A digital polar modulator (DPM) for transforming a baseband signal into a modulated digital modulator output signal comprises an input unit and two low-pass delta-sigma modulators, a first one being connected downstream from the first input part and configured to provide at its output a first pulse train in dependence on an amplitude- modulating baseband signal component, and a second one being connected downstream from the second input part and configured to provide at its output a multilevel quantized signal in dependence on a phase modulating baseband signal component; a multiphase generator, which is configured to provide a set of square-wave carrier signals having a common carrier frequency and exhibiting discrete phase shifts with respect to each other; a multiplexer, which is configured to provide a multiplexer output signal that is formed by switching, in dependence on a signal received at a select input as a function of time, between selected ones of the carrier signals; and a combiner unit.