iztrans - Inverse z-transform

Syntax

f = iztrans(F) f = iztrans(F,k) f = iztrans(F,w,k)

Description

f = iztrans(F) is the inverse z-transform of the scalar symbolic object F with default independent variable z. The default return is a function of n.

where R is a positive number chosen so that the function F(z) is analytic on and outside the circle |z| = R.

If F = F(n), iztrans returns a function of k.

f = f(k)

f = iztrans(F,k) makes f a function of k instead of the default n. Here k is a scalar symbolic object.

f = iztrans(F,w,k) takes F to be a function of w instead of the default symvar(F) and returns a function of k.

Examples

Inverse Z-Transform	MATLAB Operation
= n2ⁿ	syms z f = 2z/(z-2)^2; iztrans(f) returns ans = 2^n + 2^n(n - 1)
= –1^k	syms n g = n(n+1)/(n^2+2n+1); iztrans(g) returns ans = (-1)^k
= a^k if a ≠ 0	syms z a k f = z/(z-a); simplify(iztrans(f,k)) returns ans = piecewise([a <> 0, a^k])

Inverse Z-Transform

MATLAB Operation

= n2ⁿ

syms z
f = 2*z/(z-2)^2;
iztrans(f)

returns

ans =
2^n + 2^n*(n - 1)

= –1^k

syms n
g = n*(n+1)/(n^2+2*n+1);
iztrans(g)

returns

ans =
(-1)^k

= a^k if a ≠ 0

syms z a k
f = z/(z-a);
simplify(iztrans(f,k))

returns

ans =
piecewise([a <> 0, a^k])

iztrans - Inverse z-transform

Syntax

Description

Examples

See Also

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