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Will a DC offset cancellation circuit influence the differential signal?

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For the DC analysis, if Vcm-n and Vcm-p of the amplifier is different, the cancellation circuit will adjust them to equal by detecting the difference between Out-n and Out-p.
But for a differential signal, it also leads to a difference at the output, won't the feedback also change the input?
It makes me confused a lot, may be the original question is DC&AC analysis I think, could anybody help me with this question? Thanks very much.
 

DC offset inputs do not affect gain.

If you apply DC offset to a differential amp, the main factor is the equivalent resistance in feedback ratio or input attenuator ratio is constant.

If the offset only introduces a DC signal from a relatively constant impedance source to null the offset ( in a feedback loop), then the gain is constant.
 

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