One dimensional encoding in optical communications has limitations in terms of the number of supported users and large bandwidth consumption. This study presents a new algorithm to generate two-dimensional (2D) encoding utilizing permutation vectors (PV) theory for incoherent multiple access network to suppress multiple access interference (MAI) and system complexity. The proposed code design approach is based on spectral/spatial techniques for code generation. All possible combinations of PV code-sets are obtained by utilizing all permutations of the vectors with the repetition of each vector weight (W) times. Furthermore, the 2D-PV code-set is constructed by combining two code sequences of the 1D-PV code. Furthermore, the transmitter–receiver architecture of the 2D-PV spectral/spatial (S/S) code based OCDMA system is presented. The Gaussian approximation is used to analyze the performance of the proposed OCDMA system with 2D- PV code by considering various noise sources (shot, thermal, and PIIN). Results indicate that the 2D-PV code provides increased cardinality by eliminating phase induced intensity noise (PIIN) effects with a minimum likelihood of interference between multiple user data. Simulation implementations validate the proposed system performance for an agreeable bit error rate (BER) of 10–9

中文翻译：

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基于置换向量理论的光通信系统高效二维编解码技术

光通信中的一维编码在支持用户数和带宽消耗方面存在局限性。本研究提出了一种新算法，利用置换向量 (PV) 理论为非相干多址网络生成二维 (2D) 编码，以抑制多址干扰 (MAI) 和系统复杂性。所提出的代码设计方法基于用于代码生成的光谱/空间技术。PV 代码集的所有可能组合通过利用向量的所有排列以及每个向量权重 (W) 次的重复来获得。此外，2D-PV 代码集是通过组合 1D-PV 代码的两个代码序列来构建的。此外，还介绍了基于 2D-PV 频谱/空间 (S/S) 码的 OCDMA 系统的发射器-接收器架构。通过考虑各种噪声源（散粒、热和 PIIN），高斯近似用于分析所提出的具有 2D-PV 码的 OCDMA 系统的性能。结果表明，2D-PV 代码通过消除相位感应强度噪声 (PIIN) 效应以最小化多个用户数据之间的干扰可能性来提供增加的基数。仿真实现验证了建议的系统性能，误码率 (BER) 为 10–9