Data-Aided Joint Estimation of Carrier Frequency Offset and Frequency-Selective Time-Varying Channel

The issue of data-aided joint carrier frequency offset (CFO) and channel estimation is investigated in the presence of a rapidly time-varying frequency-selective channel. We derive novel joint CFO/channel estimators for two cases: known and unknown channel statistics. The CFO estimator that makes use of known channel statistics is shown to attain the Cramer-Rao bound. If channel statistics are unknown to the estimator then a parameterization of the time-varying channel is required and this is shown to degrade performance. Theoretical analysis of the derived estimators is provided along with simulation results.