An oscillator circuit having a source of an oscillating signal, a tank circuit including an inductor and a capacitor, and a discretely switchable capacitance module configured to control an amount of capacitance in the oscillator circuit. The discretely switchable capacitance module includes, in one embodiment, a capacitor coupled between a first node and a second node, a switch, having a control node, coupled between the second node and a third node; and a DC feed circuit, having a first end coupled to the second node and a second end configured to receive a first or second control signal. The control node of the switch is tied to a predetermined bias voltage. When the first control signal is applied, the capacitor is coupled between the first node and the third node via the switch such that the capacitor is coupled in parallel with the capacitor of the tank circuit, and when the second control signal is applied the capacitor is decoupled from the tank circuit.