Notch filter capable of partially suppressing/attenuating signal frequency components and associated filter circuit

1. A notch filter, comprising:

a first adder, adding an input signal and an output of a first multiplier to generate an output;

a delay circuit, coupled to the first adder, performing a unit delay on the output of the first adder to generate a delayed signal; wherein, the first multiplier, coupled to the delay circuit and the first adder, receives the delayed signal, and multiplies a first parameter by the delayed signal to generate the output of the first multiplier to the first adder;

a second multiplier, multiplying a second parameter and an adjustable parameter to generate an intermediate signal;

a third multiplier, coupled to the second multiplier and the delay circuit, multiplying the delayed signal by the intermediate signal to generate an output; and

a second adder, coupled to the third multiplier and the input signal, adding the input signal and an inverted signal of the output of the second multiplier to generate an output signal of the notch filter.

2. The notch filter according to claim 1 , wherein the adjustable parameter is for adjusting an amount of signal attenuation at a center frequency of the notch filter to adjust an amount of attenuation of a signal component of the input signal at the center frequency.

3. The notch filter according to claim 1 , wherein the first parameter is α×e jω , the second parameter is (1−α)×e jω , α is a parameter for setting a notch bandwidth of the notch filter, and ω is a center frequency parameter.

4. A notch filter, comprising:

a first delay circuit, receiving and delaying an input signal to generate a first delayed signal;

a first multiplier, coupled to the first delay circuit, multiplying the first delayed signal by a first parameter to generate an output;

a first adder, receiving the input signal, the output of the first multiplier and a feedback signal, and generating an output signal of the notch filter;

a second delay circuit, receiving and delaying the output signal to generate a second delayed signal; and

a second multiplier, coupled to the second delay circuit, multiplying a second parameter by the second delayed signal to generate the feedback signal to the first adder.

5. The notch filter according to claim 4 , wherein the first parameter is −[α+A×(1−α)]×e jω , the second parameter is α×e jω , α is a parameter for setting a notch bandwidth of the notch filter, ω is a center frequency parameter, and A is an adjustable parameter for adjusting an amount of signal attenuation at a center frequency of the notch filter to adjust an amount of attenuation of a signal component of the input signal at the center frequency.

6. A filter circuit, comprising:

a notch filter, adjusting an amount of signal attenuation of a center frequency of the notch filter according to an adjustable parameter A, wherein the adjustable parameter A includes a parameter not equal to the center frequency; and

an adaptive estimating circuit, coupled to the notch filter, estimating a signal;

wherein, the notch filter first partially suppresses a frequency component of the input signal at the center frequency of the notch filter to cause the adaptive estimating circuit to subsequently estimate and track the partially suppressed input signal.

7. The filter circuit according to claim 6 , wherein the notch filter comprises:

a first adder, adding an input signal and an output of a first multiplier to generate an output;

a delay circuit, coupled to the first adder, performing a unit delay on the output of the first adder to generate a delayed signal; wherein, the first multiplier, coupled to the delay circuit and the first adder, receives the delayed signal, and multiplies a first parameter by the delayed signal to generate the output of the first multiplier to the first adder;

a second multiplier, multiplying a second parameter and an adjustable parameter according to the second parameter and the adjustable parameter to generate an intermediate signal;

a third multiplier, coupled to the second multiplier and the delay circuit, multiplying the delayed signal by the intermediate signal to generate an output; and

a second adder, coupled to the third multiplier and the input signal, adding the input signal and an inverted signal of the output of the second multiplier to generate an output signal of the notch filter.

8. The filter circuit according to claim 6 , wherein the notch filter comprises:

a first delay circuit, receiving and delaying an input signal to generate a first delayed signal;

a first multiplier, coupled to the first delay circuit, multiplying the first delayed signal by a first parameter to generate an output;

a first adder, receiving the input signal, the output of the first multiplier and a feedback signal, and generating an output signal of the notch filter;

a second delay circuit, receiving and delaying the output signal to generate a second delayed signal; and

a second multiplier, coupled to the second delay circuit, multiplying a second parameter by the second delayed signal to generate the feedback signal to the first adder.

9. The filter circuit according to claim 6 , wherein the adaptive estimating circuit comprises:

a delay circuit, comprising a plurality of delay circuit connected in series;

a multiplication circuit, comprising a plurality of multipliers, each of the multipliers connected to an output of a corresponding delay circuit among the delay circuits, and multiplying the output of the corresponding delay circuit by a corresponding parameter according to the corresponding parameter;

an addition circuit, comprising a plurality of adders connected in series, each of the adders connected to an output of one corresponding adders among the adders, the adders adding the plurality of outputs of the multipliers to generate an estimated signal; and

an overall adder, connected to the addition circuit, adding the partially suppressed input signal and an inverted signal of the estimated signal to generate an error signal, which is for adjusting the plurality of corresponding parameters of the adders.