An Imaging Algorithm of Sparse Stepped Frequency SAR Based on Multiple Measurement Vectors Model

The SAR imaging algorithm based on Compressed Sensing (CS), could complete the high-resolution imaging of sparse target with the sampling data below the Nyquist sampling rate. However, the Single Measurement Vectors (SMV) model used for range profile reconstruction in existing algorithms, is time-consuming and noise-affected. Based on the Multiple Measurement Vectors (MMV) model, this paper proposes to recovery the joint sparse target signal source of the same sparse structure by MMV. The range profile imaging performance is analyzed theoretically and experimentally. Then, a 2-D SAR imaging algorithm, in which the range imaging is realized based on MMV model and azimuth imaging is realized based on SMV model, is proposed. This algorithm is superior to the SMV-based CS algorithm both on time-consuming and reconstruction precision. The processing of simulation data and radar measured data verifies the effectiveness of this algorithm.