Article Dans Une Revue IEEE Transactions on Information Theory Année : 2005

On the filtering problem for stationary random Z^2-fields

Résumé

The notion of universal filtering property of an ergodic stationary process is introduced and then using ergodic theory methods it is shown that an ergodic stationary process has this property if and only if the centralizer of the dynamical system canonically associated to the process does not contain a non-trivial compact subgroup.

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hal-00016962 , version 1 (16-01-2006)

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  • HAL Id : hal-00016962 , version 1

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Wojciech Bulatek, Mariusz Lemanczyk, Emmanuel Lesigne. On the filtering problem for stationary random Z^2-fields. IEEE Transactions on Information Theory, 2005, 51, pp.3586-3595. ⟨hal-00016962⟩
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