中文摘要：

为提高声场空域中目标参数估计的精度,将四元数理论应用于均匀圆型声矢量阵列的二维空间角度估计中,建立了基于四元数模型的信号接收模型,推导了圆型声矢量阵的四元数导向矢量,给出了二维波达角估计的四元数域空间谱算法.考虑算法的软硬件可实现性,理论分析了算法的内存占用空间和计算量.此外,分析了圆阵半径对侧向性能的影响,为实际工作中圆阵的半径选取提供了一定的依据.仿真结果表明,基于四元数模型的MUSIC（Multiple Signal Classification）算法的分辨力较高,抗干扰能力较强,提高了信号参数估计的精度.

英文摘要：

In order to improve the accuracy of target parameter estimation,the quaternion theory was applied to the two-dimensional DOA （Direction of Arrival） estimation of the uniform circular acoustic vector array.Receiving signal model based on the quaternion model was established,quaternion vector was deduced,and a quaternion field spatial spectrum estimation algorithm was presented.Considering software and hardware of algorithm realization,theoretical analyses show that the required storage space and computing operations of the quaternion model significantly decrease,and the simulation results show that the proposed MUSIC （Multiple Signal Classification） algorithm has higher resolution,stronger anti-jamming capability and the improved accuracy of the signal parameter estimation.