Digital Signal Processing

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Digital Signal Processing

• Electrical Engineering Department
• Iran University of Science Tech.

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Digital Signal ProcessingTopic 4 The Z TRansform

• 1. The Z Transform
• 2. Inverse Z Transform

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1. The Z Transform
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Region of Convergence (ROC)
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ROC Example
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About ROCs
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Another ROC example
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ROC is necessary!
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Rational Z-transforms
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Factored rational ZTs
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Pole-zero diagram
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Z-plane surface
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Z-plane and DTFT
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ZT is Linear
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ZT of LCCDEs
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ROCs and sidedness
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ROC intersections
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ROC intersections Case 1
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ROC intersections Case 2
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ROC intersections Case 3
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ROC intersections Case 4
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ROC intersections
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Some common Z transforms
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Z Transform properties
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Z Transform properties
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ZT Example
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Another ZT example
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2. Inverse Z Transform (IZT)
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IZT 1 Generalize IDTFT
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IZT 2 Long division
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IZT 2 Long division
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IZT 2 Long division
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IZT3 Partial Fractions
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Partial Fractions
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Partial Fractions
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Partial Fractions Example
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Partial Fractions Example