Detection method and device for a receiver in a digital communication system designed to process a frame comprising a periodic sub-set of length n, said method comprising the following steps:—determining a first vector u having a length n;—determining a second shifted vector v;—calculating a correlation function between said first and second vectors;—calculating a quadratic error function between said first and second vectors;—calculating a first cost function that is a linear combination of both preceding functions and, according to the sign of the result,—calculating a second cost function of frame beginning estimate; and—starting the communication system receiver.