Abstract: A device for recovering the carrier of a TDMA signal supplies the complex envelope of this signal on a real channel and an imaginary channel. Circuitry for offsetting the constellation of the complex envelope by .pi./4 supply a complex signal on a main channel and on an auxiliary channel. An energy detector arrangement controls a multiplexer so that it supplies to a correlator whichever of the real or imaginary channels conveys the greater energy. The correlator calculates the correlation level between the multiplexer output signal and a reference singular word. An arrangement for comparing the correlation level with a threshold value indicates detection of the singular word in the signal on the channel applied to the correlator.