z-transform.
Syntax
F = ztrans(f)
F = ztrans(f,w)
F = ztrans(f,k,w)
Description
F = ztrans(f) is the z-transform of the scalar symbol f with default independent variable n. The default return is a function of z.
The z-transform of f is defined as:
where n is f's symbolic variable as determined by findsym. If
f = f(z), then ztrans(f) returns a function of w.
F = ztrans(f,w) makes F a function of the symbol w instead of the default z.
F = ztrans(f,k,w) takes f to be a function of the symbolic variable k.
Examples
Z-Transform |
MATLAB Operation |
|
f = n^4
ztrans(f)
returns
z*(z^3+11*z^2+11*z+1)/(z-1)^5
|
|
g = a^z
ztrans(g)
returns
-w/(-w+a)
|
|
f = sin(a*n)
ztrans(f,w)
returns
sin(a)*w/(1-w*cos(a)+w^2)
|
|
f = exp(k*n^2)*cos(k*n)
ztrans(f,k,x)
returns
x*(-exp(-n*2)*cos(n)+x)/
(-2*x*exp(-n^2)*cos(n) + x^2+
exp(-2*n^2))
|
See Also
fourier, iztrans, laplace
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