A modulator comprising: a polar generation stage arranged for generating an amplitude component and a phase component of a modulation signal from an in-phase component and a quadrature-phase component of the modulation signal; a differentiator stage arranged for generating a differentiated phase component by differentiating the phase component; an amplitude modulation stage arranged to modulate the amplitude of a carrier signal; and a phase modulation stage arranged to modulate the frequency of the carrier signal; characterised by: an event detection stage arranged for detecting a high bandwidth event by detecting at least one of the amplitude component and the differentiated phase component meeting an event criterion, and in response to the high bandwidth event, adapting the in-phase component and the quadrature-phase component so that a trajectory of the modulation signal passes through the origin; an amplitude inversion stage arranged for generating a modified amplitude component by inverting the amplitude component in response to detecting the high bandwidth event; a phase offset stage arranged for generating a modified differentiated phase component by, in response to detecting the high bandwidth event, adding to the differentiated phase component a phase offset having a magnitude of 180 degrees and a sign opposite to a sign of the differentiated phase component; wherein the amplitude modulation stage is arranged for employing the modified amplitude component to modulate the amplitude of the carrier signal; and the phase modulation stage is arranged for employing the modified differentiated phase component to modulate the frequency of the carrier signal. a polar generation stage arranged for generating an amplitude component and a phase component of a modulation signal from an in-phase component and a quadrature-phase component of the modulation signal; a differentiator stage arranged for generating a differentiated phase component by differentiating the phase component; an amplitude modulation stage arranged to modulate the amplitude of a carrier signal; and a phase modulation stage arranged to modulate the frequency of the carrier signal; an event detection stage arranged for detecting a high bandwidth event by detecting at least one of the amplitude component and the differentiated phase component meeting an event criterion, and in response to the high bandwidth event, adapting the in-phase component and the quadrature-phase component so that a trajectory of the modulation signal passes through the origin; an amplitude inversion stage arranged for generating a modified amplitude component by inverting the amplitude component in response to detecting the high bandwidth event; a phase offset stage arranged for generating a modified differentiated phase component by, in response to detecting the high bandwidth event, adding to the differentiated phase component a phase offset having a magnitude of 180 degrees and a sign opposite to a sign of the differentiated phase component; wherein the amplitude modulation stage is arranged for employing the modified amplitude component to modulate the amplitude of the carrier signal; and the phase modulation stage is arranged for employing the modified differentiated phase component to modulate the frequency of the carrier signal.