Low noise phase quadrature signals are generated after receiving a clock signal and adjusting the clock signal in response to a feedback signal to generate a phase adjusted clock signal. The clock signal and the phase adjusted clock signal are exclusive-ored to generate a frequency doubled signal. An in-phase local oscillator signal and a quadrature local oscillator signal are generated from the frequency doubled signal such that the in-phase local oscillator and the quadrature local oscillator signal are out-of-phase with each other. In addition, a phase relationship between the in-phase local oscillator signal and the quadrature local oscillator signal are detected, and the feedback signal is generated based upon the phase relationship between the in-phase local oscillator signal and the quadrature local oscillator signal.