A method for estimating the speed of a user equipment connected to a base station of a wireless network, the method comprising the following steps: —performing signal strength measurements (S) of a radio signal transmitted between the user equipment and the base station; —performing a spectral analysis (11) of the signal strength measurements; —determining the frequency of a local maximum in the power spectrum of the signal strength measurements; —estimating (12), from previously established reference data, the speed of the user equipment that corresponds to the determined frequency, the reference data associating a given user equipment speed with a certain determined frequency.