Complex filter and calibration method

1. A complex filter for processing an in-phase signal and a quadrature-phase signal, comprising:

a first low-pass filter, for receiving the in-phase signal and outputting a filtering result;

a second low-pass filter, for receiving the quadrature-phase signal and outputting another filtering result;

a connection unit, coupled between the first low-pass filter and the second low-pass filter;

a first compensation resistor, having one terminal coupled to a terminal of a first input resistor of the first low-pass filter, which does not receives the in-phase signal, and another terminal coupled to a terminal of a second input resistor of the second low-pass filter, which receives the quadrature-phase signal; and

a second compensation resistor, having one terminal coupled to another terminal of the second input resistor, which does not receive the quadrature-phase signal, and another terminal coupled to another terminal of the first input resistor, which receives the in-phase signal.

2. The complex filter of claim 1 , wherein a ratio of the first input resistor to the second compensation resistor is related to a phase mismatch between the in-phase signal and the quadrature-phase signal when phases of the in-phase signal and the quadrature-phase signal are mismatched.

3. The complex filter of claim 1 , wherein resistance of the first compensation resistor is greater than resistance of the second input resistor for eliminating a phase mismatch between the in-phase signal and the quadrature-phase signal, and a ratio of the second input resistor to the first input resistor is related to an amplitude mismatch between the in-phase signal and the quadrature-phase signal when amplitudes of the in-phase signal and the quadrature-phase signal are mismatched.

4. The complex filter of claim 1 , wherein the first input resistor comprises a fixed value resistor and a variable resistor in parallel.

5. The complex filter of claim 1 , wherein the second input resistor comprises a fixed value resistor and a variable resistor in parallel.

6. The complex filter of claim 1 further comprising a buffer unit distinct from a buffer unit of the first low-pass filter and coupled to the terminal of the first input resistor, which does not receive the in-phase signal.

7. The complex filter of claim 1 further comprising a buffer unit distinct from a buffer unit of the second low-pass filter and coupled to the other terminal of the second input resistor, which does not receive the quadrature-phase signal.

8. The complex filter of claim 1 , wherein the complex filter is a leapfrog complex band-pass filter.

9. The complex filter of claim 1 further comprising:

a first buffer unit, distinct from a buffer unit of the first low-pass filter and coupled to the terminal of the first input resistor, which does not receive the in-phase signal; and

a second buffer unit, distinct from a buffer unit of the second low-pass filter and coupled to the other terminal of the second input resistor, which does not receive the quadrature-phase signal.

10. A calibration method, for eliminating a mismatch between an in-phase signal and a quadrature-phase signal in a receiver, the receiver comprising a complex filter comprising a first low-pass filter and a second low-pass filter, for filtering image signals of the in-phase signal and the quadrature-phase signal, respectively, and a connection unit, coupled between the first low-pass filter and the second low-pass filter, a first compensation resistor having one terminal coupled to a terminal of a first input resistor of the complex filter, which does not receive the in-phase signal, and another terminal coupled to a terminal of a second input resistor of the complex filter, which receives the quadrature-phase signal, and a second compensation resistor having one terminal coupled to another terminal of the second input resistor, which does not receive the quadrature-phase signal, and another terminal coupled to another terminal of the first input resistor, which receives the in-phase signal, the calibration method comprising:

receiving the in-phase signal and the quadrature-phase signal; and

determining a ratio of the second input resistor to the first input resistor according to an amplitude mismatch between the in-phase signal and the quadrature-phase signal.

11. The calibration method of claim 10 further comprising determining a ratio of the first input resistor to the second compensation resistor according to a phase mismatch between the in-phase signal and the quadrature-phase signal.

12. The calibration method of claim 10 further comprising setting resistance of the first compensation resistor greater than resistance of the second input resistor for eliminating a phase mismatch between the in-phase signal and the quadrature-phase signal.

13. The calibration method of claim 10 further comprising forming a buffer unit distinct from a buffer unit of the first low-pass filter and coupled to the terminal of the first input resistor, which does not receive the in-phase signal.

14. The calibration method of claim 10 further comprising forming a buffer unit distinct from a buffer unit of the second low-pass filter and coupled to the other terminal of the second input resistor, which does not receive the quadrature-phase signal.

15. The calibration method of claim 10 , wherein the complex filter is a leapfrog complex band-pass filter.

16. The calibration method of claim 10 further comprising:

forming a first buffer unit distinct from a buffer unit of the first low-pass filter and coupled to the terminal of the first input resistor, which does not receive the in-phase signal; and

forming a second buffer unit distinct from a buffer unit of the second low-pass filter and coupled to the other terminal of the second input resistor, which does not receive the quadrature-phase signal.