为了提高电磁矢量传感器波束形成的抗干扰能力,根据四元数具有更强的正交约束的这一特性,故四元数能更好地描述电磁矢量传感器的正交结构;因此,首先建立了四元数电磁矢量传感器模型,在此模型基础上推导出四元数MMSE(最小均方误差)波束形成算法;对于复数和四元数两种算法而言,在同等低快拍数的情况下,基于四元数的MMSE波束形成算法比复数MMSE波束形成算法的输出信干噪比(SINR)大,而最小均方误差(MMSE)小;因此四元数方法响应速度快,滤波效果更好,抗干扰能力更强。仿真实验验证了算法有效性。
In order to advance the capability in filtering and anti-jamming of electromagnetic vector-sensors,quaternion electromagnetic vector-sensors model is established firstly in the paper.Based on the model,a quaternion MMSE beamforming algorithm is derived.To the complex and quaternion algorithms,quaternion algorithm gains more output SINR,while gets less MMSE in the condition of the same low time space.So the means of quaternion is superior in the velocity of convergence,the capability in filtering and anti-jamming.The simulation experiments are given to validate the proposed algorithm.