Techniques for generating a local oscillator (LO) signal are disclosed. In one design, an apparatus includes an oscillator, a divider, and a phase locked loop (PLL). The oscillator receives a control signal and provides an oscillator signal having a frequency determined by the control signal. The divider receives the oscillator signal and generates multiple divided signals of different phases. The PLL receives a reference signal and a selected divided signal and generates the control signal for the oscillator. The divider is powered on and off periodically and wakes up in one of multiple possible states, with each state being associated with a different phase of the selected divided signal. Phase continuity of the selected divided signal is ensured by using the divider in a feedback loop with the PLL. The PLL locks the selected divided signal to the reference signal, and the selected divided signal has continuous phase due to the reference signal having continuous phase.