Joint direction finding, signal and channel response estimation for a polynomial phase signal in a multipath channel

In this paper we study the joint estimation of the direction-of-arrival (DOA), signal and channel parameters for an unknown polynomial phase signal in a multipath channel. We derive the Cramer Rao bound (CRB), and use it to study the dependence of the optimal performance on the SNR, and the spatial and temporal separation, of the different paths. Finally, we compare the optimal DOA estimation performance to the performance achievable by several suboptimal estimators, and to the performance achievable in the presence of a single propagation path.