1. A method of generating channel estimates in a wireless communication receiver, for processing a received Orthogonal Frequency-Division Multiplexing (OFDM) communication signal, the method comprising: generating first channel estimates jointly for a group of OFDM subcarriers in the received OFDM communication signal from a set of pilot observations obtained from the received OFDM communication signal, using a first channel estimation process not dependent on knowledge of channel statistics; estimating channel statistics and a noise variance from the first channel estimates; and generating second channel estimates jointly for the group of OFDM subcarriers from the set of pilot observations, the estimated channel statistics, and the estimated noise variance, using a second channel estimation process dependent on knowledge of the channel statistics.