Abstract: A system for receiving a complex modulation digital signal using a temporal equaliser including an estimator supplying correction parameters. This system includes: at least one peripheral control loop, the estimator of which uses at least one of said correction parameters, the peripheral control loop having an operating range separate from that of the temporal equalizer; and a temporal discriminator detecting inactive areas of the estimator of each peripheral control loop to enable operation of the temporal equalizer in such a way as to prevent interaction between the temporal equalizer and the peripheral control loop. The peripheral control loop can be a Mueller and Muller-type pointing estimator and/or a Leclert and Vandamme-type carrier recovery device.