A receiver for receiving signals, each of which has a plurality of phase states or of amplitude and phase states, said receiver being characterized in that it includes apparatus for correcting quadrature error in a demodulation stage supplying a digital signal constituted, at each symbol time, by a symbol of a constellation having a plurality of phase states or of amplitude and phase states, each symbol of said constellation being determined by two amplitude levels P and Q output by said demodulation stage, said apparatus being characterized in that it comprises processing means supplying two corrected amplitude levels P' and Q' on the basis of said amplitude levels P and Q, said corrected amplitude levels P' and Q' being respectively equal to the values in any one of the following pairs of values:
- P+Q and Q-P
- P+Q and P-Q
- -P-Q and Q-P
- -P-Q and P-Q
- Q-P and P+Q
- P-Q and P+Q
- Q-P and -P-Q
- P-Q and -P-Q.