基于酉变换ESPRIT的相干信源DOA估计算法

DOA estimation of coherent signals based on unitary transformation ESPRIT

为了增强重构Toeplitz矩阵算法的估计性能,降低计算复杂度,提出了适用于相干信源波达方向估计的Toep-UESPRIT算法。它使用利用旋转不变性的信号参数估计代替多重信号分类,避免了谱搜索,并且在构造Toeplitz矩阵的基础上,两次构建centro-Hermitian矩阵,利用酉变换将复数域的特征值分解和总体最小二乘问题的求解实数化,使计算量大大降低。同时,由于centro-Hermitian矩阵的构造过程重复利用了接收数据,估计精度得到大幅提高。实验仿真和分析证明了该算法的正确性和有效性。

To improve the estimation performance and decrease the calculation complexity, a direction of ar- rival estimation of coherent signals named Toep-UESRPIT is proposed. The estimation of signal parameters via rotational invariance techniques（ESPRIT） instead of multiple signal classification（MUSIC） is used to avoid the peak searching. Based on the Toeplitz matrix, centro-Hermitian matrices are constructed twice. Also, eigenval- ue decomposition and total least square problems are changed into real ones by unitary transformation to reduce the computational complexity. Besides, the algorithm essentially doubles the number of available measure- ments. Increased estimation accuracy can, therefore, be achieved. Simulation results and analysis prove the va- lidity and effectiveness of the algorithm.