High Q value filter circuit graphic analysis

1), there is a circuit on the network to get the high-band bandpass filtering effect with the high ratio of R3/Req. Due to the GBW parameters of the op amp, the center frequency of the actual circuit is less than the calculated value.

2), with resistance

There is also a very complicated 50Hz notch circuit on the Internet. After repeated simulation analysis, I get a simple calculation formula for any frequency notch, fn=1/(2pC√R2R); fine-tuning resistor R2 makes the output and input waveform just right. Inverted, and then adjusted to 0 by R3, the best notch effect.

According to the original circuit parameters, fn=1/[2p(0.1e-6)√(411e+3*2.4e+3)]=50Hz.

If the capacitance is changed to C=2uf and the others are unchanged, then fn=1/[2p(2e-6)(√411*2.4)e+3]=2.5Hz.

The GBW parameters of the op amp have little effect on the notch frequency, but have a low-pass filtering effect on the frequency signal higher than GBW.

3), with resistance to bandpass

The above-mentioned band-stop circuit is a differential operation, and the time constant of the - terminal determines the frequency of the band pass of the circuit. When the fn frequency sine wave is input, R1: R3 = Re: Rf (where Re and Rf are equivalent resistances corresponding to the transmission frequency), The differential output is equal to 0 to achieve the notch of the fn frequency; when R3

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