人工噪声辅助下的多天线隐蔽通信技术分析

doi:10.3778/j.issn.1673-9418.2009008

计算机科学与探索 ›› 2022, Vol. 16 ›› Issue (3): 574-581.DOI: 10.3778/j.issn.1673-9418.2009008

人工噪声辅助下的多天线隐蔽通信技术分析

郭辉, 乔婷⁺()

河南理工大学物理与电子信息学院,河南焦作 454000

收稿日期:2020-09-04 修回日期:2020-10-27 出版日期:2022-03-01 发布日期:2020-11-06
通讯作者: + E-mail: qiaoting5678@163.com
作者简介:郭辉（1978—）,男,河南焦作人,博士,教授,主要研究方向为隐蔽通信、无线协作通信。
乔婷（1993—）,女,河南商丘人,硕士研究生,主要研究方向为隐蔽通信。
基金资助:
国家自然科学基金(41904078);河南省科技攻关项目(182102210307);河南理工大学基本科研业务费(NSFRF180309);江苏省工程实验室开放课题(JSLERS-2018-005)

Analysis of Multiple Antenna Covert Communication Technology Assisted by Artificial Noise

GUO Hui, QIAO Ting⁺()

School of Physics and Electronic Information, Henan Polytechnic University, Jiaozuo, Henan 454000, China

Received:2020-09-04 Revised:2020-10-27 Online:2022-03-01 Published:2020-11-06
About author:GUO Hui, born in 1978, Ph.D., professor. His research interests include covert communications and wireless cooperative communications.
QIAO Ting, born in 1993, M.S. candidate. Her research interest is covert communications.
Supported by:
National Natural Science Foundation of China(41904078);Key Scientific and Technological Projects in Henan Province(182102210307);Basic Scientific Research Operating Expenses of Henan Polytechnic University(NSFRF180309);Open Project of Jiangsu Engineering Laboratory(JSLERS-2018-005)

摘要/Abstract

摘要：

考虑一个多天线的隐蔽通信系统,该系统由一个多天线的发射机、一个双天线的合法用户和一个单天线且具有功率检测功能的窃听用户组成。首先,提出了两种分别基于最大比值传输（MRT）和发射天线选择（TAS）的隐蔽通信方案,为了帮助实现发射机和合法用户间的隐蔽通信,工作在全双工模式下的合法用户还会通过发射人工噪声（AN）来干扰窃听者的检测。其次,基于对系统的理论分析,分别推导了两种方案下窃听者的检测错误概率、系统的连接概率和隐蔽吞吐量。另外,在窃听者的检测性能最佳的假设下,分别得到了两种方案下窃听者的最小检测错误概率和最优检测门限值。除此之外,还提出了一种优化系统隐蔽性能的方案,该方案通过优化人工噪声发送功率和信息传输速率的值,可以得到满足隐蔽条件下系统的最大隐蔽吞吐量。最后通过仿真证明,所提系统可实现隐蔽通信,且当系统采用发射天线选择方案时,系统隐蔽性能更佳。

关键词: 隐蔽通信, 人工噪声（AN）, 检测错误概率, 最优检测门限值, 隐蔽吞吐量

Abstract:

A multiple antenna covert communication system is considered, which consists of a multi-antenna transmitter, a two-antenna legitimate user and a single-antenna eavesdropping user with power detection function. First, two transmission schemes based on maximum ratio transmission (MRT) and transmit antenna selection (TAS) are proposed respectively. In order to help to achieve covert communication between the transmitter and the legitimate user, the legitimate user working in full-duplex model also emits artificial noise (AN) to interfere with the eavesdropper’s detection. Then, based on the theoretical analysis of the system, the eavesdropper’s detection error probabilities, the system connection probabilities and covert throughputs under two schemes are derived respectively. Under the assumption of the eavesdropper’s optimal detection performance, its minimum detection error probabilities and the optimal detection thresholds under the two schemes are obtained, respectively. In addition, an optimization scheme is proposed, which can be used to obtain the maximum covert throughput of the system when the covert conditions are satisfied by optimizing the values of the transmission power of the artificial noise and the information transmission rate. The simulation results show that the proposed system can achieve covert communication, and the system has better performance when the transmitter adopts the TAS transmission scheme.

Key words: covert communication, artificial noise (AN), detection error probability, optimal detection threshold, covert throughput

中图分类号:

郭辉, 乔婷. 人工噪声辅助下的多天线隐蔽通信技术分析[J]. 计算机科学与探索, 2022, 16(3): 574-581.

GUO Hui, QIAO Ting. Analysis of Multiple Antenna Covert Communication Technology Assisted by Artificial Noise[J]. Journal of Frontiers of Computer Science and Technology, 2022, 16(3): 574-581.

