System and method for integrated filtering and amplification
A coupled resonator filter including a first parallel resonator including a first capacitance connected in parallel with a first inductance. The filter includes a second parallel resonator including a second capacitance connected in parallel with a second inductance and a third parallel resonator including a third capacitance connected in parallel with a third inductance. Magnetic coupling between the first inductance and the second inductance, between the second inductance and the third inductance, and between the first inductance the third inductance occurs in accordance with first, second and third coupling factors, respectively. A frequency response of the coupled resonator filter includes a notch when values of the first coupling factor, the second coupling factor and the third coupling factor satisfy predetermined conditions.
1. An integrated circuit coupled resonator filter comprising:
a low-noise amplifier;
a first parallel resonator including a first capacitance connected in parallel with a first inductance;
a second parallel resonator including a second capacitance connected in parallel with a second inductance;
a third parallel resonator including a third capacitance connected in parallel with a third inductance, the third parallel resonator being coupled to an input of the low-noise amplifier;
a first coupling capacitance connected between the first parallel resonator and the second parallel resonator, the coupling capacitance capacitively coupling the first parallel resonator and the second parallel resonator;
a second coupling capacitance connected between the second parallel resonator and the third parallel resonator, the second coupling capacitance capacitively coupling the second parallel resonator and the third parallel resonator;
wherein magnetic coupling between the first inductance and the second inductance magnetically couples the first parallel resonator and the second parallel resonator in accordance with a first coupling factor;
wherein magnetic coupling between the second inductance and the third inductance magnetically couples the second parallel resonator and the third parallel resonator in accordance with a second coupling factor;
wherein magnetic coupling between the first inductance and the third inductance magnetically couples the first parallel resonator and the third parallel resonator in accordance with a third coupling factor;
wherein a frequency response of the coupled resonator filter includes a notch when values of the first coupling factor, the second coupling factor and the third coupling factor satisfy predetermined conditions.
2. The integrated circuit coupled resonator filter of claim 1 wherein the predetermined conditions include a condition that the first coupling factor, the second coupling factor and the third coupling factor are negative.
3. The integrated circuit coupled resonator filter of claim 1 wherein the predetermined conditions include a condition that the first coupling factor and the second coupling factor are positive and the third coupling factor is negative.
4. The integrated circuit coupled resonator filter of claim 1 wherein the predetermined conditions include a condition that the first coupling factor and the second coupling factor are of opposite polarity and the third coupling factor is positive.
5. The integrated circuit coupled resonator filter of claim 1 wherein the low-noise amplifier is a source-degenerated low-noise amplifier and wherein the third parallel resonator includes a third capacitance and a third inductance wherein the third capacitance is at least partly implemented by a gate capacitance of the source-degenerated low-noise amplifier.
6. The integrated circuit coupled resonator filter of claim 1 wherein the low-noise amplifier is a source-gate feedback low-noise amplifier, the source-gate feedback low-noise amplifier including:
an input transistor including a gate and a source;
a gate inductance having a first terminal connected to the gate and a second terminal connected to an additional capacitance;
a source inductance connected to the source wherein the gate inductance and the source inductance are magnetically coupled.
7. The integrated circuit coupled resonator filter of claim 6 wherein the additional capacitance is connected to the gate inductance in series and wherein the frequency response of the coupled resonator filter includes an additional notch at a frequency determined by values of the gate inductance and the additional capacitance.
8. The integrated circuit coupled resonator filter of claim 1 wherein the first inductance and the second inductance are implemented on multiple layers of the integrated circuit and at least partially overlap.
9. The integrated circuit coupled resonator filter of claim 8 wherein the third inductance at least partially overlaps with at least one of the first inductance and the second inductance.
10. The integrated circuit coupled resonator filter of claim 1 wherein the third parallel resonator includes a third capacitance and a third inductance, the integrated circuit coupled resonator filter further including an additional integrated circuit coupled resonator filter connected to an output of the low-noise amplifier.
11. The integrated circuit coupled resonator filter of claim 10 wherein the additional integrated circuit coupled resonator filter includes:
a fourth parallel resonator including a fourth capacitance connected in parallel with a fourth inductance;
a fifth parallel resonator including a fifth capacitance connected in parallel with a fifth inductance;
a sixth parallel resonator including a sixth capacitance connected in parallel with a sixth inductance;
wherein magnetic coupling between the fourth inductance and the fifth inductance magnetically couples the fourth parallel resonator and the fifth parallel resonator;
wherein magnetic coupling between the fifth inductance and the sixth inductance magnetically couples the fifth parallel resonator and the sixth parallel resonator;
wherein magnetic coupling between the fourth inductance and the sixth inductance magnetically couples the fourth parallel resonator and the sixth parallel resonator.
12. An integrated circuit coupled resonator filter comprising:
a low-noise amplifier;
a first parallel resonator including a first capacitance connected in parallel with a first inductance;
a second parallel resonator including a second capacitance connected in parallel with a second inductance;
a third parallel resonator including a third capacitance in parallel with a third inductance, the third parallel resonator being coupled to an input of the low-noise amplifier;
wherein magnetic coupling between the first inductance and the second inductance magnetically couples the first parallel resonator and the second parallel resonator in accordance with a first coupling factor;
wherein magnetic coupling between the second inductance and the third inductance magnetically couples the second parallel resonator and the third parallel resonator in accordance with a second coupling factor;
wherein magnetic coupling between the first inductance and the third inductance magnetically couples the first parallel resonator and the third parallel resonator in accordance with a third coupling factor; wherein a frequency response of the coupled resonator filter includes a notch when values of the first coupling factor, the second coupling factor and the third coupling factor satisfy predetermined conditions.
