ListZTransform

ListZTransform[list,z]

gives the Z transform of list as a function of z.

ListZTransform[list,z,k]

places the first element of list at integer time k on the infinite time axis.

ListZTransform[list,{z1,z2,},{k1,k2,}]

gives the multidimensional Z transform.

Details

Examples

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Basic Examples  (2)

Z transform of a constant vector:

Plot the Z transform on the unit circle:

Two-dimensional Z transform:

Scope  (1)

Z transform of a symbolic sequence:

Specify an offset:

Properties & Relations  (3)

ListZTransform of a list of numbers is equal to the ZTransform of a sum of shifted unit samples:

Inverse of the ListZTransform:

ListZTransform evaluated on a unit circle gives the Fourier transform of the list:

Introduced in 2012
 (9.0)