quick question for pade function

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Amir Hamzah UTeM
Amir Hamzah UTeM il 18 Ago 2011
[num den]=pade(100,1)
num =
-1.0000 0.0200
den =
1.0000 0.0200
>> num
num =
-1.0000 0.0200
which one is poles and which one is residues?

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Paulo Silva
Paulo Silva il 18 Ago 2011
[num den]=pade(100,1)
num= -s+0.02 -> one zero at s=0.02
den= s+0.02 -> one pole at s=-0.02
You can see the zeros and poles like this pzmap(tf(num,den)) , or the step response step(tf(num,den)), tip: change the order from 1 to 2 and see what happens to the step response.
From the documentation of the pade function:
The row vectors num and den contain the numerator and denominator coefficients in descending powers of s. Both are Nth-order polynomials.
  2 Commenti
Amir Hamzah UTeM
Amir Hamzah UTeM il 18 Ago 2011
thanks Paulo,
so pole = -0.02 right? then what about residues?how can i get them?
Paulo Silva
Paulo Silva il 19 Ago 2011
Yes it's at s=-0.02
[r,p,k] = residue(num,den)
%[r,p,k] = residue(b,a) finds the residues, poles,
%and direct term of a partial fraction expansion
%of the ratio of two polynomials

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