The present disclosure is directed to a digital phase-locked loop frequency synthesizer including: a digitally controlled voltage-controlled oscillator (DCO); a reference oscillator; a digital phase detector; a DCO control module comprising a plurality of registers each arranged to control the frequency of the signal with a predetermined resolution; a first feedback loop arranged to provide a first feedback path between the output of the DCO and the digital phase detector; and a second feedback loop arranged to provide a second feedback path between the first register output and the second register input, the second feedback loop comprising an adder module arranged to change a value of the second register based on the first register output to maximize a DCO frequency output range provided by the first register.