基于四元数的声压振速联合方位估计算法

摘要

常规MUSIC波达方向估计算法的缺点是不能处理相干信号.针对这一情况,文中引入了四元数理论,建立了二维矢量水听器的四元数输出模型,并在此基础上提出了一种声矢量阵声压振速联合方位估计算法.与常规MUSIC方位估计算法相比,该算法利用了四元数紧凑的数据表达形式和较强的正交性约束能力,降低了内存需求和运算复杂度,在不经过任何预处理的情况下可以分辨相干目标.同时,由于利用了声压振速的组合指向特性,算法抗各向同性干扰的能力较强.仿真实验证明了算法的有效性.%One deficiency of traditional MUSIC algorithm is the inability to deal with coherent signals. In response to this situation, the quaternion algebra is introduced to vector sound data processing and a quaternion model of 2-D vector hydrophone is constructed. Based on the model, a joint Direction Of Arrival(DOA) algorithm using vector hydrophone array's pressure and velocity output is presented. Compared with the traditional MUSIC method, the quaternion-MUSIC algorithm has less memory space requirement and computational complexity and can deal with the coherent signals without any preprocessing method by taking the quaternion algebra's merits of compact handling of the data and higher orthogonality constraints. In addition, the new algorithm has a higher ability to restrain the i-sotropic interference by taking use of the coherence of pressure and velocity. Simulation results verify the efficacy of the proposed algorithm.