基于四元数MUSIC算法的声矢量传感器阵列二维波达角估计  

2Ddirection of arrival estimation with acoustic vector sensor array based on quarternions MUSIC algorithm

作　　者：李新波[1] 孙海欣[2] 李晓青[1] 赵洋[1] 梁亮[1] 房小朋 

机构地区：[1]吉林大学通信工程学院,长春130022 [2]长春大学电子信息工程学院,长春130022

出　　处：《吉林大学学报（工学版）》2014年第5期1453-1459,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(51375207);吉林省青年科研基金项目(20140520064JH)

摘　　要：利用声矢量传感器导向矢量和四元数之间的相似性,推导并建立了以四元数形式表示的导向矢量,给出了声矢量传感器阵的四元数模型,理论分析了导向矢量与噪声子空间的正交性,在此基础上提出了基于四元数MUSIC空间谱的二维波达角估计方法。仿真实验表明,四元数MUSIC算法的分辨力要优于矢量MUSIC算法,在低信噪比下具有较高的DOA估计精度,验证了四元数的正交性优势,同时本文方法不局限于L线阵和面阵,对其他阵型也具有普遍适用性。The similarity between the steering vector and quaternion of acoustic vector sensor is utilized to derive and establish the quaternion expressing form of the steering vector, and the quaternion model of the acoustic vector sensor array is proposed. Moreover, the orthogonality of the steering vector and noise subspace is theoretically analyzed. Based on the quaternion Multiple Signal Classification （MUSIC） spatial spectrum, a 2-D Direction of Arrival （DOA） estimation method is proposed. Experiment results show that the resolution of the quaternion MUSIC algorithm is better than that of the vector MUSIC algorithm. In low Signal-to Noise Ratio （SNR）, the quaternion MUSIC algorithm has higher accuracy of DOA estimation. At the same time, this method can be applied not only to the L-shape array and plane array, but also to other array formations.

关 键 词：信息处理技术 四元数 声矢量传感器 MUSIC算法 DOA估计 

分 类 号：TN911.7[电子电信—通信与信息系统]