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Optimum threshold soft decision decoding of linear block codes in impulsive noise

机译:脉冲噪声中线性分组码的最优阈值软判决解码

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摘要

The union and upper bounds of the probability of error P/sub e/, for soft decision (unquantised) optimum threshold decoding of binary phase-shift keying (PSK) with the Golay (23,12) code are found. Even though soft decision decoding performs better, as expected than hard decision-bounded distance decoding, the difference in performance between the two decoding schemes decreases as the data sample size N becomes large, while the difference between the upper and union bounds remains almost constant. For example, for P/sub e/ approximately=10/sup -5/ improvement greater than 3 dB can be achieved when going from N=100 to 400. This result is in direct contrast with the equivalent result in white Gaussian noise where a 2 dB difference exists between hard and soft-decision decoding for all coded digital communications.
机译:找到了使用Golay(23,12)码对二进制相移键控(PSK)进行软判决(未量化)最佳阈值解码的错误概率P / sub e /的并集和上限。尽管软判决解码的执行效果比硬判决边界的距离译码更好,但正如预期的那样,两种解码方案之间的性能差异会随着数据样本大小N变大而减小,而上限和并限之间的差异几乎保持恒定。例如,对于P / sub e /大约= 10 / sup -5 /,当从N = 100变为400时,可以实现大于3 dB的改善。此结果与白高斯噪声的等效结果直接形成对比,其中对于所有编码的数字通信,硬判决和软判决解码之间存在2 dB的差异。

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