Reverse engineering of signal acquisition chains using the theory of sampling signals with finite rate of innovation

This paper presents a novel theoretical framework for the reverse engineering of signal acquisition chains. We investigate how signals are transformed through a chain of signal acquisition and reconstruction stages. The signals, at different stages in the chain, are modelled using the theory of sampling signals with Finite Rate of Innovation (FRI). The model allows us to determine the chain structure and corresponding acquisition history from unknown query signals and to retrieve important parameters relating to the acquisition chain.