Improved message passing algorithm for phase noise channels using optimal approximation of Tikhonov mixtures

In this paper we propose an improved message passing algorithm for the phase noise channel. We assume LDPC or Turbo coding and utilize their soft decisions to perform joint detection and estimation of the phase noise. We use the directional statistics framework to approximate the messages of the Sum & Product Algorithm to a Tikhonov distribution. Finally, we show simulation results of the proposed algorithm and show its superiority over some of the current state of the art algorithms.