On the Achievable Information Rates of Finite-State Input Two-Dimensional Channels with Memory

dc.creatorShental, Ori
dc.creatorShental, Noam
dc.creatorShamai, Shlomo
dc.date2005-02-18
dc.date.accessioned2026-07-07T08:15:22Z
dc.date.available2026-07-07T08:15:22Z
dc.descriptionThe achievable information rate of finite-state input two-dimensional (2-D) channels with memory is an open problem, which is relevant, e.g., for inter-symbol-interference (ISI) channels and cellular multiple-access channels. We propose a method for simulation-based computation of such information rates. We first draw a connection between the Shannon-theoretic information rate and the statistical mechanics notion of free energy. Since the free energy of such systems is intractable, we approximate it using the cluster variation method, implemented via generalized belief propagation. The derived, fully tractable, algorithm is shown to provide a practically accurate estimate of the information rate. In our experimental study we calculate the information rates of 2-D ISI channels and of hexagonal Wyner cellular networks with binary inputs, for which formerly only bounds were known.
dc.description5 pages, Submitted to ISIT 05
dc.identifierhttps://arxiv.org/abs/cs/0502077
dc.identifierhttp://arxiv.org/abs/cs/0502077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133425
dc.subjectInformation Theory
dc.titleOn the Achievable Information Rates of Finite-State Input Two-Dimensional Channels with Memory
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