help me about continuous deltal sigma modulator problem

[xanhphysics]

I 'm a final year student . I hope all of you can help me my problem when i simulate continuous delta sigma modulator.

question 1 : How i can model half delay block by Simulink ?
I try to model block ( z^-1/2) ( see figure attached ) but in Simulink library don't have block (z^-1/2) .
Do you know how to model or any other block can do ?

Question 2:
when i got new loop fileter transfer funtion (To make up a half clock cycle delay, the equivalent transfer function with halved sampling time is derived as

L1(z^1/2)=( -0.7567 z+0.456z^1/2+0.545)/(z^3/2+0.5678*z+0.345*z^1/2+1)
the CT loop filter transfer function L1(s) for NRZ type DAC can be calculated using Matlab as:
Actually i know how to convert L(z) into L(s) for NZR type ADC but dont know how to convert L(z^1/2) to L(s) for NZR type ADC by Matlab. Can anyone guide me?

I look forward to hearing anyone can help me . I very nervous coz my project prepare for deadline.
Thanks all

 

[xanhphysics]

upz

 

[xanhphysics]

any one can help me urgent need

 

[jiangxb]

hi xanhphysics,

for the first question my suggestion is that using z^-1 block with half of sampling frequency.

 

[xanhphysics]

thank jiangxb ,anyone can help me I hope you can give me some sugesstions

 

[yangyang10182]

hi xanhphysics,

for the first question my suggestion is that using z^-1 block with half of sampling frequency.

Is that half of sampling time or half of sampling frequency? I think it should be half of sampling time, right?