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High-rate codes for high-reliability data transmission

机译:高码率的高可靠性数据传输

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In this paper we propose to consider a generalized error-locating code (GEL-code) as a possible candidate for data transmission systems that require high code rates along with strict requirements on wrong decoding probability. GEL codes are one of a few that allow analytical computation of code error probability bounds and have practical construction method. The paper describes the construction of the GEL-code and the algorithms for encoding and decoding. It represents the upper and lower bounds on wrong decoding probability. It gives a method for constructing such GEL code (with the minimal redundancy) that guarantees that the probability of wrong decoding will be less than required one (for a given channel error probability). Numerical results for the upper and lower bounds for the various GEL-codes and the analysis of the energy gain for the different signal-code structures are given.
机译:在本文中,我们建议考虑将广义错误定位码(GEL-code)用作数据传输系统的可能候选者,这些数据传输系统需要高编码率以及对错误解码概率的严格要求。 GEL代码是允许对代码错误概率范围进行解析计算并具有实用构造方法的少数代码之一。本文介绍了GEL代码的构造以及编码和解码算法。它代表错误解码概率的上限和下限。它给出了一种构造这种GEL码的方法(具有最小的冗余度),该方法可确保错误解码的概率小于要求的概率(对于给定的信道错误概率)。给出了各种GEL码上下限的数值结果,并分析了不同信号码结构的能量增益。

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