Analysis of time-sequential sampling with a spatially hexagonal lattice

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Abstract
The susceptibility of two-dimensional hexagonal sampling patterns to frequency-domain aliasing is analyzed under the constraint that the sampling be time sequential. Sampling patterns previously examined only for the case of a rectangular lattice are evaluated by finding the signal-to-aliasing-noise power ratio when the patterns are applied to white, ellipsoidally band-limited signals. Methods are developed for designing patterns that resist frequencydomain aliasing. With still images, hexagonal patterns may exhibit a 13.4% reduction in overall sampling rate relative to rectangular ones. With time-sequential sampling of spatiotemporal signals, we find that this advantage is not always present.