gives the Z transform of expr.
gives the multidimensional Z transform of expr.
Details and Options
- The Z transform for a discrete function is given by .
- The multidimensional Z transform is given by .
- The following options can be given:
Assumptions $Assumptions assumptions to make about parameters GenerateConditions False whether to generate answers that involve conditions on parameters Method Automatic method to use VerifyConvergence True whether to verify convergence
- In TraditionalForm, ZTransform is output using .
Examplesopen allclose all
Basic Examples (3)
Basic Uses (7)
Plot the spectrum in the complex plane using ParametricPlot3D:
ZTransform will use several properties including linearity:
ZTransform automatically threads over lists:
Special Sequences (13)
The DiscreteRatio is rational for all hypergeometric term sequences:
Special Operators (5)
There are several relations to the InverseZTransform:
Use Assumptions to obtain the expression on a given range:
Properties & Relations (6)
Use InverseZTransform to get the sequence from its transform:
ZTransform effectively computes an infinite sum: