一种基于联合加权和截断的毫米波大规模MIMO信道估计

A mmWave Massive MIMO Channel Estimation Based on Joint Weighted and Truncated Nuclear Norm

提出一种联合加权和截断核范数的毫米波大规模多输入多输出(MIMO)信道估计算法。针对毫米波大规模MIMO信道估计问题中训练和反馈开销大的问题,首先利用毫米波信道天线角度域稀疏的特性,把信道估计问题转化为低秩矩阵恢复问题。采用一种有效而灵活的秩函数——联合加权截断核范数作为核范数的松弛,构造出一种新的矩阵恢复模型用于信道估计问题,以最小化加权截断核范数为优化目标,并利用交替优化框架求解。仿真结果表明,该方法可以有效地提高信道估计的精度,并且具有可靠的收敛性。

In this paper,a millimeter-wave massive multiple input multiple output(MIMO)channel estimation algorithm based on joint weighted and truncated nuclear norm is proposed.Aiming at the problem of high training and feedback overhead in millimeter-wave massive MIMO channel estimation,firstly,the channel estimation problem is transformed into a low-rank ma⁃trix recovery problem by using the sparse antenna angle domain of millimeter-wave channel.An effective and flexible rank func⁃tion,the joint weighted and truncated kernel norm,is adopted as the relaxation of the nuclear norm,and a new matrix recovery model is constructed for channel estimation.The optimization objective is to minimize the weighted and truncated nuclear norm,and it is solved by an alternating optimization framework.The simulation results show that this method can effectively improve the accuracy of channel estimation and has reliable convergence.