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1.6v vdd+0.5v cmr --> i suggest the two stage ota is appropriate one ,
if you also need high gain , choose folded cascode as first stage,
and hybrid cascode compensation
but, quiscient curret consumes 1mA should not be achived easily,
i have designed a fully diff. ota with 2pF,15ns settling ota before (first stage is folded cascode),
it consume more than 2mA