how to feed a signal through a transfer function?

J
Jason · Jan 18, 2025 · 539 views
Question
I'm sure this is probably really simple but I can't seem to find it. I have a z transform transfer function, given from tf, and I have an input signal. What i need is to pass the signal though the system and get the output. This is a small excerpt from my very long code that is the part I am stuck on.   if true % code %the signal N = 250; n = 0:1:N-1; x1 = 3*cos(20*pi*n/N); %the transfer function num = [0.3881 0.3881]; den = [1 -0.4452 0.2700 -0.0486]; fs = 1/250; hz = tf(num, den, fs) end Any help or direction would be greatly appreciated.
Expert Answer
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Prashant Kumar PhD Expert
Answered Aug 14, 2026

You can use lsim function

 

N = 250;
n = 0:1:N-1;
x1 = 3*cos(20*pi*n/N);
num = [0.3881 0.3881];
den = [1 -0.4452 0.2700 -0.0486];
fs = 1/250;
hz = tf(num, den, fs)
[y,t]=lsim(hz,x1)
stem(t,y)

 

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