In a phase divider, a complex signal containing a sequence of samples of real and imaginary values is limited to a unit amplitude and multiplied by a first complex multiplier with a first feedback complex signal, the output the multiplier being fed through a loop filter to a second complex multiplier where the signal is multiplied with a second feedback complex signal. The output of the second multiplier is limited to a unit amplitude, delayed by a sample interval and applied to the second complex multiplier as the second feedback complex signal. The first feedback complex signal is derived by a circuit that raises the frequency the delayed signal by a desired factor.