A method for correcting mismatches between a digital signal in phase and a digital signal in quadrature originating from a signal broadcast by terrestrial channel, comprising a phase correction method. A set of first error values is measured during a first period. A current value of a second error is determined based on a sum of the first error values. The current value is compared with a previous second error value stored in memory. The value of a current phase shift correction is chosen from two phase shift correction values, based on the result of the comparison and the value of a previous phase shift correction. The value of the chosen current phase shift correction is added to the previous phase shift to obtain a current phase shift. This current phase shift is introduced between the digital signal in phase and the digital signal in quadrature.