多中继与多用户选择的中继系统安全性能分析

doi:10.11959/j.issn.1000-0801.2019153

电信科学 ›› 2019, Vol. 35 ›› Issue (8): 111-119.doi: 10.11959/j.issn.1000-0801.2019153

多中继与多用户选择的中继系统安全性能分析

任婷洁,李光球(),程英

杭州电子科技大学通信工程学院，浙江杭州 310018

修回日期:2019-05-22 出版日期:2019-08-20 发布日期:2019-08-24
作者简介:任婷洁（1994- ），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为无线通信。|李光球（1966- ），男，博士，杭州电子科技大学通信工程学院教授，主要研究方向为无线通信、信息论与编码。|程英（1995- ），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为无线通信。
基金资助:
浙江省自然科学基金资助项目(LY12F01008)

Secure performance analysis of relay systems with multi-relay and multi-user selection

Tingjie REN,Guangqiu LI(),Ying CHENG

School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China

Revised:2019-05-22 Online:2019-08-20 Published:2019-08-24
Supported by:
The Natural Science Foundation of Zhejiang Province of China(LY12F01008)

摘要/Abstract

摘要：

为了考察使用多中继选择与多用户选择的放大转发（AF）中继系统的物理层安全性能，推导了其在瑞利衰落信道上和联合发送天线选择/接收最大比合并天线分集下的非零安全容量概率和安全中断概率的精确表达式以及在高信噪比下的渐近安全中断概率解析表达式。AF中继系统的非零安全容量概率和安全中断概率的数值计算和仿真结果相吻合，验证了以上理论分析的正确性；分析结果表明，其安全分集增益为源节点发射天线数、最优中继节点接收天线数、中继节点数的三者乘积与最优中继节点发射天线数、最优用户接收天线数、用户数三者乘积之间的最小值，且与窃听信道无关。

关键词: 发送天线选择, 最大比合并, 放大转发, 中继选择, 物理层安全

Abstract:

The exact expressions for the non-zero secrecy capacity probability,secrecy outage probability of AF relay systems with transmit antenna selection and receive maximal ratio combining and its asymptotic secrecy outage probability at high signal to noise ratios over Rayleigh fading channel were derived respectively.The numerical results of the non-zero secrecy capacity probability and secrecy outage probability of AF relay systems with multi-relay and multi-user selection match well with their corresponding simulations,which proves the correctness of the above theoretical analysis.The analysis result of the asymptotic secrecy outage probability of AF relay systems with multi-relay and multi-user selection indicates that its secrecy diversity gain is the minimum value between the product of the number of transmit antennas at source,the number of receive antennas at the optimal relay node,and the number of relay nodes,and the product of the number of transmit antennas at the optimal relay node,the number of receive antennas at the optimal destination node,and the number of destination nodes,which is independent of the eavesdropper channel.

Key words: transmit antenna selection, maximal ratio combining, amplify-and-forward, relay selection, physical layer security

中图分类号:

TN918

任婷洁,李光球,程英. 多中继与多用户选择的中继系统安全性能分析[J]. 电信科学, 2019, 35(8): 111-119.

Tingjie REN,Guangqiu LI,Ying CHENG. Secure performance analysis of relay systems with multi-relay and multi-user selection[J]. Telecommunications Science, 2019, 35(8): 111-119.

图/表 5

图1

图2

图3

图4

表1

多中继与多用户选择MIMO AF系统仿真参数设置"

	图2	图3	图4
S发射天线数N₁	2	{1,2}	2
R_m收发天线数N₂	{1,2}	{1,2}	{1,2}
D_n接收天线数N₃	{1,4}	2	{1,2}
E接收天线数N₄	2	1	{1,2}
中继节点数M₁	2	{1,2}	2
目的节点（用户）数M₂	{1,2}	1	{1,2}
目标安全速率R_S/(bit·(s·Hz)^-1)	1	1	1
窃听信道平均信噪比 ${\bar{γ}}_{3} / d B$	{10,15}	5	5

表1

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多中继与多用户选择的中继系统安全性能分析

Secure performance analysis of relay systems with multi-relay and multi-user selection

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