四元数在均匀圆形矢量传感器阵列信号参数估计中的应用

Quaternion application in parameters estimation of uniform circular vector-sensor array signal

四元数的四维超复数结构是一种正交结构,各矢量传感器分量保持其固有的正交性,从而提高了矢量传感器阵列的抗干扰能力以及分辨力。在均匀圆形矢量阵列信号的参量估计中引入四元数理论,建立基于四元素的电磁矢量传感器阵列信号接收模型。充分利用四元数的多维正交特性,结合四元数矩阵理论及已有算法对电磁矢量传感器阵列信号的波达方向和极化信息进行联合估计,仿真实验验证了方法的有效性。并与传统的基于长矢量的MUSIC算法(V-MUSIC算法)进行比较,结果表明,基于四元素的信号接收模型可显著提高信号参数的估计精度。

Four dimensional super plural structure of a quaternion is an orthogonal structure,which can keep the inherent orthogonality of each vector sensor component,and improve anti-interference ability and discrimination of the vector sensor array.Quaternion theory was applied into parameter estimation of uniform circular vector of array signals,the electromagnetic vector sensor array receiving signal model was established based on quaternion,and joint estimation of the electromagnetic vector sensor array signal's DOA and polarization information using quaternion's multidimensional orthogonal properties and the matrix theory combining with existing algorithm were realized.Simulation results show the effectiveness of the method.Compared with V-MUSIC,the quaternion model can obviously increase the signal parameter precision.