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Name : Awon Muhammad Roll No. : 09-Bsc-Engg-17
Experiment No : 10
Z-Transform
Equipment Required:
Personal computer(PC) with windows operating system and MATLAB
software .
Question No. 01:
Compute inverse z-transform of X(z)=
Question No. 02 :
Determine the z-transform of the following sequence. Indicate the region of
convergence for each sequence and verify the z-transform expression using
MATLAB.
Part (a):
X(n)= u(n-2)
ROC & Z-Transform Expression :
Part (b) :
X(n) = [ + (- ]u(n)
ROC & Z-Transform Expressions :
Question No. 03 :
Given a causal system . Determine H(z) and sketch its pole-zero plot,
y(n) = 0.9y(n-1) + x(n)
Pole-Zero Plot :
CONCLUSION :
It is concluded that in this lab experiment, i have learned about the Z-
Transform that converts a discrete time signal, which is a sequence of real or
complex numbers , into a complex frequency domain representation. The Z-
transform can be defined as either a one-sided or two-sided transform. The region
of convergence (ROC) is the set of points in complex plane for which the Z-
transform summation converges. The Z-Transform exists for many signals that do
not have a discrete-time Fourier transform. We have Performed Pole-zero plot For
different Sequence and Verify Z-Transform Expression Using MATLAB.

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09 bsc-17 dsp lab 10-1

  • 1. N Name : Awon Muhammad Roll No. : 09-Bsc-Engg-17 Experiment No : 10 Z-Transform Equipment Required: Personal computer(PC) with windows operating system and MATLAB software . Question No. 01: Compute inverse z-transform of X(z)=
  • 2. Question No. 02 : Determine the z-transform of the following sequence. Indicate the region of convergence for each sequence and verify the z-transform expression using MATLAB. Part (a): X(n)= u(n-2) ROC & Z-Transform Expression :
  • 3. Part (b) : X(n) = [ + (- ]u(n) ROC & Z-Transform Expressions :
  • 4. Question No. 03 : Given a causal system . Determine H(z) and sketch its pole-zero plot, y(n) = 0.9y(n-1) + x(n)
  • 6. CONCLUSION : It is concluded that in this lab experiment, i have learned about the Z- Transform that converts a discrete time signal, which is a sequence of real or complex numbers , into a complex frequency domain representation. The Z- transform can be defined as either a one-sided or two-sided transform. The region of convergence (ROC) is the set of points in complex plane for which the Z- transform summation converges. The Z-Transform exists for many signals that do not have a discrete-time Fourier transform. We have Performed Pole-zero plot For different Sequence and Verify Z-Transform Expression Using MATLAB.