Design of antialiasing patterns for time-sequential sampling of spatiotemporal signals

The aliasing that results from time-sequential sampling of spatiotemporal signals is strongly dependent on the order in which the spatial points are sampled. To design sampling patterns that reduce aliasing, the sequence of sampling points is mapped into several shorter subsequences via the chinese remainder theorem. A pairwise exchange algorithm then finds the best ordering of each subsequence. The patterns obtained with this procedure perform substantially better than those known previously, and perform as well as the optimal patterns that can be expressed in closed form when the signal is termporally undersampled by less than a factor of 2.