On the error probability of general trellis codes with applications to sequential decoding

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Abstract

An upper bound on the average error probability for maximum-likelihood decoding of the ensemble of randomL-branch binary trellis codes of rateR = 1/nis given which separates the effects of the tail lengthTand the memory lengthMof the code. It is shown that the bound is independent of the lengthLof the information Sequence whenM geq T + [nE_{VU}(R)]^{-1} log_{2} L. The implication that the actual error probability behaves similarly is investigated by computer simulations of sequential decoding utilizing the stack algorithm. These simulations confirm the implication which can thus be taken as a design rule for choosingMso that the error probability is reduced to its minimum value for a givenT.

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  • Electrical Engineering, Electronic Engineering, Information Engineering
Original languageEnglish
Pages (from-to)609-611
JournalIEEE Transactions on Information Theory
Volume23
Issue number5
Publication statusPublished - 1977
Publication categoryResearch
Peer-reviewedYes

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