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Z-Transform

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... The initial value theorem. Examples: 3.1.1 ... into different domain like Laplace and ... of some important signals Z-domain convolution ... – PowerPoint PPT presentation

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Title: Z-Transform


1
Z-Transform
  • Chapter 3 (Part 1)

2
  • Articles
  • 3.1 3.1.1
  • 3.2 Derivations are not included. The following
    topics are excluded
  • Correlation of sequences, Multiplication of two
    sequences, The initial value theorem.
  • Examples 3.1.1, 3.1.2, 3.1.3, 3.1.4, 3.1.5,
    3.2.1, 3.2.3, 3.2.4, 3.2.5, 3.2.6, 3.2.7, 3.2.9
  • Problems 3.1, 3.3, 3.4 (d,e,f), 3.7

3
What is Z-Transform
  • Another technique of transforming a signal into
    different domain like Laplace and Fourier
    transformation.
  • It is used extensively for the analysis of LTI
    discrete systems.
  • Makes some operations easier to implement
    compared to time domain operations.
  • One of its very important features is the poles
    and zeros analysis for studying the response of
    different discrete signals in LTI systems.

4
The direct Z-transform
5
How to find ROC
6
How to find ROC contd.
7
How to find ROC contd.
8
Types of ROC
9
Properties of z-transform
10
Properties of z-transform contd.
11
Properties of z-transform contd.
12
z-transforms of some important signals
13
Z-domain convolution
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