In this paper, we consider a multi-branch selection combining receiver over independent and non-identically distributed $\kappa$-$\mu$ fading channels. We derive new exact expressions for moment generating function of output signal-to-noise-ratio (SNR), average symbol error rate (ASER) of coherent rectangular and hexagonal quadrature amplitude modulations, and ASER of non-coherent frequency shift-keying modulation schemes. Further, an asymptotic ASER expression is also derived to determine the diversity order of the system. The analytical results are validated using Monte-Carlo simulations for a wide range of SNRs and fading parameters. Finally, the impact of channel parameters and the number of branches on the ASER performance is also studied.

在本文中，我们考虑了一个多分支选择组合接收器在独立和非同分布 $\kappa$——$\mu$衰落的频道。我们推导出了输出信噪比 (SNR)、相干矩形和六边形正交幅度调制的平均误码率 (ASER) 以及非相干频移键控调制方案的 ASER 的矩生成函数的新精确表达式. 此外，还推导出渐近 ASER 表达式来确定系统的多样性顺序。使用蒙特卡罗模拟对各种 SNR 和衰落参数对分析结果进行了验证。最后，还研究了通道参数和分支数量对 ASER 性能的影响。