transfer function of sc amplifier

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akbarza

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hi
i read a power point from Professor Y. Chiu -fall 2014-data converter -eect 7327-Switched-Capacitor Circuits.
in below figure, the author was written that the transfer function is: h(z)=c_1/c_2 * z^(-1)

i tried to obtain it but i get: h(z)=c_1/c_2 * z^(-1/2) in φ2 to φ1 transition.
explanation :φ2, φ1 are non-overlaping clocks as below:

please explain me how this transfer function was obtained.
thanks
 

1/2 sample period is no meaningful quantity in sampled data system. Output is only observed at integer multiples of sampling period. You'll see if you cascade two of the shown stages. What's the total time delay?
 
What you wrote is correct. It should be definitely Z^-1/2. I dont know why it is written like that in the book.
But I solved this problem before and It is Z^-1/2.
 

May be mathematically correct, but wrong in Z transform context.
 

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