基于时间反转的稀疏阵多目标聚焦方法
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摘要
针对时间反转方法中对远场多个目标的聚焦问题时,需要对得到的传输矩阵进行特征值分解,则要求该矩阵为方阵,这就要求天线的探测发射单元与接收单元数量相同。考虑雷达的工作特性,本文使用部分天线单元做探测天线单元,并将得到端口的散射参数矩阵重新构造后进行特征值分解。主特征值个数对应目标个数,对主特征值对应的特征向量进行时间反转并计算其远场方向图,便可以得到远场方向图上对目标的聚焦。仿真结果表明,该方法可准确有效的在多个目标处分别聚焦,并具有良好的聚焦性能。
When focusing on multiple targets in the far field in the time reversal method, the eigenvalue decomposition of the obtained transmission matrix is required, and the matrix is required to be a square matrix, which requires that the antenna has the same number of detection transmitting units and receiving units. Considering the working characteristics of radar, this article uses some antenna elements to detect the antenna elements, and reconstructs the scattering parameter matrix of the port to perform eigenvalue decomposition. The number of main eigenvalues corresponds to the number of targets. The eigenvectors corresponding to the main eigenvalues are time-reversed and the far field patterns are calculated, and the focus on the far field patterns on the target can be obtained. The simulation results show that the method can accurately and effectively focus on multiple targets and have good focusing performance.
When focusing on multiple targets in the far field in the time reversal method, the eigenvalue decomposition of the obtained transmission matrix is required, and the matrix is required to be a square matrix, which requires that the antenna has the same number of detection transmitting units and receiving units. Considering the working characteristics of radar, this article uses some antenna elements to detect the antenna elements, and reconstructs the scattering parameter matrix of the port to perform eigenvalue decomposition. The number of main eigenvalues corresponds to the number of targets. The eigenvectors corresponding to the main eigenvalues are time-reversed and the far field patterns are calculated, and the focus on the far field patterns on the target can be obtained. The simulation results show that the method can accurately and effectively focus on multiple targets and have good focusing performance.
引文
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[2].Rosny J D,Lerosey G,Tourin A,et al.Time Reversal of Electromagnetic Waves[J].Physical Review Letters,2004,92(19):193904.
[3].Prada C,Manneville S,Spoliansky D,et al.Decomposition of the time reversal operator:Detection and selective focusing on two scatterers[J].Journal of the Acoustical Society of America,1996,99(4):2067-2076
[4].A time-reversal method for an acoustical pulse propagating in randomly layered media[J].J.F.Clouet,J.P.Fouque.Wave Motion.1997(4)
[5].Prada C,Fink M.The iterative time reversal process:Analysis of the convergence[J].Journal of the Acoustical Society of America,1995,97(1):62-71.
[6].李元奇.基于时间反转的雷达目标成像方法研究[D].电子科技大学,2017.
[7].刘伟,付永庆,许达.基于时间反转的远场目标聚焦方法[J].吉林大学学报(工),2016,46(2):646-651.
[2].Rosny J D,Lerosey G,Tourin A,et al.Time Reversal of Electromagnetic Waves[J].Physical Review Letters,2004,92(19):193904.
[3].Prada C,Manneville S,Spoliansky D,et al.Decomposition of the time reversal operator:Detection and selective focusing on two scatterers[J].Journal of the Acoustical Society of America,1996,99(4):2067-2076
[4].A time-reversal method for an acoustical pulse propagating in randomly layered media[J].J.F.Clouet,J.P.Fouque.Wave Motion.1997(4)
[5].Prada C,Fink M.The iterative time reversal process:Analysis of the convergence[J].Journal of the Acoustical Society of America,1995,97(1):62-71.
[6].李元奇.基于时间反转的雷达目标成像方法研究[D].电子科技大学,2017.
[7].刘伟,付永庆,许达.基于时间反转的远场目标聚焦方法[J].吉林大学学报(工),2016,46(2):646-651.