A demodulator for demodulating the in-phase component of an input signal which is in-phase and quadrature modulated. The demodulator includes a register storing a phase calibration value and a temperature sensor that performs a plurality of temperature sensings. A compensating stage generates for each temperature sensed a corresponding first sample on the basis of the difference between the sensed temperature and a calibration temperature and a compensation function indicative of a relationship existing between the phase of the input signal and the temperature. A combination stage generates a plurality of second samples, each second sample being a function of the phase calibration value and a corresponding first sample. A generating stage generates a demodulating signal having a phase which depends on the second samples and a demodulating stage demodulates the input signal by means of the demodulating signal.