A method of COFDM demodulation of successive symbols, each symbol comprising data carriers and pilots. The method includes, for each symbol, the determination of estimates of the transfer function of the channel for the symbol carriers, including the steps of determining, for first carriers such that, for the frequency positions of the considered carriers, symbols different from the symbol include pilots, a first estimate based on second estimates obtained for pilots having the frequency of the carrier; and determining, for second carriers, a third estimate based on the first estimates. For at least one first carrier, the first estimate is further determined based on at least the third estimate determined for a carrier of a symbol received before the symbol at the same frequency as the carrier.