Bayesian CramÉr-Rao Bound for Dynamical Phase Offset Estimation

In this paper, we present a closed-form expression of a Bayesian Cramer-Rao lower bound for the estimation of a dynamical phase offset for a random BPSK sequence in an AWGN channel. The received symbols are disturbed by carrier phase offset which follows a Wiener model. Considering a received observation sequence, we provide a first analytical expression of the Bayesian CRB. Then, we derive an asymptote-based lower bound which provides an interesting alternative between accuracy and computational cost.