基于降维四元旋转不变子空间算法的波达角估计  

DOA estimation using dimension reduction quaternion estimation of signal parameters via rotational invariance techniques

作　　者：赵继超[1] 陶海红[1] 高志奇[1] 

机构地区：[1]西安电子科技大学雷达信号处理国家重点实验室,陕西西安710071

出　　处：《电波科学学报》2015年第3期483-490,共8页Chinese Journal of Radio Science

基　　金：国家重点基础研究发展计划(973计划)(2011CB707001);国家自然科学基金(60971108);航空基金(2012***009);西安电子科技大学基本科研业务费资助项目(BDY061428)

摘　　要：在四元数模型下,由同点配置正交小磁环短偶极子二维矢量天线组成的均匀线阵在利用传统四元数旋转不变子空间算法(Quaternion Estimation of Signal Parameters via Rotational Invariance Techniques,Q-ESPRIT)估计极化信号角度时,须提前已知信号方位角或者俯仰角,且存在"四元数模型相干"问题,导致四元数模型正交信息的丢失以及需借助长矢量模型估计入射信号的极化信息.针对上述问题提出了基于互相关矩阵的降维Q-ESPRIT算法,所提算法充分利用了四元数模型的正交性和结构特征,仅通过一次特征分解就可以估计出信号的波达角和极化信息,降低了运算量.最后,通过计算机仿真实验验证了所提算法的有效性.In quaternion model,both azimuth and elevation angles of signals should be known before using the conventional quaternion estimation of signal parameters via rotational invariance techniques(Q-ESPRIT)to estimate the polarized signal angles with uniform linear array(ULA),which consists of co-centered orthogonal loop and dipole(COLD)antennas.The existence of'quaternion model coherence problem'also results in the loss of orthogonal information and the necessity of long vector model for signals' the polarization information estimation.This paper solves the above problem effectively by proposing a novel dimension reduction quaternion ESPRIT(DRQ-ESPRIT)algorithm based on cross-correlation matrix.Making full use of the orthogonality and data structure of the quaternion model,the proposed algorithm can estimate the direction of arrivals(DOA)and polarization information of signals with one time eigenvalue decomposition(EVD)operation,and has a less computation.Finally,the numerical simulations show the effectiveness of the proposed method.

关 键 词：同点配置正交小磁环短偶极子天线 DOA 四元数模型相干 降维Q-ESPRIT 

分 类 号：TN911.7[电子电信—通信与信息系统]