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Digital Signal Processing

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Digital Signal Processing Electrical Engineering Department Iran University of Science & Tech. Digital Signal Processing Topic 4: The Z TRansform 1. – PowerPoint PPT presentation

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Title: Digital Signal Processing


1
Digital Signal Processing
  • Electrical Engineering Department
  • Iran University of Science Tech.

2
Digital Signal ProcessingTopic 4 The Z TRansform
  • 1. The Z Transform
  • 2. Inverse Z Transform

3
1. The Z Transform
4
Region of Convergence (ROC)
5
ROC Example
6
About ROCs
7
Another ROC example
8
ROC is necessary!
9
Rational Z-transforms
10
Factored rational ZTs
11
Pole-zero diagram
12
Z-plane surface
13
Z-plane and DTFT
14
ZT is Linear
15
ZT of LCCDEs
16
ROCs and sidedness
17
ROC intersections
18
ROC intersections Case 1
19
ROC intersections Case 2
20
ROC intersections Case 3
21
ROC intersections Case 4
22
ROC intersections
23
Some common Z transforms
24
Z Transform properties
25
Z Transform properties
26
ZT Example
27
Another ZT example
28
2. Inverse Z Transform (IZT)
29
IZT 1 Generalize IDTFT
30
IZT 2 Long division
31
IZT 2 Long division
32
IZT 2 Long division
33
IZT3 Partial Fractions
34
Partial Fractions
35
Partial Fractions
36
Partial Fractions Example
37
Partial Fractions Example
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