DanielLam
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First, I'll say I've monte-carlo'ed and sweep power + temperature on a 2 stage opamp with poly SI, and triode FETs as the nulling FET. If memory serves, the nulling FET was always better in schematic (you can mess up in layout). Matching a gm to a R should be worse than matching a gm to a gm.
Second, the remaining non-idealities are short channel effects.
Third, I think this statement is wrong
" But normally the Vgs of the input transistor in the second stage is not a copy voltage from the current mirror, and it is difficult to generate a same Vgs for the triode-region transistor,"
There are well-published ways to have those two transistors have the same Vgs. Razavi or Johns and Martin have a circuit you can directly use to do this.
I'm not replying anymore until you take a look at the textbook.
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