A user equipment (UE) for channel estimation in a high-speed single-frequency network (HS-SFN) is provided. The UE includes at least one non-transitory computer-readable medium; and at least one processor, which, when executing instructions stored on the at least one non-transitory computer-readable medium, causes the UE to perform a method including calculating an estimated frequency offset (FO) correction for a received signal using at least an FO estimation generated by an automatic frequency control (AFC) module using at least a previously-calculated channel estimate output from a channel estimator (CE) as input in a first feedback loop; and calculating, by the CE, a current channel estimate using at least the received signal adjusted by the estimated FO correction from the first feedback loop and one or more channel parameter estimates generated by the AFC using at least the previously-calculated channel estimate output from the CE as input in a second feedback loop.