December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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6.11 z-TRANSFORM OF THE SIGNAL x(n) = nan u(n)
Let us take x1(n) = anu(n)
The z-transform of x1(n) = anu(n) is given by
The given function is
x(n) = nanu(n) = nx1(n) because x1(n) = anu(n).
∴ X[z] = Z[nx1(n)]
By differentiation property of z-transform, we can write
Therefore, the z-transform of x(n) = n anu(n) is 
having ROC: | z | > | a |.
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