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In this paper we present the topic of sampling of signals that are not band limited 60 years after the well known Shannon-Nyquist sampling theory. We consider the sampling process of several signals that were not exactly considered or treated by Shannon. We can call them non band limited signals. Research in sampling of non band limited signals is divided into two main categories. Signals that are sensed using modern state of the art compressive sensing techniques, and signals with a finite number of degrees of freedom that are sensed through sampling kernels that are physically realizable. These latter types of signals are typically called signals with finite rate of innovation. We present our results with these two main categories with different images and signals. Illustrative examples of the proposed techniques are presented.

BEYOND BAND LIMITED SAMPLING IN SUPER RESOLUTION APPLICATIONS – 60 YEARS AFTER SHANNON