How to model a non integer delay for a discrete system in Matlab?

I am not able to model a half a period delay neither in Matlab.

I want to model the following delay in the discrete domain:

, so a one and a half period delay.

The matlab function for transfer functions tf() allows only integer powers of z. Is there a way to set a non integer time delay?

Thank you in advance.

Answer 1

[Claudio Di Pietro]

I found the documentation for this. For anyone who might need it: https://it.mathworks.com/help/dsp/ref/variablefractionaldelay.html