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Pipeline ADC residue amplifer

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newhand

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Hi guys,

I'm new to pipeline ADC.
Now I'm confused about the residue amplifier.
Based on the system function block,the Vout vs Vin for every stage,
should be:Vout=2^B*(Vin-VDAC),
(B is the number of bit of every stage,VDAC is the voltage from B+1 bit DAC).

But in the realization of the residue amplifier using SC circuit,
we often get:
Vout=Vin+Cs/Cf*(Vin-Vout),
(Cs is the sampling cap,Cf is the feedback cap).

Is there something wrong with the circuit,why there is still a term "Vin"?Shouldn't it be removed?
 

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