信道均值反馈下多天线干扰信道中的预编码
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摘要
研究了多天线干扰信道系统的预编码设计问题,这里干扰信道具备视距路径,可以建模为莱斯衰落信道。假设发送端仅能获取信道统计信息——信道均值矩阵,分别基于最大信干噪比和最大信干噪差准则,提出了两种预编码算法。对第一种算法,首先引入辅助变量将非凸规划问题转成凸问题,然后提出了二分搜索算法并且结合凸优化软件进行求解;对第二种算法,将原问题分解为若干子问题分别求解,以解析的形式给出最优解。计算机仿真验证了提出算法的收敛性,分析了莱斯因子对系统性能的影响,并且与若干典型发送方案作对比,证明了提出算法的优越性。
This paper studies the precoder design in multi-input multi-output(MIMO) interference channels, where it is assumed that interference channels have line-of-sight(LOS) paths and can be modeled as Rice fading channels,and the transmitter can only retrieve channel statistical information — channel mean matrices. Based on maximum signal-to-interference-plus-noise ratio(SINR) and signalto-interference-plus-noise difference(SIND) criteria, two precoding methods are proposed. For the first method, an auxiliary variable is introduced so that the original non-convex problem is transformed into a convex one. Consequently, this problem is solved by the proposed bisection method that incorporates convex optimization softwares. For the second method, the original problem is decom-posed into several sub-problems and the corresponding analytical solution is derived. By computer simulation, this paper demon-strates the convergence of the proposed algorithm and analyzes the effect of Rice factor on the system performance. The proposed methods are compared with a few classical transmission schemes and the results show the superiority of the proposed methods.
This paper studies the precoder design in multi-input multi-output(MIMO) interference channels, where it is assumed that interference channels have line-of-sight(LOS) paths and can be modeled as Rice fading channels,and the transmitter can only retrieve channel statistical information — channel mean matrices. Based on maximum signal-to-interference-plus-noise ratio(SINR) and signalto-interference-plus-noise difference(SIND) criteria, two precoding methods are proposed. For the first method, an auxiliary variable is introduced so that the original non-convex problem is transformed into a convex one. Consequently, this problem is solved by the proposed bisection method that incorporates convex optimization softwares. For the second method, the original problem is decom-posed into several sub-problems and the corresponding analytical solution is derived. By computer simulation, this paper demon-strates the convergence of the proposed algorithm and analyzes the effect of Rice factor on the system performance. The proposed methods are compared with a few classical transmission schemes and the results show the superiority of the proposed methods.
引文
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[15]GRANT M,BOYD S.CVX:Matlab software for disci plined convex programming[DB/OL].(2017-12-xx)[2018-05-31].http://cvxr.com/cvx.
[2]江雪,郑宝玉.干扰对齐技术研究综述[J].信号处理,2015,31(5):570-580.
[3]JAFAR S A,FAKHEREDDIN M J.Degrees of freedom for the MIMO interference channel[J].IEEE Transactions on Information Theory,2007,53(7):2637-2642.
[4]CADAMBE V R,JAFAR S A.Interference alignment and degrees of freedom of the K-user interference channel[J].IEEE Transactions on Information Theory,2008,54(8):3425-3441.
[5]SUH C,TSE D.Interference alignment for cellular networks[C].IEEE Allerton Conference on Communication,Control,and Computing,2008:1037-1044.
[6]应腾达,冯文江,蒋卫恒,等.基于分布式空时干扰对齐的MIMO干扰信道自由度研究[J].通信学报,2018(1):137-146.
[7]ARZYKULOV S,NAURYZBAYEV G,TSIFTSIS T A,et al.On the capacity of wireless powered cognitive relay network with interference alignment[C].2017 IEEE Global Communications Conference.IEEE,2017:1-6.
[8]HA K H,VU T T,DUONG T Q,et al.On the interference alignment designs for secure multiuser MIMO systems[Z].arXiv:1508.00349[math.OC],2015.
[9]WANG K,LI H,YU F R,et al.Interference alignment in virtualized heterogeneous cellular networks with imperfect channel state information[J].IEEE Transactions on Vehicular Technology,2017,66(2):1519-1532.
[10]LI L,QIU L,WEI G.Decentralised precoding scheme for MIMO interference channels[J].Electronics Letters,2012,48(15):957-959.
[11]ZHOU W.Precoding methods for multi-input multi-ouput interference channels with channel covariance feed back[J].IET Communications,2015,9(4):517-525.
[12]PETERS S W,HEATH R W.Cooperative algorithms for MIMO interference channels[J].IEEE Transactions on Vehicular Technology,2011,60(1):206-218.
[13]曾浩,袁昂飞,刘玲.一种多区协同的区间干扰抑制方法[J].电子技术应用,2012,38(3):110-112.
[14]BOYD S,VANDENBERGHE L.Convex optimization[M].Cambridge Press,UK,2004.
[15]GRANT M,BOYD S.CVX:Matlab software for disci plined convex programming[DB/OL].(2017-12-xx)[2018-05-31].http://cvxr.com/cvx.