Simulate and plot Butterworth filter frequency response using transfer function

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Genrikh
Genrikh 2022-12-11
回答： Star Strider 2022-12-11
I am attempting to the simulate the frequency response of a butterworth fiilter. The transfer function for the butterworth filter is, R/(s^3(L1)(L2)+S^2RC(L1)+S(L1+L2)+R). The filter is designed to be a bandpass filter at 1kHz.
This is the code I have
R = 10;
L1 = 10;
L2 = 10;
C = 1;
numerator = R;
a = L1*L2*C;
b = R*C*L1;
c = L1+L2;
denominator = [a, b, c, R];
sys = tf(numerator, denominator);
stepplot(sys)

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采纳的回答

Star Strider
Star Strider 2022-12-11
Ran in:
If you want to see the frequency response, use the bodeplot function —
R = 10;
L1 = 10;
L2 = 10;
C = 1; % Changed
numerator = R;
a = L1*L2*C;
b = R*C*L1;
c = L1+L2;
denominator = [a, b, c, R];
sys = tf(numerator, denominator);
hbp = bodeplot(sys);
grid
setoptions(hbp, 'FreqUnits','kHz');
The component values need to be changed to achieve the desired frequency response. I leave that to you.
.

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