Abstract

Viterbi [Information and Control, 8, 80–92 (1965)] has previously considered the effect of sequential decision feedback on communication over an additive white gaussian noise channel. In particular, he analyzed a suboptimum transmission scheme using M orthogonal signals and obtained an upper bound on the error probability. In the following presentation we propose a different suboptimum system for the same problem and obtain an exact expression for the error probability. The error probability for our suboptimum scheme is always less than that for Viterbi's scheme and in fact shows significant improvement for rates near channel capacity. Figure 1 shows the improvement in terms of the channel reliability function (which is proportional to the negative exponent of the error probability).2

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