噪声不确定时基于波束成形的隐蔽无线通信性能分析

doi:10.11959/j.issn.1000-436x.2020137

通信学报 ›› 2020, Vol. 41 ›› Issue (7): 49-58.doi: 10.11959/j.issn.1000-436x.2020137

噪声不确定时基于波束成形的隐蔽无线通信性能分析

林钰达¹,金梁²,周游²,楼洋明^1,²

¹ 信息工程大学，河南郑州 450002
² 国家数字交换系统工程技术研究中心，河南郑州 450002

修回日期:2020-04-27 出版日期:2020-07-25 发布日期:2020-08-01
作者简介:林钰达（1994- ），男，浙江杭州人，信息工程大学博士生，主要研究方向为隐蔽无线通信、物理层安全|金梁（1969- ），男，浙江上虞人，博士，国家数字交换系统工程技术研究中心教授、博士生导师，主要研究方向为移动通信技术、物理层安全、阵列信号处理等|周游（1986- ），男，安徽合肥人，国家数字交换系统工程技术研究中心助理研究员，主要研究方向为无线移动通信|楼洋明（1991- ），男，浙江义乌人，信息工程大学博士生、国家数字交换系统工程技术研究中心助理研究员，主要研究方向为信息论、物理层安全
基金资助:
国家重点研发计划基金资助项目(2017YFB0801903);国家自然科学基金资助项目(61501516);国家自然科学基金资助项目(61701538);国家自然科学基金资助项目(61871404);国家自然科学基金资助项目(61801435);国家自然科学基金资助项目(61601514);国家自然科学基金创新群体资助项目(61521003)

Performance analysis of covert wireless communication based on beam forming with noise uncertainty

Yuda LIN¹,Liang JIN²,You ZHOU²,Yangming LOU^1,²

¹ Information Engineering University,Zhengzhou 450002,China
² National Digital Switching System Engineering and Technological Research Center,Zhengzhou 450002,China

Revised:2020-04-27 Online:2020-07-25 Published:2020-08-01
Supported by:
The National Key Research and Development Program of China(2017YFB0801903);The National Natural Science Foundation of China(61501516);The National Natural Science Foundation of China(61701538);The National Natural Science Foundation of China(61871404);The National Natural Science Foundation of China(61801435);The National Natural Science Foundation of China(61601514);The National Natural Science Foundation Innovative Groups Project of China(61521003)

摘要/Abstract

摘要：

为了在噪声不确定时实现瑞利衰落环境下的隐蔽无线通信，采用基于复高斯随机编码和波束成形的下行隐蔽无线通信方案，重点分析了隐蔽无线通信性能。首先，利用假设检验理论分析基于该方案通信的隐蔽概率；然后，给出并证明非法检测方的最优检测门限，并进一步得到系统的平均隐蔽概率、连接中断概率和隐蔽吞吐量闭式表达式；最后，通过联合设计发射功率和目标隐蔽速率，实现系统最大隐蔽吞吐量的优化目标，并给出了基于分步搜索的相应求解算法。仿真结果表明，波束成形技术能够为隐蔽无线通信带来一定增益；与考虑合法接收方不受噪声不确定影响的理想情形相比，考虑合法接收方非理想情形时的隐蔽吞吐量有明显下降，几乎不受环境基本噪声水平的影响。

关键词: 隐蔽无线通信, 噪声不确定, 波束成形, 隐蔽吞吐量

Abstract:

In order to establish covert wireless communication in Rayleigh fading environment with noise uncertainty,a scheme of downlink covert wireless communication based on complex Gaussian random coding and beam forming was adopted,and more importantly,the performance of covert wireless communication was analysed.Firstly,the covert probability of communication was analyzed by using the hypothesis test theory.Secondly,the optimal detection threshold of the illegal detection party was given and proved,and the closed expressions of the average covert probability,connection interruption probability and covert throughput of the system were further obtained.Finally,by jointly designing the transmission power and target covert rate,the optimal goal of the maximum covert throughput of the system was achieved,and the corresponding algorithm based on step search was given.The simulation results show that the beam forming technology could provide some gain for covert wireless communication.Compared with the ideal case in which the legitimate receiver is not affected by the noise uncertainty,the covert throughput in non-ideal case is significantly reduced and almost not affected by the basic noise level of the environment.

Key words: covert wireless communication, noise uncertainty, beam forming, covert throughput

中图分类号:

TN918.91

林钰达,金梁,周游,楼洋明. 噪声不确定时基于波束成形的隐蔽无线通信性能分析[J]. 通信学报, 2020, 41(7): 49-58.

Yuda LIN,Liang JIN,You ZHOU,Yangming LOU. Performance analysis of covert wireless communication based on beam forming with noise uncertainty[J]. Journal on Communications, 2020, 41(7): 49-58.

图/表 11

图1

图2

表1

ξ ¯ (P)、pout(P,R)和η关于P和R的单调性"

性能指标	关于P	关于R	关于 p_out(P,R)
$\bar{ξ} (P)$	单调递减	相互独立	无
p_out(P,R)	单调非增	单调非减	无
η	单调递增	不确定	单调递减

表1

表2

仿真参数设置"

参数	数值
信道模型	瑞利衰落
噪声不确定模型	对数均匀分布（ $σ_{n}^{2} = 0$ ， ρ=1.5）
合法接收方Bob情形	受噪声不确定影响的非理想情形
搜索初始发射功率P₀/dBm	0
最大发射功率P_max/ dBm	10
Alice与Bob、Willie距离d_ab、d_aw/m	10
路径损耗指数α	4
隐蔽性约束ε	0.01
可靠性约束δ	0.1
平均隐蔽概率可接受误差τ	10^-7

表2

图3

图4

图5

图6

图7

图8

图9

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噪声不确定时基于波束成形的隐蔽无线通信性能分析

Performance analysis of covert wireless communication based on beam forming with noise uncertainty

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