Algorithm of multithreshold decoding for non-binary self-orthogonal concatenated codes

2014 IEEE 8th International Conference on Application of Information and Communication Technologies (AICT) Pub Date : 2014-10-01 DOI:10.1109/ICAICT.2014.7035905

V. Zolotarev, G. Ovechkin, Y. Seitkulov, D. Satybaldina, N. Tashatov, Vitaly Mishin

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Abstract

Non-binary multithreshold decoding (qMTD) for q-ary self-orthogonal codes (qSOC) is considered. The SER performance of qMTD is shown to be close to the results provided by optimum total search methods, which are not realizable for non-binary codes in general. qMTD decoders are compared with different decoders for Reed-Solomon codes. The performance provided with qMTD in some cases is unattainable with classical decoders for arbitrary long Reed-Solomon codes. The result of concatenation of qSOC with simple to decode outer codes is described. Method of improving of qMTD decoder's performance for qSOC is offered. Some simulated results obtained by using these two decoding techniques (the base and modified ways) are presented as well. Comparison of the results showed that the change in the threshold element's algorithm can significantly improve speed of qMTD work. It's shown that for a larger gain this modification qMTD should be used after conventional decoding iterations.

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非二进制自正交拼接码的多阈值译码算法

研究了q元自正交码(qSOC)的非二进制多阈值解码(qMTD)。结果表明，qMTD的SER性能接近最优总搜索方法的结果，而非二进制码通常无法实现。qMTD解码器与不同的里德-所罗门码解码器进行了比较。在某些情况下，qMTD提供的性能是任意长Reed-Solomon码的经典解码器无法达到的。描述了将qSOC与易于解码的外部码串联起来的结果。提出了改进qMTD解码器性能的方法。并给出了两种译码方法(基本译码方法和改进译码方法)的仿真结果。结果表明，改变阈值元素的算法可以显著提高qMTD的工作速度。结果表明，为了获得更大的增益，应该在常规的解码迭代之后使用这种修改的qMTD。

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2014 IEEE 8th International Conference on Application of Information and Communication Technologies (AICT)

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