# US 10,483,938 B2 · Tunable filter

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- Number: US 10,483,938 B2
- Document ID: US10483938B2
- Status: Granted
- Kind: B2
- Application number: 15/871,240
- Filed: 2018-01-15
- Published: 2019-04-18
- Granted: 2019-11-19
- Earliest claimed: 2017-10-16
- Assignees: National Taiwan University
- Applicants: National Taiwan University
- Inventors: Chia-Chia Lin; Han-Yun Tsai; Ruey-Beei Wu
- Web page: https://patentgrep.com/patent/US10483938B2

## CPC

- H03H 7/12: Bandpass or bandstop filters with adjustable bandwidth and fixed centre frequency (H03H7/09 takes precedence)
- H01P 1/203: Strip line filters
- H03H 7/0115: {comprising only inductors and capacitors (H03H7/075, H03H7/09, H03H7/12, H03H7/13 take precedence)}
- H03H 7/0153: {Electrical filters; Controlling thereof}
- H03H 2001/0085: {Multilayer, e.g. LTCC, HTCC, green sheets}
- H03H 2210/025: Capacitor
- H03H: IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS (waveguides, resonators, lines or other devices of the waveguide type H01P)
- H01P: WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE (operating at optical frequencies G02B)

## Abstract

A tunable filter includes a first circuit and a second circuit. In both of them, the first inductor and the second inductor are connected in serial, and further connected with the first capacitor in parallel. The first end of the second capacitor is connected between the first inductor and the second inductor, and the second end of the second capacitor is grounded. The first end of the first capacitor of the first circuit is coupled to the input end of the tunable filter through a first coupling capacitor. The second end of the first capacitor of the first circuit is coupled to the first end of the first capacitor of the second circuit through a second coupling capacitor. The second end of the first capacitor of the second circuit is coupled to the output end of the tunable filter through a third coupling capacitor.

## Claims

### Claim 1

A tunable filter, having an input end and an output end, comprising:
a first circuit and a second circuit, wherein both of the first circuit and the second circuit include:
a first tunable capacitor, having a first end and a second end;
a first inductor and a second inductor, wherein the first inductor and the second inductor are connected in serial and further connected with the first tunable capacitor in parallel, and a mutual induction is generated between the first inductor and the second inductor; and
a second tunable capacitor, having a first end and a second end, wherein the first end of the second tunable capacitor is connected between the first inductor and the second inductor, and the second end of the second tunable capacitor is grounded;
wherein the first end of the first tunable capacitor of the first circuit is coupled to the input end of the tunable filter through a first coupling tunable capacitor, the second end of the first tunable capacitor of the first circuit is coupled to the first end of the first tunable capacitor of the second circuit through a second coupling tunable capacitor, and the second end of the first tunable capacitor of the second circuit is coupled to the output end of the tunable filter through a third coupling tunable capacitor;
wherein a ratio of a capacitance of the first tunable capacitor to a capacitance of the second tunable capacitor is 0.08˜0.12 in the first circuit, and a ratio of a capacitance of the first tunable capacitor to a capacitance of the second tunable capacitor is 0.08˜0.12 in the second circuit.

### Claim 2 (depends on 1)

The tunable filter according to claim 1, having multi-layered substrates, wherein the input end and the output end of the tunable filter, the first tunable capacitor, the second tunable capacitor, the first inductor and the second inductor of the first circuit, the first tunable capacitor, the second tunable capacitor, the first inductor and the second inductor of the second circuit, the first coupling tunable capacitor, the second coupling tunable capacitor and the third coupling tunable capacitor are configured on the multi-layered substrates.

### Claim 3 (depends on 1)

The tunable filter according to claim 1, wherein the capacitances of the first tunable capacitor and the second tunable capacitor of the first circuit are related to a center frequency of the tunable filter, and the capacitances of the first tunable capacitor and the second tunable capacitor of the second circuit are related to the center frequency of the tunable filter.

### Claim 4 (depends on 1)

The tunable filter according to claim 1, wherein a coefficient of the mutual induction between the first inductor and the second inductor of the first circuit is 0.3˜0.5, and a coefficient of the mutual induction between the first inductor and the second inductor of the second circuit is 0.3˜0.5.

### Claim 5 (depends on 1)

The tunable filter according to claim 1, wherein the capacitances of the first coupling tunable capacitor and the third coupling tunable capacitor are related to an insertion loss of the tunable filter.

### Claim 6 (depends on 1)

The tunable filter according to claim 1, wherein the capacitance of the second coupling tunable capacitor is related to a return loss of the tunable filter.
