The feasible solution in signal restoration

A solution which satisfies all a priori contraints imposed by the real world system, including knowledge of noise statistics, for the signal restoration problem was proposed. It was shown that the restriction imposed by requiring a feasible solution is often sufficient to produce a high quality restoration. The feasible solution was achieved by employing the projection onto closed convex sets method, and examples were presented illustrating the method's usefulness in one and two dimensional signal restoration.