So, Mustafa, is this a pinhole array you are talking about?
If so, I am concerned that the diffraction softening, once imposed at the front panel, will not be solvable with any other transformation. Likewise, even if it's not pinhole array but rather a glass lens array of some sort, you will take a hit on MTF no matter what you do. Though, indeed, you could "decrypt" some of the information. Just not much. You could correct for chromatic ab. I suppose. But what diffraction takes away, you aren't getting back.