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Title:: Z-Transform in MATLAB

This document discusses using MATLAB to perform various tasks related to z-transforms including direct and inverse z-transforms, pole-zero plots, and convolution. It provides examples of z-transforms, inverse z-transforms, and pole-zero plots that can be done in MATLAB along with convolving the sequences u[n] and (0.5)n*u[n] from n=0 to 6. The objective is to demonstrate common z-transform operations and analysis using MATLAB.

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Usama Bin Saeed
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225 views8 pages

Title:: Z-Transform in MATLAB

This document discusses using MATLAB to perform various tasks related to z-transforms including direct and inverse z-transforms, pole-zero plots, and convolution. It provides examples of z-transforms, inverse z-transforms, and pole-zero plots that can be done in MATLAB along with convolving the sequences u[n] and (0.5)n*u[n] from n=0 to 6. The objective is to demonstrate common z-transform operations and analysis using MATLAB.

Uploaded by

Usama Bin Saeed
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Title:

Z-Transform In MATLAB

Objective:

 Z-Transform
 Inverse Z-Transform
 Pole / Zero plots
 Pratial Fraction
 Region of Convergence
 Z-Transform convolution theorm

Software/Tool:

MATLAB Software

Tasks:

convolve the following:

u[n] ; (0.5)n u[n] n=0:6


Z-Transform:


an :


n3:


-an:
 cos (wn):

 sin (wn):
 an cos (wn):

 an sin (wn):

Inverse Z-Ttansform:

 (z^2+2*z) / (z^2+0.2)
 (z^2+2*z) / (z^2+0.2)

Pole / Zero Plot:

 1 / ( (1-0.9*z^-1)^2*(1+0.9*z^-1) )
 (z^3+1) / (z^3-z^2-z-2)
 1 / ( (z-0.5)*(z-0.5) )
Conclusion/Result:

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