A method is provided for processing a signal emanating from a multi-path transmission medium. A number L of echoes of the signal received are detected, with L being greater than the number N of fingers of a “Rake” receiver, and there are selected N echoes from among the L echoes that are detected. At least some of the L echoes that are detected are echoes temporally correlated according to a determined correlation criterion. The selection step includes determining, as a function of the initial complex amplitudes associated with at least the temporally correlated echoes, weighted individual energies corresponding respectively to temporally decorrelated virtual echoes, and selecting from among the L echoes of N echoes as a function of a determined power criterion using at least the weighted individual energies.