Cramér-rao bound for sampling & reconstruction of FRI signals

This paper analyses the estimation process for Finite Rate of Innovation (FRI) signals. The main contribution is the derivation of the well known Cramér-Rao Bound (CRB) for the estimation of signal parameters for a pulse stream. Other publications consider the estimation of the signal instead of its parameters or omit the effect of sampling. In this contribution both effect are considered and analytical expressions for the Fisher Information Matrix are obtained. Furthermore, for the estimation of parameters of a single pulse analytical expressions for CRB are given and for the case of multiple pulses dependencies of the CRB of the distance between the pulses are illustrated.