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6.58.1  The Z-transform of a sequence: ztrans

The Z-transform of a sequence a0, a1, …, an, … is the function

f(z) = 
n=0
 
an
zn
.

For example, the Z-transform of the sequence

0, 1, 2, 3, …

is

f(z) = 0 + 1/z + 2/z2 + 3/z3 + …

which has closed form

f(z) = z/(z−1)2.

The ztrans command finds the Z-transform of a sequence.


Examples.


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