Over the past decades, numerous efforts have been made to improve imaging resolution beyond the Abbe-Rayleigh limit. Optical super-oscillations, the phenomenon that the certain combination of band-limited functions could oscillate arbitrarily faster than its highest Fourier components, offer a promising route to optical super-resolution imaging. Here we developed a super-oscillation function filter based on super directivity array antenna, which is used in digital image processing. We demonstrate the ability of this method in recovering coherent diffraction limit images. It was proved that two holes separated by a distance about 0.7 times of the diffraction limit can be distinguished, and it is consistent with the capacity of the filter designed.