The synchronous demodulator electronic circuit for phase modulation signals includes, in a control loop, a discrete Fourier transform unit for receiving the phase modulation signal to be demodulated, and means of recovering the carrier frequency of the phase modulation signal, so that the discrete Fourier transform unit performs in combination the operations of mixing and low-pass filtering the sampled phase modulation signal with at least one frequency and phase adapted digital conversion signal to supply at least one demodulated signal at the output of the discrete Fourier transform unit.