How to design a Butterworth filter?
To design a Butterworth filter, use the output arguments n and Wn as inputs to butter. [n,Wn] = buttord (Wp,Ws,Rp,Rs,'s') finds the minimum order n and cutoff frequencies Wn for an analog Butterworth filter. Specify the frequencies Wp and Ws in radians per second. The passband or the stopband can be infinite.
What is the cutoff frequency of a Butterworth filter?
Design a 6th-order lowpass Butterworth filter with a cutoff frequency of 300 Hz, which, for data sampled at 1000 Hz, corresponds to 0. 6 ? rad/sample. Plot its magnitude and phase responses. Use it to filter a 1000-sample random signal. fc = 300; fs = 1000; [b,a] = butter (6,fc/ (fs/2)); freqz (b,a, ,fs) subplot (2,1,1) ylim ( [-100 20])
How do you make a 20th-order Butterworth bandpass filter?
Design a 20th-order Butterworth bandpass filter with a lower cutoff frequency of 500 Hz and a higher cutoff frequency of 560 Hz. Specify a sample rate of 1500 Hz. Use the state-space representation. Design an identical filter using designfilt. [A,B,C,D] = butter (10, [500 560]/750); d = designfilt ( 'bandpassiir', 'FilterOrder' ,20,
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