December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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ADDITIONAL SOLVED EXAMPLES
Example 6.12 Find the z-transform and its ROC of the following sequence:
Solution
The z-transform X(z) of x(n) is given by
Therefore, X(z) will be finite if and only if z is not equal to 0 or ∞. Its ROC is given by 0 < |z| < ∞.
Example 6.13 Find the z-transform of the following sequences:
- x(n) = nαn − 1u(n)
- x(n) = u(n) − u(n − 4)
- x(n) = n[u(n) − u(n − 4)]
Solution
- We know that
Differentiating both sides ...
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