 The proposed SRA-AMDIA algorithm is able to overcome the limitations of existing approaches by focusing the imaging result even when there are phase errors present. This algorithm uses a phase compensating function to compensate for the phase errors followed by a minimum entropy autofocusing algorithm to further improve the quality of the sparse representation signal. The reconstructed complete echo can then be used with classic imaging algorithms to obtain high resolution imaging results. This article was authored by Nan Jiang, Hua Guidu, Xiaodi Gu and others.