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Implementing factored form in MATLAB?

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ABTJ
ABTJ on 10 Mar 2021
Commented: Walter Roberson on 10 Mar 2021
I have a z transform in rational form as shown in attached photo
and i want to convert it into factored form
How can i implement it in MATLAB? I learnt from a google resource that we should use "zp2sos"command but i am not satisfied because output of "zp2sos"command does not looks like factored form
  1 Comment
Walter Roberson
Walter Roberson on 10 Mar 2021
By the way, you do not need to create an zpk intermediate form
z = tf('z');
H = (4*z^2+3*z+9)/(4*z^2+3*z-4)
H = 4 z^2 + 3 z + 9 --------------- 4 z^2 + 3 z - 4 Sample time: unspecified Discrete-time transfer function.
H = [H, z/H] %just to give a more complicated system
H = From input 1 to output: 4 z^2 + 3 z + 9 --------------- 4 z^2 + 3 z - 4 From input 2 to output: 4 z^3 + 3 z^2 - 4 z ------------------- 4 z^2 + 3 z + 9 Sample time: unspecified Discrete-time transfer function.
HN = H.Numerator;
HD = H.Denominator;
HN = cellfun(@(C) C(find(C,1):end), HN, 'uniform', 0); %trim leading 0
HD = cellfun(@(C) C(find(C,1):end), HD, 'uniform', 0); %trim leading 0
Hsos = cellfun(@tf2sos, HN, HD, 'uniform', 0).';
celldisp(Hsos)
Hsos{1} = 1.0000 0.7500 2.2500 1.0000 0.7500 -1.0000 Hsos{2} = 1.0000 0.7500 -1.0000 1.0000 0.7500 2.2500

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