A digital receiver for a burst-mode wireless communication system, such as a Bluetooth system comprises a radio frequency input stage for receiving an input signal and an analogue-to-digital converter for converting the input signal from an analogue signal to a digital signal. A switch is coupled to the analogue-to-digital converter and a first signal processor is coupled to the switch and is arranged to demodulate signals modulated according to a first modulation process, such as a GFSK modulation process. A second signal processor is also coupled to the switch and is arranged to demodulate signals modulated according to a second modulation process, such as .pi./4DQPSK modulation process or an 8DPSK modulation process. The switch is arranged to switch the digital signal between the first and second signal processors to recover signals from the first and/or the second modulation process. A method for processing received signals in a burst-mode wireless communication system is also disclosed.