Low-pass filter utilizing mutual inductance
A low-pass filter having a notch frequency due to a resonance between a mutual inductance of inductive elements and a capacitance. An exemplary low-pass filter generally includes a first inductive element having a first terminal and a second terminal, the first terminal being coupled to the input port, and a second inductive element having a first terminal and a second terminal, the first terminal of the second inductive element being coupled to the second terminal of the first inductive element and the second terminal of the second inductive element being coupled to the output port. The filter also includes a shunt capacitive element coupled to the second terminal of the first inductive element, wherein a mutual inductance between the first inductive element and the second inductive element and a capacitance of the shunt capacitive element are configured to have a resonance providing a notch frequency for the low-pass filter.
1. A low-pass filter comprising:
an input port;
an output port;
a first inductive element having a first terminal and a second terminal, the first terminal of the first inductive element being coupled to the input port;
a second inductive element having a first terminal and a second terminal, the first terminal of the second inductive element being coupled to the second terminal of the first inductive element and the second terminal of the second inductive element being coupled to the output port; and
a shunt capacitive element coupled to the second terminal of the first inductive element and comprising an array of switched capacitors, wherein a mutual inductance between the first inductive element and the second inductive element and a capacitance of the shunt capacitive element are configured to have a resonance providing a notch frequency for the low-pass filter.
2. The filter of claim 1 , wherein the notch frequency is lower than a nominal cut-off frequency of the low-pass filter without considering the mutual inductance.
3. The filter of claim 1 , wherein the mutual inductance is configured based on a distance between the first inductive element and the second inductive element.
4. The filter of claim 1 , wherein the first inductive element is disposed adjacent to and along a side of the second inductive element.
5. The filter of claim 1 , wherein a portion of the first inductive element overlaps with a portion of the second inductive element.
6. The filter of claim 1 , wherein the first inductive element comprises a first spiral wound in a clockwise direction, and the second inductive element comprises a second spiral wound in a clockwise direction.
7. The filter of claim 1 , wherein the first inductive element comprises a first spiral wound in a counter-clockwise direction, and the second inductive element comprises a second spiral wound in a counter-clockwise direction.
8. The filter of claim 1 , wherein the array of switched capacitors forms a tunable capacitive array.
9. A radio frequency front-end circuit comprising a low-pass filter, the low-pass filter comprising:
an input port;
an output port;
a first inductive element having a first terminal and a second terminal, the first terminal of the first inductive element being coupled to the input port;
a second inductive element having a first terminal and a second terminal, the first terminal of the second inductive element being coupled to the second terminal of the first inductive element and the second terminal of the second inductive element being coupled to the output port; and
a shunt capacitive element coupled to the second terminal of the first inductive element and comprising an array of switched capacitors, wherein a mutual inductance between the first inductive element and the second inductive element and a capacitance of the shunt capacitive element are configured to have a resonance providing a notch frequency for the low-pass filter.
10. The circuit of claim 9 , wherein the low-pass filter is a part of a diplexer, the diplexer further comprising a high-pass filter coupled to the low-pass filter.
11. The circuit of claim 9 , wherein the array of switched capacitors forms a tunable capacitive array.
12. The circuit of claim 9 , wherein the mutual inductance is configured based on a distance between the first inductive element and the second inductive element.
13. The circuit of claim 9 , wherein the notch frequency is lower than a nominal cut-off frequency of the low-pass filter without considering the mutual inductance.
14. The circuit of claim 9 , wherein the first inductive element is disposed adjacent to and along a side of the second inductive element.
15. The circuit of claim 9 , wherein a portion of the first inductive element overlaps with a portion of the second inductive element.
16. The circuit of claim 9 , wherein the first inductive element comprises a first spiral wound in a clockwise direction, and the second inductive element comprises a second spiral wound in a clockwise direction.
17. The circuit of claim 9 , wherein the first inductive element comprises a first spiral wound in a counter-clockwise direction, and the second inductive element comprises a second spiral wound in a counter-clockwise direction.