A multiple access (MA) soft-decision (SD) decoder based on the cost rankings of the channel output matrix, is proposed and applied in an optical wireless communication system in which permutation-based optical codes (POCs) are used. The proposed decoder determines the possible transmitted MA codewords by implementing the Hungarian and Murty’s algorithms to solve and rank the costs of all the possible codewords of the received signal. The performance of the proposed Hungarian-Murty (HM) decoder is evaluated in comparison with two decoders based on the Exhaustive Search (ES) technique, in terms of computational complexity and block error rate (BER). It is found that when POCs are employed, the proposed HM decoder achieves better BER performance with a low decoding complexity in comparison to the ES based decoders.

中文翻译：

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多址系统中基于置换的光码的软判决解码

提出了一种基于信道输出矩阵成本排序的多址 (MA) 软决策 (SD) 解码器，并将其应用于使用基于置换的光代码 (POC) 的光无线通信系统中。所提出的解码器通过实施匈牙利和 Murty 算法来解决和排列接收信号的所有可能代码字的成本，从而确定可能的传输 MA 代码字。在计算复杂度和误块率 (BER) 方面，与基于穷举搜索 (ES) 技术的两个解码器进行比较，评估了所提出的 Hungarian-Murty (HM) 解码器的性能。发现当采用 POC 时，与基于 ES 的解码器相比，所提出的 HM 解码器以较低的解码复杂度实现了更好的 BER 性能。