The invention relates to a digital signal generator for providing one or more phases of a local oscillator signal for use in digital to analogue converters and harmonic rejection mixers. Embodiments disclosed include a local oscillator signal generator (200) for a mixer of a radiofrequency receiver, the signal generator (200) comprising a bit sequence generator (201) having a plurality of parallel output lines (203), a digital signal generator (202) having a serial output line (204) and a plurality of input lines connected to respective output lines (203) of the bit sequence generator (201) and a clock signal input line (205), wherein the digital signal generator (202) is configured to provide an output bit sequence on the serial output line (204) at a rate given by a clock signal provided on the clock signal input line (205) and a sequence given by a sequence of bits from the bit sequence generator (201) on the plurality of input lines (203).