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本文推导了独立不同分布Nakagami-m(m为整数)衰落信道模型下接收端采用选择合并方式时信噪比的概率密度函数(probability density function,PDF)的闭式表达式.该表达式由有限多个幂函数与指数函数乘积的求和形式组成,可作为一个非常有用的数学工具来分析在独立不同分布Nakagami-m衰落信道下采用选择合并分集技术时的无线通信系统的中断概率、误符号率和遍历容量等性能,还可以用于研究物理层保密性能,比如保密中断概率(secrecy outage probability,SOP)和平均保密容量(average secrecy capacity,ASC).在单输入多输出(single-input multiple-output,SIMO)的无线通信系统中,本文以无线信息与能量同步传输(simultaneous wireless information and power transfer,SWIPT)通信系统为例,利用所得信噪比的PDF表达式研究了该系统的保密性能,进一步得到SOP和ASC的闭式表达式,最后通过数值仿真和Monte Carlo仿真对推导得到的SOP和ASC闭式表达式的准确性和有效性进行了验证.
This paper deduces the closed-form expression for the probability density function (PDF) of the signal-to-noise ratio at the receiving end under the selective Nakagami-m (m is integer) fading channel model. It can be used as a very useful mathematical tool to analyze the outage probability and error sign of the wireless communication system when the selective combining diversity technique is adopted under different Nakagami-m fading channels with different distributions. Rate and traversal capacity, and can also be used to study the physical layer confidentiality such as the secrecy outage probability (SOP) and the average secrecy capacity (ASC) .In a single-input multiple -output and SIMO), this paper uses the PDF expression of the obtained signal-to-noise ratio (SNR) to study the security performance of this system, taking the wireless information and power transfer (SWIPT) communication system as an example. , Further closed-form expressions of SOP and ASC are obtained, and finally deduced by numerical simulation and Monte Carlo simulation The accuracy and effectiveness of SOP and ASC closed-form expression is verified.