z transform of a sequence

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saima
saima on 14 Apr 2012
Answered: Sundeep Javvaji on 13 Jul 2023
Hi,
i need to find the z transform of a sequence. ztrans in matlab does it for symbolic input. but i need to find it for a sequence like [1 2 3 4].
please help. thanks in advance
-saima
  2 Comments
manoj joshi
manoj joshi on 26 Feb 2019
watch this video for find finding z transform of discrete signal without using function in matlab
Anju K
Anju K on 1 Nov 2019
Respected madam,
I have already written the the MATLAB program code to find the Z transform of a finite duration sequence, in my blog at http://s5electronicsandcommunication.blogspot.com/2012/12/matlab-program-for-z-transform.html . Please read it and please tell your valuable opinion about it.
Anju K

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Answers (8)

Wayne King
Wayne King on 14 Apr 2012
The vector you give has a finite number of terms so the Z transform is just
1+2z^{-1}+3z^{-2}+4z^{-3}
unless the terms you give do not correspond to those powers of z. If they don't then we need to know which powers of z they do correspond to.
For example, is this a Laurent polynomial with both negative and positive powers of z?

Shakeel Ahmad Waqas
Shakeel Ahmad Waqas on 1 Dec 2016
How will I find Z transform of a System using same approach. e.g. I want to find z Transform of a system y[n]-2y[n-1]-3y[n-2]=x[n]-2x[n-1]+3x[n-2]; Can you please help me in this.?

Anirudh Roy
Anirudh Roy on 21 Jul 2020
Edited: Anirudh Roy on 21 Jul 2020
First create a 'Z Transform Variable'
Z=tf('Z')
Then say your array is A, and the Z transform is B
for n=1:length(A)
B=B+A(n)*Z^-n; % Assuming B=0 initially
end
Hope it helps

Harsha Vardhan Rao  Avunoori
Hello Saima,
I am assuming that the sequence which you have are the coefficients of a polynomial say
y = 1 + 2x+ 3x^2+4x^3
and you want to compute Y(z).
I followed this procedure to get the ztrans.
syms n;
f = 1 + 2*(n) + 3*(x^2) + 4*(x^3);
ztrans(f)
Let me know if you were expecting a similar approach like this.
-Harsha
  2 Comments
vikash
vikash on 23 Sep 2013
sorry but i need a help! how to write it if the sequence is big, say 500 elements
Walter Roberson
Walter Roberson on 14 Dec 2017
Use poly2sym() to construct a polynomial in a single variable with given coefficients.

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abid khan
abid khan on 16 Jun 2014
Hi,
I want to calculate the ztransform of x(n)=[1 2 3 4]in matlab plz reply if any know
Thanks
Abid
  1 Comment
Naveed Ahmed
Naveed Ahmed on 14 Dec 2017
You can look at the reply of Wayne King. The Z-transform of this sequence is the same

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Leonora Brati
Leonora Brati on 11 Jun 2021
Furious discrete time transformation of DTFT signal using as tool
DFT calculation, hence X (𝑒𝑗𝜔).
5.75*(1/3)^n*u(n)-10.18*(1/4)^n*u(n)-[(-1)^(n-3)-(-3)^(n-3)]*u(n-3)+(3/2)*(-3)^(n-5)*u(n-5) z transform
  1 Comment
Walter Roberson
Walter Roberson on 12 Jun 2021
Unfortunately, I do not understand what you are trying to convey here??

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shuma benti
shuma benti on 27 Jan 2022
are auto correlation are commutative

Sundeep Javvaji
Sundeep Javvaji on 13 Jul 2023
If y is your input sequence,
bode_y = 0;
for n = 1:length(y)
bode_y = bode_y + y(n)*tf([1],[1 zeros(1,n-1)],1);
end

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