December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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6.4 z-TRANSFORM OF RIGHT-SIDED EXPONENTIAL SEQUENCES
The right-sided exponential sequence can be determined mathematically as
This sequence exists for positive values of n.
Fig. 6.1 shows the plot of this sequence.
Fig. 6.1 Plot of x(n) = anu(n)
The z-transform of x(n) is given by
Here x(n) = an for n ≥ 0 and hence the above equation becomes
Expanding the above equation we can write
X(z) will converge for | az−1 | ...
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