition of stationarity and covers a much larger variety of real-world examples of random sources of practical interest. It is sketched how to obtain source coding and related theorems for arbitrary, not necessarily ergodic, AMS sources, based on the presented ergodic decomposition.
dc.descriptionSubmitted to IEEE Transactions on Information Theory, Apr. 2008
dc.identifierhttps://arxiv.org/abs/0804.2487
dc.identifierhttp://arxiv.org/abs/0804.2487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158942
dc.subjectInformation Theory
dc.subjectProbability
dc.subject94A15, 37A50, 28D99
dc.titleThe ergodic decomposition of asymptotically mean stationary random sources
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