基于联合对角化的远场相干信号波达方向估计

Direction of Arrival Estimation of Far-field Coherent Signals Using Joint Diagonalization

提出一种基于联合对角化的远场相干信号波达方向估计算法。利用阵元接收数据构造高阶累积量矩阵,通过矩阵联合对角化得到阵列广义流形矩阵的估计。利用阵列流形矩阵的矩阵特性及最小多项式的性质,消除联合对角化带来的顺序不确定性,得到波达方向的估计。该方法无需进行角度搜索,且能处理不同相干群内部分波达方向相同的情形。计算机仿真实验验证了算法的有效性。

Anew algorithm for direction of arrival （DOA） of coherent signals using joint diagonalizafion was proposed. A set of higher-order cumulant matrices were first devised, the generalized array manifold matrix was then estimated using the technology of joint diagonalization. Finally, permutation uncertainty inherent in the estimation of the generalized array manifold matrix was eliminated and DOAs were estimated, based on the matrix structure of the array manifold matrix and properties of minimum polynomial of matrix. The proposed algorithm does not need angle searching, and can be applied to the cases when soma DOAs in different coherent group are the same. The effectiveness of the proposed algorithm is verified by computer simulation results.