A process for estimating a channel in an OFDM communication system, wherein an OFDM sample is based on a time-frequency grid comprising a set of pilots may include the steps of receiving, by a receiver, OFDM sample based subframes comprising a set of pilot signals, performing an iterative loop for the purpose of computing (Mk, kk) respectively corresponding to the covariance matrix and the mean of the probability distribution of p(hk|yk, lk) at time instant k, yk, and lk respectively corresponding to the received signal and to a priori known information, the value of (Mk, kk) being computed as a function of (Mk−1, kk−1) as well as the values of the pilots received at instant k.