ELEC442-6601 Z-Transform

# ELEC442-6601 Z-Transform - of the system. If the ROC of...

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The z-Transform Dr. Yousef R. Shayan Department of Electrical and Computer Engineering Concordia University 1

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The z-Transform 2
3 Example : Example :

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4 Example:
5 Example :

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6 10.2 The Region of Convergence (ROC)
7

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8 Example :
9 The Inverse z-Transform

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10 Example:
11 Example: Example:

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12 Example : From power series expansion of We could use:
13 Tables See Table 3.2 for Z-Transform Properties. See Table 3.1 for common Z-Transform pairs.

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14 For an LTI system: where , and are z-transforms of input, output and impulse response

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Unformatted text preview: of the system. If the ROC of includes the unit circle, then for , is the frequency response of the LTI system. is called system function or transfer function. ) ( z X ) ( z Y ) ( z H ) ( z H = j e z ) ( z H ) ( z H LTI Systems 15 Causality 16 Example Example 17 Causal and Stable Causal and unstable Stability Example 18 The system is causal and stable Example 19...
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## This document was uploaded on 09/22/2011.

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ELEC442-6601 Z-Transform - of the system. If the ROC of...

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