Abstract
A decision criterion called LR+Th for decision feedback scheme was proposed by Hashimoto. Though Forney’s decision criterion (FR) is optimal and meets the Neyman-Pearson’s lemma, LR+Th is suboptimal. However, the error exponent of LR+Th is shown to be asymptotically equivalent to that of FR by random coding arguments for block codes. In this paper, applying the technique of DS2 bound, we derive an upper bound for the error probability of LR+Th with the ensemble of linear block codes. It elucidates the relation between the random coding exponents of block codes and those of linear block codes.
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