Faculty of Electrical Engineering, GIK Institute of Engineering Sciences and Technology, Topi 23640, Pakistan.
Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Sensors (Basel). 2021 Oct 13;21(20):6792. doi: 10.3390/s21206792.
Closed-form evaluation of key performance indicators (KPIs) of telecommunication networks help perform mathematical analysis under several network configurations. This paper deals with a recent mathematical approach of indefinite quadratic forms to propose simple albeit exact closed-form expressions of the expectation of two significant logarithmic functions. These functions formulate KPIs which include the ergodic capacity and leakage rate of multi-user multiple-input multiple-output (MU-MIMO) systems in Rayleigh fading channels. Our closed-form expressions are generic in nature and they characterize several network configurations under statistical channel state information availability. As a demonstrative example of the proposed characterization, the derived expressions are used in the statistical transmit beamformer design in a broadcast MU-MIMO system to portray promising diversity gains using standalone or joint maximization techniques of the ergodic capacity and leakage rate. The results presented are validated by Monte Carlo simulations.
电信网络关键绩效指标 (KPI) 的闭式评估有助于在几种网络配置下进行数学分析。本文采用不定二次型的最新数学方法，提出了两个重要对数函数的期望的简单但精确的闭式表达式。这些函数构成 KPI，包括瑞利衰落信道中多用户多输入多输出 (MU-MIMO) 系统的遍历容量和泄漏率。我们的闭式表达式具有通用性，它们描述了在统计信道状态信息可用的几种网络配置下的特性。作为所提出的特性的示范示例，所得到的表达式用于广播 MU-MIMO 系统中的统计发射波束成形设计中，使用遍历容量和泄漏率的独立或联合最大化技术来描绘有希望的分集增益。所呈现的结果通过蒙特卡罗模拟进行了验证。
