非理想情况下无线中继系统多域抗干扰方案  

A Multi-Domain Anti-Jamming Scheme in Wireless Relay Systems Under Imperfect Conditions

作　　者：李永成 周小猛 高贞贞[2,3] 白少壮 李康泽 LI Yongcheng;ZHOU Xiaomeng;GAO Zhenzhen;BAI Shaozhuang;LI Kangze(State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System,Luoyang,Henan 471003,China;School of Information and Communications Engineering,Xi’an Jiaotong University,Xi’an 710049,China;National Mobile Communications Research Laboratory,Southeast University,Nanjing 210096,China)

机构地区：[1]电子信息系统复杂电磁环境效应国家重点实验室,河南洛阳471003 [2]西安交通大学信息与通信工程学院,西安710049 [3]东南大学移动通信国家重点实验室,南京210096

出　　处：《西安交通大学学报》2021年第6期158-165,共8页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(62071367);CEMEE国家重点实验室开放课题(2020Z0204B);东南大学移动通信国家重点实验室开放课题(2020D11)。

摘　　要：针对非理想情况下无线通信中的中继系统容易收到干扰机攻击的问题,提出了一种基于Stackelberg博弈的联合功率域和时域的无线中继系统多域抗干扰方案。首先,在不确定信道信息及功率与时间参数估计误差的非理想情况下,根据Stackelberg博弈的理论,设置了包括源节点和中继节点在内的通信方为领导者,同时设置了干扰机作为跟随者,其中通信方工作在半双工模式,参数包含源节点发送功率、中继节点发射功率和跳频周期,而干扰机的参数包括信号检测时间和干扰信号功率分配;然后,根据接收端的等效信干噪比分别构建通信方和干扰机的效用函数,通信方以最大化自身效用函数为目标来设置其参数从而提升抗干扰效果,干扰方同样以最大化自身效用函数为目标调整自身参数来提升干扰效果;最后,采用逆向归纳法对博弈双方效用函数最大化问题进行求解,推导了干扰机最优参数的闭式表达,并采用基于指数分布的遗传算法求解通信方的最优参数。仿真结果表明,当通信方发射功率代价因子为0.7时,所提基于Stackelberg博弈的无线中继系统多域抗干扰方案的通信方效用函数值相比于单功率域博弈方案、单时间域博弈方案和多域随机方案提高至少一倍,其干扰机效用函数值相比于单功率域博弈方案、单时间域博弈方案和多域随机方案降低至少50%。A multidomain anti-interference scheme with joint power domain and time domain in the wireless relay system based on Stackelberg game is proposed to solve the problem that under imperfect circumstances the relay system in the wireless communication is easy to be attacked by jammer.First,in the non-ideal case of incomplete channel information and estimation errors of power and time parameters,a legitimate system including the source node and relay node is set as the leader according to the theory of Stackelberg game,and the jammer is set as a follower.The legitimate system works in a half-duplex mode,and its parameters include the transmit power of source node,the transmit power of relay node,and the frequency hopping period,while the parameters of the jammer include the signal detection time and the power allocation of the interference signal.Then,utility functions of the leader and the follower are respectively constructed based on the equivalent signal-to-interference-noise ratio of receiver.Therefore,the legitimate system sets its parameters to maximize its own utility function so as to improve the effect of anti-jamming while the jammer also adjusts its parameters to maximize its own utility function so as to improve the effect of jamming.Finally,the backward induction method is used to solve the problem of maximizing the utility functions of the two parts in the game.Closed form expressions of the multi-domain jamming parameters are derived,and a genetic algorithm based on exponential distribution is proposed to obtain the optimal multi-domain parameters of the source and relay.Simulation results show that,when the transmitting power cost factor is 0.7,the legitimate utility function value of the proposed scheme is at least twice of those achieved by the power-domain game scheme,time-domain game scheme and multi-domain random scheme,and the jammer utility function value reduces at least 50%compared to those of the power-domain game scheme,time-domain game scheme and multi-domain random scheme.

关 键 词：无线中继系统 不确定信道信息 STACKELBERG博弈 抗干扰 

分 类 号：TN973.3[电子电信—信号与信息处理]