GTD Model Parameters Estimation and RCS Reconstruction Based on the Improved LS-ESPRIT Algorithm
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摘要: 针对传统LS-ESPRIT算法在估计GTD模型参数时抗噪效果差，估计精度不高这一问题，该文提出了一种改进的LS-ESPRT算法，有效地提高了算法的参数估计性能与抗噪性。首先，根据雷达目标的回波数据构建Hankel矩阵；其次，采用核范数凸优化方法对上述Hankel矩阵进行降噪处理，得到低秩的重构Hankel矩阵；最后，利用传统的LS-ESPRIT算法对降噪后的数据进行处理，估计出GTD模型参数。基于改进算法与传统算法分别得到重构RCS，并针对不同带宽对参数估计精度的影响作以仿真探究。仿真结果表明，与传统LS-ESPRIT算法与传统TLS-ESPRIT算法相比，改进LS-ESPRIT算法的参数估计性能更高，抗噪性更强，且重构RCS的幅值与相角误差更小。对不同带宽下的参数估计精度也进行了探究，并得出：带宽越大，估计精度越高。
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关键词:
- 散射中心 /
- GTD模型 /
- 凸优化处理 /
- 改进的LS-ESPRIT算法 /
- RCS重构
Abstract: The traditional Least Squares-Estimating Signal Parameter via Rotational Invariance Techniques (LS-ESPRIT) algorithm is not effective while estimating parameters of the Geometric Theory of Diffraction (GTD) at lower SNR. To solve this problem, an improved LS-ESPRIT algorithm is proposed in this paper. Firstly, a Hankel matrix is constructed by the echo data of radar targets.Secondly,a low- rank reconstructed Hankel matrix is obtained,which is solved by the nuclear norm convex optimization method. Finally, the traditional LS-ESPRIT algorithm is used to process the data after noise reduction and estimate the parameters of the GTD model. Moreover,the reconstructed Radar Cross Section (RCS) can be obtained by the traditional LS-ESPRIT algorithm and the improved LS-ESPRIT algorithm. The influence of different bandwidths on parameter estimation is also analyzed in this paper. Simulation results show that the estimation accuracy and noise resistance of the improved LS-ESPRIT algorithm is better than the traditional LS-ESPRIT algorithm and the traditional TLS-ESPRIT algorithm. Furthermore, the amplitude error and phase angle error of the RCS which is reconstructed by the improved algorithm are smaller than the traditional algorithm. Different bandwidths also have influences on parameter estimation accuracy, the more wider bandwidth is, the more accurate parameters can be estimated. -
表 1 典型散射结构的
${\alpha _i}$ 取值典型散射结构 ${\alpha _i}$取值 二面角、三面角、平面法向反射 1.0 单曲面反射、圆柱面反射 0.5 双曲面反射、球面反射 0 边缘绕射 –0.5 尖顶绕射 –1.0 
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表 2 散射中心参数值
序号 位置${r_i}({\rm{m}})$ 类型${\alpha _i}$ 强度${A_i}$ 1 1.200 1.000 6.112 2 1.400 0.500 5.398 3 1.900 0 4.234 4 2.300 1.000 3.102
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