Upper Bounds on the Error Probability for the Ensemble of Linear Block Codes with Mismatched Decoding

T. Niinomi, H. Yagi, S. Hirasawa
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Abstract

In this paper, applying the technique of the DS2 bound, we derive an upper bound on the error probability of mismatched decoding with the ensemble of linear block codes, which was defined by Hof, Sason and Shamai. Assuming the ensemble of random linear block codes defined by Gallager, we show that the obtained bound is not looser than the conventional bound.
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解码不匹配的线性分组码集成错误概率的上界
本文利用DS2界的技术,推导了Hof、Sason和Shamai定义的线性分组码集成不匹配译码错误概率的上界。假设Gallager定义的随机线性分组码集合,我们证明了所得到的界并不比常规界更松散。
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