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An Evaluation Method of the Block Error Probability by Using a Low-Weight Sub-Trellis Diagram
Kenichi TOMITA Toyoo TAKATA Tadao KASAMI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1997/11/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Coding Theory
block error probability, block code, low-weight subtrellis diagram and union bound,
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This paper is concerned with the evaluation of the block error probability of maximum likelihood decoding (MLD) for a block code or a block modulation code over an AWGN channel. It is infeasible to evaluate the block error probability of MLD for a long block code with a large minimum distance by simulation. In this paper, a new evaluation method of the block error probability of MLD by an analytical method combined with simulation with a low-weight sub-trellis diagram is proposed. We show that this proposed method gives a tighter upper bound on the block error probability than the conventional one, and can be applicable to a relatively long block code with a large minimum distance for which conventional simulation is infeasible.