Joint Turbo Frequency Domain Equalization and Stochastic Recursive Filtering Carrier Synchronization

This paper presents a novel solution for joint turbo equalization and carrier synchronization in SC-FDE schemes. The proposed solution resorts to the Bayesian principle for the synchronization operation. In fact, the so called sensor factor is conditioned with respect to the phase drift and the transmitted data symbol. The phase drift is the quantity of interest and the data symbol is, for synchronization purposes, considered a nuisance parameter. After marginalizing this nuisance parameter the sensor factor is expressed in terms of the observation and the phase drift only. This allows us to implement the recursive Bayesian filtering technique known as sequential importance sampling (SIS). Finally, we compare our solution with an alternative solution, namely, the a posteriori (MAP) estimator.