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Linearity of differential pair

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Alpacca

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Hello there,

Currently I am designing OTA with many linearization techniques, but it occured to me that I have no clue why differential pair is not linear. Characteristic looks almost like straight line, plus with current mirror load it gives the same current to the output, despite input voltage. Do we want the same amount of current in both branches?
Can anyone explain this to me?

Thanks in advance!
 

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