Apparatus and systems for synthesizing frequencies for use in a fast hopping wireless communications system. A frequency synthesizer comprises a plurality of oscillators with each oscillator having a first input coupled to a reference clock frequency signal, and a signal selector having a control signal input and a plurality of reference clock inputs with each reference clock input coupled to an output from an oscillator. Each oscillator produces a reference frequency that is a harmonic of a reference clock frequency of the reference clock frequency signal, and the signal selector couples a reference clock input to an output based on a control signal provided by the control signal input.