Abstract: From the SAR imaging model, combining the scattering center theory, this paper estimates scattering centers of high resolution image from the low resolution image under the conditions of sparse. The Region Of Interesting (ROI) can be reconstructed by several sinc functions and the super resolution section is obtained after side lobe suppression. Based on the Nonlinear Least Squares (NLS) estimation, an iterative algorithm is employed to solve the super resolution reconstruction problem and the simulations are based on TerraSAR-X measurement data. Simulation results show that the proposed method is able to get higher spatial resolution and Target to Clutter Ratio (TCR) values as compared with bicubic interpolation and 1 norm regularization method. The analysis results show that the accuracy of the algorithm is affected by both the Signal to Noise Ratio (SNR) and the rebuilding 3 dB bandwidth of sinc function, the higher 3 dB bandwidth tends to be more robust to noise.