Trellis Computations

dc.creatorHeim, Axel
dc.creatorSidorenko, Vladimir
dc.creatorSorger, Uli
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:42Z
dc.date.available2026-07-07T08:43:42Z
dc.descriptionFor a certain class of functions, the distribution of the function values can be calculated in the trellis or a sub-trellis. The forward/backward recursion known from the BCJR algorithm is generalized to compute the moments of these distributions. In analogy to the symbol probabilities, by introducing a constraint at a certain depth in the trellis we obtain symbol moments. These moments are required for an efficient implementation of the discriminated belief propagation algorithm in [2], and can furthermore be utilized to compute conditional entropies in the trellis. The moment computation algorithm has the same asymptotic complexity as the BCJR algorithm. It is applicable to any commutative semi-ring, thus actually providing a generalization of the Viterbi algorithm.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0711.2873
dc.identifierhttp://arxiv.org/abs/0711.2873
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142410
dc.subjectInformation Theory
dc.subjectG.2.2; G.3
dc.titleTrellis Computations
dc.typetext

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