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about rail to rail constant gm op-amp

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xz781122

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i am doing some research about rail to rail constant gm op-amp.But i don't know what is the "constant gm" meaning.Is "constant gm" input stage'gm constant or the whole amp's gm constant?i have read some books.They offer a equation such as sqrt(Ia)+sqrt(Ib)=const.But I don't know why?who can do me a favour.
 

it means when the common mode voltage change, the gm is constant.
For the mosfet,gm=KI**0.5, if keep Kn=Kp, then sqrt(Ia)+sqrt(Ib)=const
 

This question arise from rail to rail input, commonly implemented using two diferential pairs. If ur bias point not choosen properly, there exists a situition that two pairs both operate, results a doubled gm.

search IEEE JSSC for rail to rail input opamp for suggestions.
 

Many books existed for rail-to-rail opamp design such as "Low voltage CMOS Operational Amplifiers----Theory , Design and Implementation" ----by Satoshi Sakurai and M.Ismail
 

Be carefull with constant Gm Rail to Rail inputs cause input referred offset voltage and input referred errr in general will change dependant on common mode voltage
 

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