Question

In: Electrical Engineering

Create a 2nd order Butterworth 150 Hz frequency low pass filter. Please provide transfer function and...

Create a 2nd order Butterworth 150 Hz frequency low pass filter. Please provide transfer function and frequency response. Thank you

Solutions

Expert Solution

Transfer function for a 2nd order butterworth low pass filter

Cutoff frequency

Given

let

let us consider

MATLAB CODE

>> num=888.264*10^3

num =

888264

>> den=[1 942.507 888264]

den =

1.0e+005 *

0.0000 0.0094 8.8826

>> G=tf(num,den)

Transfer function:
888264
----------------------
s^2 + 942.5 s + 888264

>> bode(G)
>> [Wgc,Wpc,GM,PM]=margin(G)

Wgc =

Inf


Wpc =

90.0038


GM =

Inf


PM =

942.4467


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