The present invention provides a single modulator capable of transmitting an input according to a first and a second modulation technique. The first modulation technique represents changes in the input using a first set of carrier waveform parameters, such as phase variations, whereas the second modulation technique represents changes in the input using a second set of carrier waveform parameters, such as alternative phase variations. The present invention performs both modulation techniques by expressing the 10 second set of carrier waveform parameters as a subset of the first set of carrier waveform parameters. In a preferred embodiment, the first and second modulation techniques comprise the π/2-offset 2PSK (a good approximation of differential GMSK) and 3π/8-offset 8PSK (also known as EDGE) modulation techniques.