一种基于逆问题的差分干涉SAR层析成像方法

高度-速率维成像时，差分干涉层析成像合成孔径雷达获取的观测数据在基线-时间平面非均匀分布。若直接对观测数据进行两维傅里叶变换来恢复散射体高度-速率维像，则因强副瓣存在，成像效果不理想。该文将差分干涉层析成像合成孔径雷达高度-速率维成像问题归结为2维积分方程的逆问题，提出了一种采用Backus-Gilbert算法实现差分干涉SAR层析成像的新方法，并使用Tikhonov正则化获得逆问题的正则解。仿真结果表明该文提出的方法能够克服基线时间不均匀造成的影响，获得较好的成像结果。

An Inverse Problem Based Approach for Differential SAR Tomography Imaging

When reconstructing elevation-velocity image, the observation data obtained from differential SAR tomography in baseline-time plane does not follow uniform distribution. If the elevation-velocity image of multiple scatterers is obtained using two-dimensional FFT method, the imaging result is not very good because of high sidelobes. In this paper, a new differential SAR tomography imaging algorithm is proposed based on Backus- Gilbert technique. In this algorithm, the elevation-velocity imaging is converted into an inverse problem of two- dimensional integral function, and Tikhonov regularization is used to get the regularized solution of the inverse problem. Simulation results show that the proposed algorithm can overcome the influence caused by non-uniform samples, and acquire better imaging result.