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Unilateral Z-Transform


A one-sided (singly infinite) Z-Transform,

 Z[{a_n}_(n=0)^infty](z)=sum_(n=0)^infty(a_n)/(z^n).

This is the most common variety of Z-transform since it is essentially equivalent to a generating function, and it what is usually meant by "the" Z-transform. The unilateral Z-transform Z[{a_n}_(n=0)^infty](z) is implemented in the Wolfram Language as ZTransform[a, n, z].


See also

Bilateral Z-Transform, Generating Function, Z-Transform

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Cite this as:

Weisstein, Eric W. "Unilateral Z-Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnilateralZ-Transform.html

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