Resonator circuit
A resonator circuit includes a transformer comprising a primary winding and a secondary winding. The primary winding is inductively coupled with the secondary winding. A primary capacitor is connected to the primary winding. The primary capacitor and the primary winding form a primary circuit. A secondary capacitor is connected to the secondary winding. The secondary capacitor and the secondary winding form a secondary circuit. The resonator circuit has a common mode resonance frequency at an excitation of the primary circuit in a common mode. The resonator circuit has a differential mode resonance frequency at an excitation of the primary circuit in a differential mode. The common mode resonance frequency is different from the differential mode resonance frequency.
1. A radio frequency oscillator, comprising:
a first winding and a second winding;
a first capacitor connected to two ends of the first winding; and
a second capacitor connected to two ends of the second winding;
wherein the first capacitor comprises a pair of single-ended capacitors, and wherein the second capacitor comprises a pair of differential capacitors;
wherein the pair of single-ended capacitors are connected in series;
wherein the radio frequency oscillator comprises a common mode resonant frequency and a differential mode resonant frequency;
wherein the radio frequency oscillator further comprises an excitation circuit configured to excite the radio frequency oscillator in the common mode and in the differential mode;
wherein the excitation circuit comprises a pair of transistors, and wherein a resistor is coupled to source terminals of the pair of transistors.
2. The radio frequency oscillator of claim 1 , wherein the pair of differential capacitors are connected in series, and wherein the pair of single-ended capacitors are configured to provide a reference to ground potential.
3. The radio frequency oscillator of claim 2 , wherein the pair of single-ended capacitors are configured to tune both the common mode resonant frequency and the differential mode resonant frequency; and
wherein the pair of differential capacitors are configured to tune the differential mode resonant frequency.
4. The radio frequency oscillator of claim 1 , wherein the resistor is tunable.
5. The radio frequency oscillator of claim 1 , wherein the inductance associated with the first winding in the common mode is greater than the inductance associated with the first winding in the differential mode.
6. The radio frequency oscillator of claim 3 , wherein the pair of single-ended capacitors comprise a first single-ended capacitor and a second single-ended capacitor;
wherein a first end of the first single-ended capacitor is coupled to a first end of the first winding, and a second end of the first single-ended capacitor is coupled to a ground potential;
wherein a first end of the second single-ended capacitor is coupled to a second end of the first winding, and a second end of the second single-ended capacitor is coupled to the ground potential.
7. The radio frequency oscillator of claim 6 , wherein the pair of single-ended capacitors further comprise a first transistor and a second transistor;
wherein the first transistor is configured to connect and disconnect the first single-ended capacitor between the first end of the first winding and the ground potential;
wherein the second transistor is configured to connect and disconnect the second single-ended capacitor between a second end of the first winding and the ground potential.
8. The radio frequency oscillator of claim 7 , wherein the gate of the first transistor and the gate of the second transistor are coupled to a same control signal from an inverter.
9. The radio frequency oscillator of claim 1 , wherein the pair of differential capacitors comprise a first differential capacitor and a second differential capacitor.
10. The radio frequency oscillator of claim 9 , wherein the first differential capacitor and the second differential capacitor are a pair of balanced capacitors.
11. The radio frequency oscillator of claim 10 , further comprising:
a switch coupled between the first differential capacitor and the second differential capacitor, wherein the switch is configured to connect and disconnect the first differential capacitor and the second differential capacitor to and from one another.
12. The radio frequency oscillator of claim 1 , wherein the pair of differential capacitors comprises a plurality of switched capacitors configurable to be arranged in parallel.
13. The radio frequency oscillator of claim 1 , wherein the common mode resonant frequency of the radio frequency oscillator is independent from the second capacitor, and the differential mode resonant frequency of the radio frequency oscillator is dependent on the second capacitor.
14. A method for tuning a radio frequency oscillator, comprising:
coupling two ends of a first winding to a first capacitor, wherein the first capacitor comprises a pair of single-ended capacitors, wherein the pair of single-ended capacitors are connected in series;
coupling two ends of a second winding to a second capacitor, wherein the second capacitor comprises a pair of differential capacitors;
exciting, by a pair of transistors, the radio frequency oscillator in a common mode and in a differential mode; and
coupling a resistor to a source terminal of the pair of transistors.
15. The method of claim 14 , further comprising:
coupling the pair of differential capacitors in series;
providing a ground potential as a reference to the pair of single-ended capacitors;
tuning, by the pair of single-ended capacitors, both a common mode resonant frequency of the radio frequency oscillator and a differential mode resonant frequency of the radio frequency oscillator; and
tuning, by the pair of differential capacitors, the differential mode resonant frequency of the radio frequency oscillator.
16. The method of claim 15 , wherein the pair of single-ended capacitors comprise a first single-ended capacitor and a second single-ended capacitor, and wherein the pair of single-ended capacitors further comprise a first transistor and a second transistor;
wherein the method further comprises:
coupling a first end of the first single-ended capacitor to a first end of the first winding,
coupling a second end of the first single-ended capacitor to a ground potential;
coupling a first end of the second single-ended capacitor to a second end of the first winding;
coupling a second end of the second single-ended capacitor to the ground potential;
connecting and disconnecting the first single-ended capacitor between the first end of the first winding and the ground potential through the first transistor; and
connecting and disconnecting the second single-ended capacitor between a second end of the first winding and the ground potential through the second transistor.
17. The method of claim 16 , wherein the pair of differential capacitors comprise a first differential capacitor and a second differential capacitor;
wherein the first differential capacitor and the second differential capacitor are a pair of balanced capacitors;
wherein a switch is coupled between the first differential capacitor and the second differential capacitor;
wherein the method further comprises: connecting and disconnecting the first differential capacitor and the second differential capacitor to and from one another through the switch.