面向大斜视SAR的自适应非凸稀疏成像算法
Adaptive Non-convex Sparse Imaging Algorithm for Highly Squint SAR
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摘要: 非凸正则化由于其在超分辨率和幅度保真度方面的理论优势,在大斜视合成孔径雷达(synthetic aperture radar, SAR)稀疏成像方面具有巨大的潜力. 针对正则化参数对模型误差和场景特征极其敏感,特别是在大斜视场景中,严重的距离−方位耦合和低信噪比使最佳参数的选择异常困难的问题,提出了一种梯度引导的自适应非凸正则化框架. 利用双层优化原理计算了重建残差相对于广义极小最大凹(generalized minimax concave, GMC)范数的超梯度. 算法能够在迭代重建过程中自动搜索并调整最优超参数. 仿真与实测结果表明,相比固定超参数的稀疏重构算法,所提方法的峰值信噪比(peak signal-to-noise ratio, PSNR)提升 4%以上,归一化均方误差(normalized mean squared error, NMSE)降低 35%以上. 解决了算法对手动调参的依赖,提高了大斜视场景下的重构精度.Abstract: Non-convex regularization has great potential in highly squint synthetic aperture radar (SAR) sparse imaging due to its theoretical advantage in super- resolution and amplitude fidelity. Aiming at the problem that regularization parameters are extremely sensitive to model error and scene features, especially in highly squint scenarios where severe range-azimuth coupling and low signal-to-noise ratio (SNR) make the selection of optimal parameters exceptionally difficult. A gradient-guided adaptive non-convex regularization framework was proposed. Utilizing the principle of bi-level optimization, the subgradient of the reconstruction residual was computed with respect to the generalized minimax concave (GMC) norm. The algorithm could automatically search and adjust the optimal hyper parameters during iterative reconstruction. Simulation and experimental results show that, compared to sparse reconstruction algorithms with fixed hyperparameters, the proposed method improved peak signal-to-noise ratio (PSNR) by more than 4% and reduced normalized mean squared error (NMSE) by more than 35%. This solves the algorithm's dependence on manual parameter tuning and improves reconstruction accuracy in highly squint scenarios.
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