基于前后向矩阵束方法的线性排布无人机集群目标规模估算

Estimation of Target Size of Linear UAV Cluster Based on Forward-backward Matrix Beam Method

利用前后向矩阵束方法,提出了一种有效的“蜂群”无人机群目标个数估计方法用于目标检测。与传统的参数估算方法相比,所提方法对于稀疏信号也能准确地进行估算。首先,在一定的角度或频率下,获取线阵排列群目标的雷达散射截面;然后,根据已知的雷达回波构造Hankel-Toeplitz矩阵,并对该矩阵进行奇异值分解;最后,通过设置合适的阈值选取比例较大的奇异值,以此准确地估算线阵排列群目标的个数。此外,文中还讨论了不同信噪比对估算结果的影响。为了提高精度,文中采用多组不同方位角度的回波信号来联合估算群目标的个数。仿真结果表明,该方法能够有效、准确地估算线阵排列群目标的个数,而且估计结果不受噪声的影响,具有较好的鲁棒性。

In this paper,an effective group targets number estimation method for"swarm"unmanned aerial vehicle detection is proposed by using forward-backward matrix beam method.Compared with traditional parameter estimation methods,the proposed method can also accurately estimate sparse signals.First,the radar cross section of a linear array group target is obtained at a certain angle or frequency.Then,the Hankel-Toeplitz matrix is constructed based on the known radar echoes and the matrix is decomposed by singular value.Finally,by setting a suitable threshold,singular values with a larger proportion are selected to accurately estimate the number of targets in the linear array group.In addition,the impact of different signal-to-noise ratios on the estimation results are also discussed.In order to improve the accuracy,multiple sets of echo signals from different azimuth angles are used to jointly estimate the number of group targets.The simulation results show that the proposed method can estimate effectively and accurately estimate the number of targets in a linear array group,and the estimation results of the method are not affected by noise,which have good robustness.