针对多输入多输出系统半盲信道估计问题,提出一种基于张量分解的半盲联合信号检测和信道估计算法。其思想是利用张量分解的唯一性,对接收信号构造基于张量分解的平行因子模型,并利用正则交替最小二乘算法对信道和发送信号进行联合迭代估计。仿真结果表明:与传统基于导频信道估计方法相比,所提算法只需少量的导频序列即可获得较高的信道估计精度;与已有的交替最小二乘算法相比,所提算法消除了矩阵求伪逆时可能带来的病态问题,收敛速度较快。文章还详细的分析了正则系数和收敛条件等参数对正则交替最小二乘算法性能的影响。
A tensor-based semi-blind joint signal detection and channel estimation algorithm was proposed for multiple input multiple output system. Taking advantage of the uniqueness of tensor decomposition, a tensor decomposition based parallel factor model of the received signal was constructed, and a regular alternating least squares algorithm was designed for joint channel estimation and signal detection. Compared with the traditional method based on pilot channel estimation, the pro- posed algorithm has higher estimation precision with few pilot sequences; Compared with the alternating least squares algo- rithm, the proposed algorithm has a faster convergence speed, and dose not suffer from ill-conditional problem when it in- volves in the pseudo-inverse operation. Moreover, the effect of convergence condition and regular coefficient on the regular alternating least squares algorithm was analyzed in detail.