基于加权空间平滑的单次快拍DOA估计算法

Signal snapshot DOA estimation algorithm based on weighted spatial smoothing

针对均匀线性阵列的相干信源波达方向估计问题,提出了两种基于加权空间平滑的单次快拍DOA估计算法。第一种改进算法对阵列接收的单次快拍数据构造伪协方差矩阵,对伪协方差矩阵进行特殊结构的子阵划分,运用嵌套的空间平滑算法求得加权矩阵,通过加权求和方法同时实现信源间的解相干和波达方向估计。第二种改进算法是在第一种算法的基础上,利用能量最大化准则对权值和加权矩阵个数进行筛选,选出最优的权值和其对应的加权矩阵,在不降低算法性能的基础上,大大减少运算量。理论分析和仿真结果都表明了该文算法的有效性和正确性。

According to coherent source DOA estimation based on uniform linear array,proposing two single⁃shot DOA estimation algorithms based on weighted spatial smoothing.The first improved algorithm uses a single snapshot of the data received by the array to construct a pseudo⁃covariance matrix,divides it into sub⁃arrays with special structures,the weighting matrix is obtained by using the nested spatial smoothing algorithm,the decoherence and direction of arrival estimation between the sources are achieved simultaneously by the weighted summation method.The second improved algorithm is based on the first algorithm,using the energy maximization criterion to screen the weights and weighting matrices to find the optimal weights and corresponding weighting matrices,which can reduce the amount of operations without decreasing the performance of the algorithm.The effectiveness and correctness of the algorithm in this paper can be confirmed by theoretical analysis and simulation results.