6.58.2 The inverse Z-transform of a rational function: invztrans
The inverse Z-transform of a rational expression is
a formula for the general term of a sequence with the given rational
expression as its Z-transform. The invztrans command finds
the inverse Z-transform of a rational expression.
-
invztrans command takes one mandatory and two
optional arguments:
-
rat, a rational expression.
- Optionally, x the variable (by default x).
- Optionally, n, a variable to be used by the result (by
default x).
- ztrans(rat ⟨ x,n⟩)
returns the inverse Z-transform of rat.
Examples.
-
Input:
invztrans(x/(x-1))
Output:
(since ztrans(1)=x/(x-1))
- Input:
invztrans(z/(z-1),z,n)
Output:
- Input:
invztrans(x/(x-1)^2)
Output:
- Input:
invztrans(z/(z-1)^2,z,n)
Output: