Band-pass filter using LC resonators

1. A band-pass filter, comprising:

an input node coupled to receive an oscillating input signal;

an output node;

a first LC resonator coupled to a first node coupled between the input node and the output node and to a first power supply node coupled to provide a first voltage, the first LC resonator including:

a first capacitor, and

a first inductor coupled in series with the first capacitor,

a second LC resonator coupled in parallel with the first LC resonator and coupled to a second node coupled between the input node and the output node, the second LC resonator including:

a second capacitor, and

a second inductor disposed in series with the second capacitor;

wherein the output node is coupled to output a filtered response signal that includes at least one zero based on the oscillating input signal and the first LC resonator, and

wherein the first and second inductors are disposed at a distance from one another on a semiconductor substrate such that the first and second inductors are inductively coupled together.

2. The band-pass filter of claim 1 , further comprising:

a plurality of LC resonators respectively coupled to a node that is coupled between the input node and the output node, each of the plurality of LC resonators disposed in parallel with each other and with the first LC resonator.

3. The band-pass filter of claim 2 , further comprising at least one capacitor coupled between each of the nodes to which the LC resonators are coupled.

4. The band-pass filter of claim 1 , wherein an inductor/capacitor (LC) value of the first LC resonator is equal to an LC value of the second LC resonator such that the output response of the band-pass filter provides a single zero.

5. The band-pass filter of claim 1 , wherein an inductor/capacitor (LC) value of the first LC resonator is equal to an LC value of the second LC resonator and the output response of the band-pass filter provides at least two zeroes.

6. The band-pass filter of claim 1 , further comprising a third capacitor coupled between the first and second nodes.

7. The band-pass filter of claim 1 , further comprising:

a third capacitor coupled between the input node and the first node, and

a fourth capacitor coupled between the first node and the output node.

8. A band-pass filter, comprising:

an input node configured to receive an oscillating input signal;

an output node; and

a first LC resonator coupled to a first node coupled between the input node and the output node and to a first power supply configured to provide a first voltage, the first LC resonator including:

a first capacitor, and

a first inductor coupled in series with the first capacitor;

a second capacitor coupled between the input node and the first node;

a third capacitor coupled between the first node and the output node; and

a second LC resonator coupled in parallel with the first LC resonator and coupled to a second node coupled between the third capacitor and a fourth capacitor that is coupled to the output node, the second LC resonator including:

a fifth capacitor, and

a second inductor disposed in series with the fifth capacitor,

wherein the output node is configured to output a filtered response signal that includes at least one zero based on the oscillating input signal and the first LC resonator, and

wherein the first and second inductors are disposed at a distance from one another on a semiconductor substrate such that the first and second inductors are inductively coupled together.

9. The band-pass filter of claim 8 , further comprising:

a plurality of LC resonators respectively coupled to a node coupled between the input node and the output node, each of the plurality of LC resonators disposed in parallel with each other and with the first LC resonator.

10. The band-pass filter of claim 9 , further comprising at least one capacitor coupled between each of the nodes to which the LC resonators are coupled.

11. The band-pass filter of claim 8 , wherein an inductor/capacitor (LC) value of the first LC resonator is equal to an LC value of the second LC resonator such that the output response of the band-pass filter provides a single zero.

12. The band-pass filter of claim 8 , wherein an inductor/capacitor (LC) value of the first LC resonator is equal to an LC value of the second LC resonator and the output response of the band-pass filter provides at least two zeroes.

13. A method, comprising:

receiving an input signal at an input node of a band-pass filter formed on a semiconductor substrate, the band-pass filter comprising:

a first LC resonator coupled to a first node coupled between the input node and an output node and to a first power supply node coupled to provide a first voltage, the first LC resonator including:

a first capacitor, and

a first inductor coupled in series with the first capacitor; and

a second LC resonator coupled in parallel with the first LC resonator and coupled to a second node coupled between the input node and the output node, the second LC resonator including:

a second capacitor, and

a second inductor disposed in series with the second capacitor and positioned on the semiconductor substrate such that the second inductor is inductively coupled to the first inductor;

filtering the input signal to provide an output signal in accordance with a transfer function of the band-pass filter, the transfer function including at least one zero provided by the first LC resonator; and

outputting the output signal from the output node.

14. The band-pass filter of claim 13 , wherein the transfer function of the band-pass filter includes a first zero that corresponds to the first LC resonator and a second zero that corresponds to the second LC resonator.

15. The band-pass filter of claim 13 , wherein the transfer function of the band-pass filter includes a single zero that corresponds to a combination of the first and second LC resonators.