Abstract: In order to achieve image transmission,restoration,and super resolution imaging without increasing the system complexity,a new compressed sensing system is designed based on the theory of compressed sensing and image degenerate model.This system modifies the measurement matrix by using the down-sampling operator and blurring operator of the image degenerate model as well as constructs a wavelet-Shearlet based image transform,then combines with the iterative hard threshold algorithm to reconstruct images.Experimental results demonstrate the effectiveness of our system in the quality of the reconstructed images and computing efficiency.