  The combination of the effects of Doppler frequency shifts (due to mobility)
and phase noise (due to the imperfections of oscillators operating at a high
carrier frequency) poses serious challenges to Orthogonal Frequency Division
Multiplexing (OFDM) wireless transmissions in terms of channel estimation and
phase noise tracking performance and the associated pilot overhead required for
that estimation and tracking. In this paper, we use separate sets of Basis
Expansion Model (BEM) coefficients for modelling the time variation over
intervals of several OFDM symbols of the channel paths and the phase noise
process. Based on this model, an efficient solution approximating the
maximum-likelihood joint estimation of these BEM coefficients is derived and
shown to outperform state-of-the-art phase noise compensation methods
