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11 votes
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Why don't unit circle poles lead to infinite amplitude response for Butterworth lowpass?

You've made an understandable mistake. You are probably looking at this picture: That is not the unit circle, and it isn't even in the $z$ domain. What you are looking at is the locations of the ...
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4 votes
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Specify notch bandwidth by pole placement

Summary Given the equation for the transfer function of the second order notch filter: $$ H(z) =\frac{1+2\alpha \cos(\omega_n)+\alpha^2}{2+2\cos(\omega_n)}\frac{z^2-2z\cos\omega_n+1}{(z^2-2az\cos\...
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0 votes

What is the difference between natural response and zero input response?

have a look at: https://www.youtube.com/watch?v=isSFqzZwu38 time: 19:22, he mentions that total= a) homogenous+particular, b) force + natural c) zero state+ zero input and that force+natural are not ...
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1 vote

Confused with region where root locus lies and sketch

I suspect that $G(s)$ is the Open Loop Gain. The root Locus would be the location of the poles in the Closed Loop Gain as you vary $K$. The poles in the Closed Loop Gain are given by the roots of the ...
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