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finite gain transfer function of integrator

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simon0123

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HI

I am designing a second order low pass delta sigma modulator. I want to calculate the real (finite gain) transfer function of the integrators which are noninverting and delaying. I have searched on the internet and found the transfer function is 1/[1-(1-1/A)z^-1]. However, I can't derive it. I want to know how the expression is derived. Please help me. Thanks
 

you can refere to "Modeling Sigma-Delta Modulator Non-Idealities in SIMULINK" by S. Brigati, F. Francesconi
 

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