A receiver of a frequency-modulated signal is provided. The receiver includes a frequency-transposition unit for lowering the frequency of the frequency-modulated signal, and a digital demodulator for regenerating a digital signal from the frequency-transposed signal. The frequency-transposition unit includes a local oscillator for generating a local oscillator signal used in lowering the frequency of the frequency-modulated signal. The frequency-transposed signal is sampled in the digital demodulator at the rate of a sampling signal, and the sampling signal is generated by the local oscillator of the frequency-transposition unit. In a preferred embodiment, the local oscillator includes at least one frequency-divider circuit that delivers the sampling signal. Also provided is a method for regenerating a digital signal from a frequency-modulated signal.