December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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6.5 z-TRANSFORM OF LEFT-SIDED EXPONENTIAL SEQUENCES
The right-sided exponential sequence can be determined mathematically as
This sequence exists for negative values of n.
Fig. 6.3 shows the plot of this sequence.
Fig6.3 Plot of x(n)
The z-transform of x(n) is given by
Here x(n) = an for n ≤ 0 and hence the above equation becomes
where m = −n.
Expanding the above equation we can write
X(z) will converge for | a−1
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