Finding the z transform

Hello.I want to solve the problem of extracting the z-transform for f(t)= sin ωt u(t), but I don't get an answer.Please help me.

Answer 1

[Chunru]

syms n omega f(n)
f(n) = sin(omega*n)

f(n) = 

ztrans(f(n))

ans = 

[Star Strider]

It apparently has to be in the form of . I could not get there when I tried it.

Also, the trigonometric argument has to be .

[Chunru]

If you want to include sampling time T (which is assumed to be 1 by default), you can add it into the function.

If you want to be in the form of z^-1, you just need to devide z^2 from both numerator and denominator.

syms n omega f(n) T
f(n) = sin(omega*T*n)

f(n) = 

ztrans(f(n))

ans = 

[Aysel Alimirzayeva]

@Chunru I have a question. I will be happy if you answer.In the example, we need to find the z transform of the function f(t)=sinwt u(t). Why didn't we take u(t) into account when we wrote the code?

[Chunru]

If you "doc ztrans", you will find that matlab performs z-transform for n=0, 1, ... by its definition

[Aysel Alimirzayeva]

@Chunru Thank you very much