getting z transform in factored form?using Matlab?

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ABTJ
ABTJ 2020-2-24
回答： Abhishek 2025-3-14
How we can get z transform in factored form if we have z,p and k?I have also attached snapshot of z transform below
I can use matlab command tf2zp for finding z,p and k.
(z,p,k)=tf2zp(n,d) where n=numerator of H(z) and d=denominator of H(z)
But from there onwards how can i then proceed to find factored form?
Is it better to use matlab function zp2sos ??

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回答（2 个）

Star Strider
Star Strider 2020-2-24
Control System Toolbox:
z = tf('z');
H = (4*z^2 + 3*z + 9) / (4*z^2 + 3*z - 4);
zsys = zpk(H);
Z = [zsys.Z{:}]
P = [zsys.P{:}]
K = zsys.K
Z =
-0.375 + 1.45236875482778i
-0.375 - 1.45236875482778i
P =
-1.44300046816469
0.693000468164691
K =
1
  2 个评论
Star Strider
Star Strider 2020-2-25
My code obviously works in R2019b.
Try this instead:
Z = cell2mat(zsys.Z)
P = cell2mat(zsys.P)
K = zsys.K

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Abhishek
Abhishek 2025-3-14
Hi ABTJ,
I understand that you want to express the Z-transform in factored form after determining the zero, poles and gain using the “tf2zp” function. The following MATLAB Answer explains how to do the same:
https://www.mathworks.com/matlabcentral/answers/768097-implementing-factored-form-in-matlab?s_tid=srchtitle

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