Dynamical sampling of two-dimensional temporally-varying signals

The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ
²
(Z × Z) case.