1. Process for estimating the speed of movement of a mobile terminal talking to a base station by way of a transmission channel, characterized in that it comprises a channel estimation ( 30 ) so as to estimate the fading of the channel, an autocorrelation of the fading so as to obtain a first autocorrelation result, a predetermination ( 33 ) for various predetermined values of speeds of movement of the mobile terminal, of various reference autocorrelation results obtained using an autocorrelation function, assumed known, of the fading, a comparison ( 34 ) between the first autocorrelation result and the various reference autocorrelation results, and an estimation ( 36 ) of the speed of movement of the mobile terminal as a function of the result of the said comparison.