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Abstract: The word error rate WER of soft-decision-decoded binary block codes rarelyhas closed-form. Bounding techniques are widely used to evaluate theperformance of maximum-likelihood decoding algorithm. But the existing boundsare not tight enough especially for low signal-to-noise ratios and becomelooser when a suboptimum decoding algorithm is used. This paper proposes a newconcept named square radius probability density function SR-PDF of decisionregion to evaluate the WER. Based on the SR-PDF, The WER of binary block codescan be calculated precisely for ML and suboptimum decoders. Furthermore, for along binary block code, SR-PDF can be approximated by Gamma distribution withonly two parameters that can be measured easily. Using this property, twoclosed-form approximative expressions are proposed which are very close to thesimulation results of the WER of interesting.



Author: Xiaogang Chen, Hongwen Yang, Jian Gu, Hongkui Yang

Source: https://arxiv.org/







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