IAA-Net: An Iterative Adaptive Approach for Angular Super-resolution Imaging of Real Aperture Scanning Radar
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摘要: 实孔径雷达(RAR)通过天线扫描工作,以获取大范围探测区域内目标的观测信息。但是,由于雷达天线尺寸小,受天线衍射机理限制,与距离分辨率相比,其角分辨率通常较低。角超分辨处理方法,可利用天线方向图与目标散射间的卷积关系,通过求解卷积反演问题,以提高扫描雷达角分辨率。但是,由于测量矩阵的低秩特性,传统角超分辨处理方法,存在正则化参数选择难、迭代更新慢等问题,并且在低信噪比条件下,角超分辨处理性能明显下降。针对上述问题,该文提出了一种基于深度网络的迭代自适应实孔径扫描雷达角超分辨成像方法。首先,该文将实孔径扫描雷达的卷积反演问题转化为回波自相关矩阵反演求解问题,以改善求逆矩阵的病态性;其次,将可学习的修正矩阵引入到迭代自适应求解方法中,以实现迭代自适应求解方法与深度网络的结合;最后,通过迭代学习更新回波自相关矩阵,降低噪声对反演结果的影响,提高实孔径雷达的角分辨率。仿真及实测数据结果表明,所提方法可避免传统算法中的手动参数选择和迭代更新慢等问题。同时,由于深度网络的学习拟合能力,所提方法可在低信噪比条件下保持良好的角超分辨性能。Abstract: Real Aperture Radar (RAR) observes wide-scope target information by scanning its antenna. However, because of the limited antenna size, the angular resolution of RAR is much lower than the range resolution. Angular super-resolution methods can be applied to enhance the angular resolution of RAR by inverting the low-rank steering matrix based on the convolution relationship between the antenna pattern and target scatterings. Because of the low-rank characteristics of the antenna steering matrix, traditional angular super-resolution methods suffer from manual parameter selection and high computational complexity. In particular, these methods exhibit poor super-resolution angular resolution at low signal-to-noise ratios. To address these problems, an iterative adaptive approach for angular super-resolution imaging of scanning RAR is proposed by combining the traditional Iterative Adaptive Approach (IAA) with a deep network framework, namely IAA-Net. First, the angular super-resolution problem for RAR is transformed into an echo autocorrelation matrix inversion problem to mitigate the ill-posed condition of the inverse matrix. Second, a learnable repairing matrix is introduced into the IAA procedure to combine the IAA algorithm with the deep network framework. Finally, the echo autocorrelation matrix is updated via iterative learning to improve the angular resolution. Simulation and experimental results demonstrate that the proposed method avoids manual parameter selection and reduces computational complexity. The proposed method provides high angular resolution under a low signal-to-noise ratio because of the learning ability of the deep network.
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表 1 雷达系统仿真参数
Table 1. Radar system simulation parameters
参数 数值 扫描速度 50°/s 扫描范围 –8°~+8° 脉冲重复频率 1000 Hz主瓣波束宽度 5.1° 载波频率 9.6 GHz 信号带宽 45 MHz 信号时宽 2 μs 采样率 90 MHz 平台速度 30 m/s 表 2 V型场景不同超分辨方法的MSE对比
Table 2. MSE comparison of different super-resolution methods
方法 MSE Tikhonov L2方法 26.4810 分裂Bregman L1方法 3.3306 IAA方法($\gamma = $0.2) 13.2678 IAA方法($\gamma = $0.05) 8.0262 所提IAA-Net方法 2.2932 -
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