Suppression of noise up-conversion mechanisms in lc oscillators

A method for suppressing noise up-conversion, the method comprising:

• providing a phase-locked loop (PLL) circuit comprising:
• an oscillator;
• a frequency control device, the frequency control device generating a frequency control signal that controls a frequency of the oscillator;
• and
• a bias optimizer that monitors the frequency control device and generates a bias voltage for the oscillator,
• wherein the oscillator includes a transfer function from bias voltage to frequency that is proportional to a transfer function from a low frequency noise component to frequency, the transfer function from bias voltage to frequency having a convex shape with a local minimum at which a sensitivity of the frequency to changes in the bias voltage is zero;
• determining the local minimum of the transfer function from bias voltage to frequency;
• and
• setting the bias voltage from the bias optimizer to the local minimum.