An N-branch receive diversity power line communication (PLC) system subject to Rayleigh fading and corrupted by additive Nakagami-m background noise is considered. A suboptimal maximal-ratio-combining (MRC), an optimal diversity combining, and a Gauss-optimal receiver are proposed for the PLC system. A closed form expression for the exact symbol error probability (SEP) and a union bound SEP expression are obtained for the proposed MRC and Gauss-optimal receivers, respectively, using a characteristic function (c.f.) approach for the system employing M-ary phase-shift keying (MPSK) at the transmitter, conditioned to mN being an integer. The asymptotic expression for the SEP obtained for the MRC receiver at high signal-to-noise (SNR) demonstrates that the diversity order of the system is independent of the shape parameter m of the additive noise which is identical to the diversity order of the optimal and the Gauss-optimal receivers. Further, numerical studies justify the advantages of employing receive diversity to achieve superior SEP performance. The effect of increasing the diversity branches on the PLC system performance with varying m and the power efficiency of the PLC system are also presented.

中文翻译：

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Nakagami-$m$ 噪声环境中采用 MPSK 信号传输的相干 PLC 性能分析


考虑了受瑞利衰落影响并被附加 Nakagami-m 背景噪声破坏的 N 分支接收分集电力线通信 (PLC) 系统。为 PLC 系统提出了次优最大比合并（MRC）、最优分集合并和高斯最优接收器。对于采用 M 元相位的系统，使用特征函数 (cf) 方法，分别为所提出的 MRC 和高斯最优接收器获得精确符号错误概率 (SEP) 的闭合形式表达式和并集 SEP 表达式。发射机处的移位键控 (MPSK)，条件为 mN 为整数。在高信噪比 (SNR) 下为 MRC 接收机获得的 SEP 的渐近表达式表明，系统的分集阶数与加性噪声的形状参数 m 无关，该参数与最优系统的分集阶数相同。和高斯最优接收器。此外，数值研究证明了采用接收分集来实现卓越 SEP 性能的优势。还介绍了增加多样性分支对不同 m 的 PLC 系统性能的影响以及 PLC 系统的功率效率。