Abstract: When compressed sensing imaging system is used to imaging, the related motion between the object and imaging system will lead resolution of the object image to degradation. In order to overcome the interference of motion, additional device is employed to acquire the motion parameter of the object, but in many cases the parameter cannot be obtained. Aiming at this problem, this paper proposes to use the correlation of object and speckle motion, and to apply speckle motion method to offset the object motion interference. Compressed sensing algorithm parameters using multiple groups of different speckle motion parameters to recover the corresponding object image, at last the correlation criterion parameters is apply to get the object image without motion interference. The influence of the system point spread function is considered in the algorithm, and the deconvolution method is utilized to obtain the object image without the motion and system point spread function influence. Finally, the digital simulation results confirm the effectiveness of the proposed algorithm.

Key words: Motion Blur, Compressed Sensing, Point Spread Function, Deconvolution