将基追踪方法的应用扩展到SAR图像的超分辨问题上来.首先在相位历史域依据SAR目标属性散射模型构造了一类具有快速算法的Fourier原子;其次利用Fourier原子的可分离特性,分别在图像的行和列的方向上构造相应的字典,降低了字典的维数和计算复杂度,并且设计了一种新的迭代算法进行快速求解基追踪优化问题;最后对得到的表示系数作IFFT变换以得到更高分辨率的SAR图像.仿真算例和MSTAR实测数据计算表明,基于Fourier原子的基追踪方法能够快速稳定实现,同时具有良好的超分辨性能.
The application of the basis pursuit method to SAR super-resolution processing was extended. Firstly, based on the SAR attributed scattering model, a Fourier dictionary with fast implicit algorithm was designed in phase history domain. Secondly, in light of the separable feature of Fourier atom, The dictionaries in column-wise and row-wise of the image were construct, the dimension of the dictionary and the computation burden were greatly reduced. A new and fast iterative algo- rithm was proposed to solve the optimization problem of the basis pursuit. Finally, higher resolution image was obtained by IFFT to the coefficient. Simulation experiments and computational results of measured MSTAR data demonstrate that basis pursuit can be implemented speedy and stably, and it can provide super-resolution at the same time.