独立不同分布Nakagami-m信道下选择合并分集信噪比的统计特性及其应用  

On the statistics of the outcome SNR of selective combiner over i.n.d. Nakagami-m channels and its applications

作　　者：李婷婷[1] 雷宏江[2] 赵辉[3] 潘高峰[3] Tingting LI Hongjiang LEI Hui ZHAO Gaofeng PAN(The School of Mathematics and Statistics, Southwest University, Chongqing 400715, China The Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China The Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing 400715, China)

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]重庆邮电大学重庆市移动通信技术重点实验室,重庆400065 [3]西南大学重庆市非线性电路与智能信息处理重点实验室,重庆400715

出　　处：《中国科学：信息科学》2017年第4期507-515,共9页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:61401372;61531016);重庆市基础与前沿研究计划(批准号:cstc2013jcyjA40040;cstc2016jcyjA0510);重庆市教委科学技术研究项目(批准号:KJ1600413);中央高校基本科研业务经费(批准号:XDJK2015B023;XDJK2016A011)资助项目

摘　　要：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.The closed-form analytical expression of the probability density function（PDF） of the outcome signalto-noise ratio at the selective combiner（SC） over independent but not necessarily identically distributed（i.n.d.）Nakagami-m fading channels is derived.The proposed expression is in the form of multiple finite summations of the product of the power and exponential functions.The obtained expression can be considered as a useful mathematical tool to analyze the performance of the wireless communication systems adopting SC over i.n.d.,Nakagami-m fading channels,such as outage probability,bit/symbol error rate,and ergodic capacity as well as secrecy performance,including secrecy outage probability（SOP） and average secrecy capacity（ASC）.As an example,closed-form analytical expressions are derived for the SOP and ASC of a single-input multiple-output simultaneous wireless information and power transfer system.The accuracy and validity of the derived expression are justified through extensive comparisons between numerical and simulation results.

关 键 词：NAKAGAMI-M衰落信道 保密中断概率 平均保密容量 单输入多输出 无线信息与能量同步传输 

分 类 号：TN929.5[电子电信—通信与信息系统]