How to convert filter object to state space?

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tfg250
tfg250 2022-8-29
编辑： tfg250 2022-8-29
I'm creating a filter object using
%B1(f) is my target transfer function
d_1a = fdesign.arbmagnphase('n,f,h',8,(0:0.1:30),double(B1(0:0.1:30)),60);
filtObj = design(d_1a,'iirls','SystemObject',true)
Then, I can use
freqz(filtObj)
to confirm it matches the target function. However, when I convert it to state space using
[A,B,C,D] = ss(filtObj);
sys_ss1 = ss(A,B,C,D);
Then I try to confirm the behavior of this system using
[H,wout] = freqresp(sys_ss1);
this output does not match my target transfer function. What am I missing here?

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Robert U
Robert U 2022-8-29
Hi tfg250,
You missed to supply the sample frequency for your state space model. Converting the filter object for a time discrete system to state space requires to use a time-discrete state space model as well.
[A,B,C,D] = ss(filtObj);
sys_ss1 = ss(A,B,C,D,1/60);
Kind regards,
Robert

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