图/表 5

图1 隐蔽通信系统模型图

Fig.1 Model diagram of covert communication system

图2 平均检错概率 ξ -和AN的发送功率最大值 P b max的关系

Fig.2 Average detection probability ξ - vs. maximum transmission power P b maxof AN

图3 Alice-Bob的连接概率 O ab和 P b max的关系

Fig.3 Connection probability O ab between Alice and Bob vs. P b max

图4 系统隐蔽吞吐量 Γ和传输速率 R ab的关系

Fig.4 System covert throughput Γvs. transmission rate R ab

图5 系统隐蔽吞吐量 Γ和发送天线数 n t的关系

Fig.5 System covert throughput Γ vs. the number of transmitting antennas n t

参考文献 17

[1]	GOLDSMITH A. 无线通信[M]. 杨鸿文, 李卫东, 郭文彬, 等译. 北京: 人民邮电出版社, 2007: 23-44.
	GOLDSMITH A. Wireless communication[M]. YANG H W, LI W D, GUO W B, et al. Beijing: People’s Post and Telecommunications Press, 2007: 23-44.
[2]	MENEZES A J, VANSTONE S A, OORSCHOT P C V. 应用密码学手册[M]. 胡磊, 王鹏, 译. 北京, 电子工业出版社, 2005: 1-36.
	MENEZES A J, VANSTONE S A, OORSCHOT P C V. Handbook of applied cryptography[M]. HU L, WANG P. Beijing: Electronic Industry Press, 2005: 1-36.
[3]	ZHANG W, CHEN J, KUO Y H, et al. Artificial-noise-aided optimal beamforming in layered physical layer security[J]. IEEE Communications Letters, 2019, 23(1): 72-75. DOI URL
[4]	KARAS D S, BOULOGEORGOS A A A, KARAGIANNIDIS G K, et al. Physical layer security in the presence of interference[J]. IEEE Wireless Communication Letters, 2018, 6(6): 802-805. DOI URL
[5]	BOUABDELLAH M, BOUANANI F E, ALOUINI M S. A PHY layer security analysis of uplink cooperative jamming-based underlay CRNs with multi-eavesdroppers[J]. IEEE Transactions on Cognitive Communications and Networking, 2020, 6(2): 704-717. DOI URL
[6]	FU Y Q, GUO S N, YU Z X. The modulation technology of chaotic multi-tone and its application in covert communication system[J]. IEEE Access, 2019, 7: 122289-122301. DOI URL
[7]	BASH B A, GOECKEL D, TOWSLEY D. Limits of reliable communication with low probability of detection on AWGN channels[J]. IEEE Journal on Selected Areas in Communications, 2013, 31(9): 1921-1930. DOI URL
[8]	WANG J Q, TANG W B, ZHU Q Q, et al. Covert communication with the help of relay and channel uncertainty[J]. IEEE Wireless Communications Letters, 2019, 8(1): 317-320. DOI URL
[9]	SOLTANI R, GOECKEL D, TOWSLEY D, et al. Covert wireless communication with artificial noise generation[J]. IEEE Transactions on Wireless Communications, 2017, 17(11): 7252-7267. DOI URL
[10]	SHAHZAD K, ZHOU X Y, YAN S H, et al. Achieving covert wireless communications using a full-duplex receiver[J]. IEEE Transactions on Wireless Communications, 2018, 17(12): 8517-8530. DOI URL
[11]	SHU F, XU T Z, HU J S, et al. Delay-constrained covert communications with a full-duplex receiver[J]. IEEE Communications Letters, 2019, 8(3): 813-816.
[12]	HE B, YAN S H, ZHOU X Y, et al. On covert communication with noise uncertainty[J]. IEEE Communications Letters, 2017, 21(4): 941-944. DOI URL
[13]	SHAHZAD K, ZHOU X Y, YAN S H. Covert communication in fading channels under channel uncertainty[C]// Proceedings of the 85th IEEE Vehicular Technology Conference, Sydney, Jun 4-7, 2017. Piscataway: IEEE, 2017: 1-5.
[14]	EVERETT E, SAHAI A, SABHARWAL A. Passive self-interference suppression for full-duplex infrastructure nodes[J]. IEEE Transactions on Wireless Communications, 2014, 13(2): 680-694. DOI URL
[15]	LEE S, BAXLEY R J, WEITNAUER M A, et al. Achieving undetectable communication[J]. IEEE Journal of Selected Topics in Signal Processing, 2015, 9(7): 1195-1205. DOI URL
[16]	GRADSHTEYN I S, RYZHIK I M. Table of integrals, series and products[M]. San Diego: Academic Press Professional, Inc., 2007.
[17]	ZHENG T X, WANG H M, YUAN J H, et al. Multi-antenna transmission with artificial noise against randomly distributed eavesdroppers[J]. IEEE Transactions on Communications, 2015, 63(11): 4347-4362. DOI URL

人工噪声辅助下的多天线隐蔽通信技术分析

Analysis of Multiple Antenna Covert Communication Technology Assisted by Artificial Noise

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