双四元数矢量传感器阵列模型和电磁源定位

Biquaternion Vector-Sensor Array Model and Electromagnetic Source Localization

从四元数形式的麦克斯韦方程组的角度出发为电磁矢量传感器阵列建立了纯双四元数模型(PB-MOD-EL).理论分析表明采用双四元数框架下的数据协方差矩阵可以去除每个电磁矢量传感器内部的电场天线或者磁场天线噪声的相关性,使得相应的纯双四元数多重信号分离算法(PB-MUSIC)可以扩展到相关噪声的场合.实验仿真结果证明了该算法和理论分析的正确性.

Based on the quaternion formulation of Maxwell equations,a pure biquaternion model（PB-MODEL） for electromagnetic vector-sensor array is proposed.Theoretical analysis shows that the pure biquaternion data covariance matrix can decorrelate the coherent noise among the electric or magnetic antennas of a vector-sensor.As a result,the corresponding pure biquaternion multiple signals classification algorithm（PB-MUSIC） can be extended to coherent noise cases.Numerical simulation verifies the correctness of our algorithm and the analytical results.