Campus Livre
iztrans
Inverse Z-transform.
Category: Mathematics > Calculus
Syntax
f = iztrans(F, z, n)Returns the sequence f(n) whose Z-transform is F(z).
Description
The Z-transform plays for sequences the role that the Laplace transform plays for functions. The inverse of z/(z-2) is the geometric sequence 2^n, and that of z/(z-1)^2 is n. It is used to find the time response of discrete filters from their transfer functions.
Input arguments
F- Symbolic expression in
z. z- Transform variable.
n- Index variable of the result.
Output arguments
f- Symbolic expression in
n.
Example
Geometric and ramp sequences
syms z n
iztrans(z/(z - 2), z, n)
iztrans(z/(z - 1)^2, z, n)Output
ans = 2^n
ans = n