Multidimensional signal recovery in discrete evolution systems via spatiotemporal trade off

Abstract

The problem of recovering an evolving signal from a set of sam- ples taken at different time instances, has been well-studied for one-variable signals modeled by l 2 (Z d) and l 2 (Z): However, most observed time-variant signals in applications are described by at least two spatial variables. In this paper, we study the spatiotemporal sampling pattern to recover the initial signals modeled by l 2 (Zd 1 × Zd 2) and l 2 (Z × Z) which are evolving in a dis-crete evolution system and provide specic reconstruction results.