In this article, a full aperture phase error reconstruction method upon the single range bin data is proposed based on the sparsity-promoting parameter estimation, for the effective motion compensation of synthetic aperture radar (SAR) in terahertz (THz) band. To improve the potential of the method for different forms of motion errors, the motion errors of the SAR platform are generally modeled as variant phase errors in each azimuth sampling points within the full aperture. A sensing matrix including the contribution of the phase errors is successfully derived to sparsely represent the SAR echo. After range compression, an iterative algorithm based on the single range bin data is developed to efficiently estimate the phase errors by updating the reflectivities of the dominant scatterers and the elements of the sensing matrix. Based on the reconstructed phase errors, the motion compensation can be successfully performed for the THz SAR to obtain the highly focused images. For the proof-of-principle experiments, a vehicle-borne SAR at 0.3-THz band with frequency modulation continuous wave transmitter and dechirp heterodyne receiver is developed. The simulation and the experimental results verify the effectiveness of the proposed method.

中文翻译：

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稀疏性参数估计的太赫兹SAR相位误差重构与运动补偿研究

本文提出了一种基于稀疏度提升参数估计的单距bin数据全孔径相位误差重构方法，以有效地补偿太赫兹（THz）波段合成孔径雷达（SAR）的运动补偿。为了提高该方法针对不同形式的运动误差的潜力，通常将SAR平台的运动误差建模为全孔径内每个方位采样点中的变体相位误差。成功地导出了包含相位误差的影响的感测矩阵，以稀疏表示SAR回波。在距离压缩之后，开发了基于单个距离仓数据的迭代算法，以通过更新主要散射体的反射率和传感矩阵的元素来有效地估计相位误差。基于重构的相位误差，可以成功地对THz SAR进行运动补偿，以获得高度聚焦的图像。为了进行原理验证实验，开发了带有频率调制连续波发射器和去线性外差接收器的0.3-THz频带的车载SAR。仿真和实验结果验证了该方法的有效性。