Abstract

Hexagonal sampling of 2-D signals has been considered a useful alternative to rectangular systems. Mersereau [1] analyzed hexagonal sampling and showed that when images are circularly or elliptically bandlimited the sampling density can be 13.6% less than that required for a rectangular sampling system. Murphy and Gallagher [2] studied hexagonal sampling in the context of optical systems. Here we investigate spatially hexagonal sampling of spatiotemporal signals. Since obtaining samples at every point in space at the same time instant is impractical for many applications, we constrain the sampling to be time-sequential. We examine the performance of various sampling patterns as we sample below the temporal Nyquist rate, and we compare their performance with that of the corresponding rectangular case that was analyzed previously [3].

© 1983 Optical Society of America