impulse response from transfer function in matlab

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i have a transfer function given by
H(z)= 1-z^(-1)/1-z^(-1)+z^(-2)
how to find its impulse response h(n) in matlab what is the code for the same ?

Accepted Answer

Star Strider
Star Strider on 12 Jan 2016
This is how I would do it:
% H(z)= 1-z^(-1)/1-z^(-1)+z^(-2)
b = [1 -1];
a = [1 -1 1];
figure(1)
impz(b,a)
  7 Comments
M.Moksha laxmi
M.Moksha laxmi on 21 Feb 2021
In the same problem what should I do if I want to plot the step response?
Star Strider
Star Strider on 12 Jan 2022
Use the stepz function
% H(z)= 1-z^(-1)/1-z^(-1)+z^(-2)
b = [1 -1];
a = [1 -1 1];
figure(1)
impz(b,a)
figure(2)
stepz(b,a)
.

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More Answers (1)

Abdul Jabbar
Abdul Jabbar on 10 Dec 2016
z^-1 -4z^-2 -2z^-4 can any one tell me that how i can find the impulse response of this function?
  2 Comments
Petar Mostarac
Petar Mostarac on 8 Dec 2023
Edited: Petar Mostarac on 8 Dec 2023
Is this a joke? :)
It is -1, -4 0 -2 and zeros to inf.
z^-1 is one sample delay, one step delay
Formarly, use basic knowladge to find H(z) in form H=b/a and then you can use:
h=impz(b,a, length_of_impulse_response)
In your question: b=[1 -4 0 -2] and a=[1 0 0 0]
If it is a joke, then is a good one :)
Paul
Paul on 8 Dec 2023
Actually, the solution with impz should have: b = [0 1 -4 0 -2]

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