13. The integrated circuit coupled resonator filter of claim 12 wherein the predetermined conditions include a condition that the first coupling factor, the second coupling factor and the third coupling factor are negative.
14. The integrated circuit coupled resonator filter of claim 12 wherein the predetermined conditions include a condition that the first coupling factor and the second coupling factor are positive and the third coupling factor is negative.
15. The integrated circuit coupled resonator filter of claim 12 wherein the predetermined conditions include a condition that the first coupling factor and the second coupling factor are of opposite polarity and the third coupling factor is positive.
16. The integrated circuit coupled resonator filter of claim 12 wherein the low-noise amplifier is a source-degenerated low-noise amplifier and wherein the third parallel resonator includes a third capacitance and a third inductance wherein the third capacitance is at least partly implemented by a gate capacitance of the source-degenerated low-noise amplifier.
17. The integrated circuit coupled resonator filter of claim 12 wherein the low-noise amplifier is a source-gate feedback low-noise amplifier, the source-gate feedback low-noise amplifier including:
an input transistor including a gate and a source;
a gate inductance having a first terminal connected to the gate and a second terminal connected to an additional capacitance;
a source inductance connected to the source wherein the gate inductance and the source inductance are magnetically coupled.
18. The integrated circuit coupled resonator filter of claim 12 wherein the first inductance and the second inductance are implemented on multiple layers of the integrated circuit and at least partially overlap.
19. The integrated circuit of claim 18 wherein the third inductance at least partially overlaps with at least one of the first inductance and the second inductance.
20. The integrated circuit coupled resonator filter of claim 12 wherein the third parallel resonator includes a third capacitance and a third inductance, the integrated circuit coupled resonator filter further including an additional integrated circuit coupled resonator filter connected to an output of the low-noise amplifier.
21. The integrated circuit coupled resonator filter of claim 20 wherein the additional integrated circuit coupled resonator filter includes:
a fourth parallel resonator including a fourth capacitance connected in parallel with a fourth inductance;
a fifth parallel resonator including a fifth capacitance connected in parallel with a fifth inductance;
wherein magnetic coupling between the fourth inductance and the fifth inductance magnetically couples the fourth parallel resonator and the fifth parallel resonator;
wherein magnetic coupling between the fifth inductance and the sixth inductance magnetically couples the fifth parallel resonator and the sixth parallel resonator.
22. The integrated circuit coupled resonator filter of claim 21 wherein the additional integrated circuit coupled resonator filter further includes a sixth parallel resonator having a sixth capacitance connected in parallel with a sixth inductance;
wherein magnetic coupling between the fourth inductance and the sixth inductance magnetically couples the fourth parallel resonator and the sixth parallel resonator.
23. An integrated circuit coupled resonator filter comprising:
a low-noise amplifier;
an Nth order coupled resonator filter coupled to an input of the low-noise amplifier, the Nth order coupled resonator filter including N magnetically-coupled parallel resonators arranged in succession, where N is at least 3 and where the N magnetically-coupled parallel resonators are configured to induce substantially only magnetic coupling therebetween; and
an Mth order coupled resonator filter coupled to an output of the low-noise amplifier, the Mth order coupled resonator filter including M magnetically-coupled parallel resonators arranged in succession, where M is at least 3 and where the M magnetically-coupled parallel resonators are configured to induce substantially only magnetic coupling therebetween.
24. The integrated circuit coupled resonator filter of claim 23 wherein a first parallel resonator of the N parallel resonators is connected to a signal source and wherein an input impedance of the first parallel resonator is equal to an impedance of the signal source.
25. The integrated circuit coupled resonator filter of claim 23 wherein an M th parallel resonator of the M parallel resonators is connected to a signal load and wherein an output impedance of the M th parallel resonator is equal to an impedance of the signal load.
26. The integrated circuit coupled resonator filter of claim 23 wherein a frequency response of the N th order coupled resonator filter includes a first notch at a first frequency dependent upon coupling characteristics between parallel resonators of the N parallel resonators.
27. The integrated circuit coupled resonator filter of claim 26 wherein a frequency response of the M th order coupled resonator filter includes a second notch at a second frequency dependent upon coupling characteristics between parallel resonators of the M parallel resonators.
28. The integrated circuit coupled resonator filter of claim 23 wherein the N th order coupled resonator filter includes:
a first parallel resonator including a first capacitance connected in parallel with a first inductance;
a second parallel resonator including a second capacitance connected in parallel with a second inductance;
a third parallel resonator including a third capacitance in parallel with a third inductance, the third parallel resonator being coupled to an input of the low-noise amplifier;
wherein magnetic coupling between the first inductance and the second inductance magnetically couples the first parallel resonator and the second parallel resonator in accordance with a first coupling factor;
wherein magnetic coupling between the second inductance and the third inductance magnetically couples the second parallel resonator and the third parallel resonator in accordance with a second coupling factor;
wherein magnetic coupling between the first inductance and the third inductance magnetically couples the first parallel resonator and the third parallel resonator in accordance with a third coupling factor;
wherein a frequency response of the N th order coupled resonator filter includes a notch when values of the first coupling factor, the second coupling factor and the third coupling factor satisfy predetermined conditions.