transform - MATLAB ztrans MathWorks Deutschland (2024)

Syntax Description Examples Z-Transform of Symbolic Expression Specify Independent Variable and Transformation Variable Z-Transforms Involving Heaviside Function and Binomial Coefficient Z-Transform of Array Inputs Z-Transform of Symbolic Function If Z-Transform Cannot Be Found Input Arguments f — Input symbolic expression | symbolic function | symbolic vector | symbolic matrix var — Independent variable n (default) | symbolic variable transVar — Transformation variable z (default) | symbolic variable | symbolic expression | symbolic vector | symbolic matrix More About Z-Transform Tips Version History See Also Topics MATLAB-Befehl Americas Europe Asia Pacific

syms nf = sin(n);ztrans(f)

ans =(z*sin(1))/(z^2 - 2*cos(1)*z + 1)

syms m nf = exp(m+n);ztrans(f)

ans =(z*exp(m))/(z - exp(1))

syms yztrans(f,y)

ans =(y*exp(m))/(y - exp(1))

ztrans(f,m,y)

ans =(y*exp(n))/(y - exp(1))

syms n zztrans(heaviside(n-3),n,z)

ans =(1/(z - 1) + 1/2)/z^3

ztrans(nchoosek(n,2))

ans =z/(z - 1)^3

syms a b c d w x y zM = [exp(x) 1; sin(y) i*z];vars = [w x; y z];transVars = [a b; c d];ztrans(M,vars,transVars)

ans =[ (a*exp(x))/(a - 1), b/(b - 1)][ (c*sin(1))/(c^2 - 2*cos(1)*c + 1), (d*1i)/(d - 1)^2]

syms w x y z a b c dztrans(x,vars,transVars)

ans =[ (a*x)/(a - 1), b/(b - 1)^2][ (c*x)/(c - 1), (d*x)/(d - 1)]

syms f1(x) f2(x) a bf1(x) = exp(x);f2(x) = x;ztrans([f1 f2],x,[a b])

ans =[ a/(a - exp(1)), b/(b - 1)^2]

syms f(n)f(n) = 1/n;F = ztrans(f,n,z)

F =ztrans(1/n, n, z)

iztrans(F,z,n)

ans =1/n