December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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6.3 PROPERTIES OF z-TRANSFORM
We have already introduced the z-transform. Let us now introduce the properties of z-transform.
6.3.1 Linearity
This property states that if 
then
where a1 and a2 are constants.
Proof:
Let x(n) = a1x1(n) + a2x2(n)
The z-transform of x(n) is given by
Since the superposition principle is applicable to z-transform, it is linear and the ROC of X(z) is the overlap or intersection of the individual regions ...
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