基于稀疏重构的L型阵列的二维波达方向估计

L-Shaped Array-Based Two Dimensional Direction-of-Arrival Estimation in a Sparse Reconstruction Framework

在L型阵列下,基于稀疏重构提出一种可实现自动角度配对的二维波达方向估计方法。首先,根据两均匀线阵接收数据的互相关矩阵构建二维稀疏线性模型;然后,通过数学变换将该二维模型转换为联合稀疏重构模型之内,通过联合稀疏重构算法分别单独获得信源方位角和俯仰角的粗略估计,并将此信息融入二维稀疏线性模型,大大减少了模型中原子个数,达到降低计算复杂度的目的;其次,从理论上分析了新方法可分辨的信源个数和计算复杂度;最后,通过一系列计算机仿真将新方法与其它子空间类二维波达方位估计方法进行比较,表明了新方法在估计精度上的优越性。

A novel method for two-dimensional direction-of-arrival estimation and automatically paired is proposed in a sparse reconstruction framework. First, two-dimensional sparse linear model is built based on the cross-correlation matrix of the signals received by two uniform linear arrays. Then this two-dimension model is transformed into simultaneous sparse reconstruction model by means of some mathematical manipulations. Second, the later model is solved, and coarse estimations of elevation and azimuth are obtained and embedded in the two-dimensional sparse linear model. Consequently, the number of active atoms is reduced and the computational burden is decreased. Moreover, the number of signal sources resolved by this novel approach and the computational complexity are analyzed in theory. Finally, the excellent estimation accuracy of the method is demonstrated through a series of computer simulations.