The \({\kappa -\mu /}\)Inverse Gamma (KMIG) and \({\eta -\mu /}\)Inverse Gamma (EMIG) are recently introduced composite fading distributions for the precise design of the wireless systems, where multipath fading and shadowing occur concomitantly. Further, these composite fading models are competent to be employed in the performance investigation of the digital communication system as their mathematical formulations are quite tractable. Average symbol error probability (SEP) and channel capacity analysis are important parameters to investigate the performance of a digital communication system. The applicability of these fading models is illustrated by analysing the performance matrices of the digital communication channels in the present work. Various performance matrices such as the average SEP, the channel capacity under different adaptive schemes namely, optimum rate adaptation (ORA), channel inversion with fixed rate (CIFR) and truncated CIFR are derived. The asymptotic analysis of KMIG and EMIG composite fading models over average SEP performance matrices with coding gain and diversity gain is also carried out in this work. The simplified high and low signal-to-noise-ratio solutions to channel capacity are also provided as a by-product. In addition, approximate analysis to ORA and CIFR capacity are provided under realistic environmental conditions. The accuracy of the derived numerical formulations is validated with the use of Monte–Carlo simulation. The results of present work will be advantageous in the modelling and designing of popular wireless services such as vehicle-to-vehicle communication, wearable communication and wireless power transfer related technologies.

的\（{\卡帕- \亩/} \）逆伽玛（KMIG）和\（{\ ETA - \亩/} \）逆伽玛（EMIG）是最近引入的用于无线系统精确设计的复合衰落分布，其中多路径衰落和阴影同时发生。此外，由于这些复合衰落模型的数学公式相当容易处理，因此它们有能力在数字通信系统的性能研究中采用。平均符号错误概率（SEP）和信道容量分析是研究数字通信系统性能的重要参数。通过分析当前工作中数字通信信道的性能矩阵，可以说明这些衰落模型的适用性。各种性能矩阵，例如平均SEP，不同自适应方案（即最佳速率自适应（ORA））下的信道容量，导出固定速率信道反转（CIFR）和截断的CIFR。在这项工作中，还对带有编码增益和分集增益的平均SEP性能矩阵上的KMIG和EMIG复合衰落模型进行了渐近分析。副产品还提供了针对信道容量的简化的高和低信噪比解决方案。此外，还提供了在实际环境条件下对ORA和CIFR能力的近似分析。导出的数值公式的准确性已通过蒙特卡洛模拟的使用进行了验证。当前工作的结果将有利于流行的无线服务的建模和设计，例如车对车通信，可穿戴通信以及与无线电力传输相关的技术。在这项工作中，还对带有编码增益和分集增益的平均SEP性能矩阵上的KMIG和EMIG复合衰落模型进行了渐近分析。副产品还提供了针对信道容量的简化的高和低信噪比解决方案。此外，还提供了在实际环境条件下对ORA和CIFR能力的近似分析。导出的数值公式的准确性已通过蒙特卡洛模拟的使用进行了验证。当前工作的结果将有利于流行的无线服务的建模和设计，例如车对车通信，可穿戴通信以及与无线电力传输相关的技术。在这项工作中，还对带有编码增益和分集增益的平均SEP性能矩阵上的KMIG和EMIG复合衰落模型进行了渐近分析。副产品还提供了针对信道容量的简化的高和低信噪比解决方案。此外，还提供了在实际环境条件下对ORA和CIFR能力的近似分析。导出的数值公式的准确性已通过蒙特卡洛模拟的使用进行了验证。当前工作的结果将有利于流行的无线服务的建模和设计，例如车对车通信，可穿戴通信以及与无线电力传输相关的技术。