New answers tagged butterworth
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votes
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Sampling frequency in bilinear transform when designing butterworth filter
Bilinear transform has a nonlinear frequency mapping
$$
\varOmega = \frac{2}{T}\tan{\frac{\omega}{2}}
$$
Substituting $\varOmega = 1$ and $\omega = 0.5\pi$ into it and you can derive that
$$
T = 2
$$
...
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1
vote
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How to design digital Butterworth filter and return its zeros, poles and gain
This can be designed in the following steps:
Design a $N$-th order lowpass prototype of the analog Butterworth filter and you get an all-pole filter with poles
$$
p_{a, n} = e^{j\pi(2n-1+N)/2N}, \ \ \...
- 2,628
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