An output signal is generated for transmission in a telecommunications systems. This may involve generating an in-phase radio frequency signal by mixing an in-phase baseband signal with a first radio frequency mixer signal; and generating an alternative-phase radio frequency signal by mixing an alternative-phase baseband signal with a second radio frequency mixer signal. An output signal for transmission is generated by combining the in-phase radio frequency signal with the alternative-phase radio frequency signal, wherein the output signal has a frequency, f.sub.RF. The first and second radio frequency mixer signals are generated by generating a voltage controlled oscillator (VCO) output signal having a frequency, f.sub.VCO, such that ##EQU00001## wherein n=1, 2, 3, . . . ; and generating one or more fractional frequency divided signals from the VCO output signal, wherein each of the one or more fractional frequency divided signals has a frequency equal to f.sub.RF.