非高斯定权分布的递归单奇偶校验积码

In Jun Park, Tong-sok Kim, Y. C. Kim
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引用次数: 2

摘要

在单奇偶校验码的迭代产品中,权值分布是影响其抗传输错误性能的重要因素。具有高斯权值分布的产品代码应该具有良好的性能。我们提出了一个递归SPC产品代码权重分布的封闭解。我们证明了该码的码权对称分布在(N + (N)/2)处,其中N是码字的全长。虽然该代码不具有高斯权重分布,但它比传统的产品代码具有更好的性能。当采用软输出迭代译码时,性能仅偏离香农容量限制0.95 dB。因此,我们得出结论,高斯权值分布不是良好性能的必要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Recursive Single Parity Check Product Code with Non-Gaussian Fixed Weight Distribution
In iterated product of single parity check (SPC) codes, weight distribution is an important factor for the performance against transmission errors. A product code with Gaussian weight distribution should have a good performance. We present a closed-form solution for the weight distribution of a recursive SPC product code. We show that the code weights for this code are symmetrically distributed at (N plusmn radic(N)/2), where N is the full-length of a codeword. Though this code does not have a Gaussian weight distribution, it has better performance than conventional product codes. When soft-output iterative decoding is applied, the performance is away from the Shannon capacity limit by only 0.95 dB. Hence, we conclude that Gaussian weight distribution is not a necessary condition for a good performance.
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