Dynamical sampling with an additive forcing term

In this paper we discuss a system of dynamical sampling, i.e. sampling a signal x that evolves in time under the action of an evolution operator A. We examine the timespace sampling that allows for reconstruction of x. Here we describe the possible reconstruction systems when the system also contains an unknown constant forcing term σ. We give conditions under which both x and σ can be reconstructed from the spacio-temporal set of sampling.