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  1. #1
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    transfer function of sc amplifier

    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)
    Click image for larger version. 

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    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:
    Click image for larger version. 

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    please explain me how this transfer function was obtained.
    thanks

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  2. #2
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    Re: transfer function of sc amplifier

    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?


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  3. #3
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    Re: transfer function of sc amplifier

    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.



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  4. #4
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    Re: transfer function of sc amplifier

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



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    Re: transfer function of sc amplifier

    Quote Originally Posted by FvM View Post
    May be mathematically correct,
    but wrong in Z transform context.
    Correct even as Z-transformation.


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