多径环境下联合时间反演和PCA降维的阵列幅相误差校正

Gain and phase errors calibration for joint time reversal and PCA dimensionality reduction over multipath environment

针对多径环境下信号源相干导致阵列幅相误差校正不准确的问题,提出了一种联合时间反演和主成分分析的阵列幅相误差校正算法。所提算法利用时间反演的空时同步聚焦特性获取目标的回传矩阵信号以抑制多径效应并降低信号源相干性。时间反演的引入使阵列接收到的回传信号矩阵维度增大,从而增加了算法的计算复杂度,因此借助主成分分析思想对修正后的时间反演回传矩阵进行降维重构以降低算法的计算复杂度。仿真结果表明,在多径环境下,所提算法能够以较低的计算复杂度实现对阵列幅相误差的有效校正。

Aiming at the problem of inaccurate calibration of the array gain and phase errors caused by the signal source coherence in the multipath environment,a combination of time reversal(TR)and principal component analysis(PCA)calibration algorithm was proposed.The space-time synchronization focusing characteristic of TR was applied to obtain the return signal matrix of the target to suppress the multipath effect and reduce the signal source coherence.However,in view of the problem that the introduction of TR would make the dimension of the return signal matrix received by the ar-ray larger and increase the calculation complexity of the algorithm,PCA was utilized to implement dimensionality reduc-tion reconstruction on the revised TR return signal matrix to reduce the computational complexity.The simulation results show that the proposed algorithm can effectively calibrate the gain and phase errors of the array with lower computational complexity in a multipath environment.