ABSTRACT
In this article, we mainly study the periodic nonuniform dynamical sampling in ℓ2(ℤ) and shift-invariant spaces. We first provide a sufficient and necessary condition for c∈ℓ2(ℤ) which can be reconstructed by its spatial and temporal samples. Then we give a concrete example to show that the sufficient and necessary condition is feasible. Finally, we discuss the periodic nonuniform dynamic sampling problem in shift-invariant spaces.