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You could power the device with split supplies, then use a set of precision resistors to configure the opmp for a known, high gain. Then ground the input and measure the output. Divide by the gain and you should get a pretty good number for the input voltage offset. Make sure the resistors are small enough so that any current offset does not produce a significant effect.
50uV, which point do you refer to.
Why not filter power first or you can use a high performance power supply.
You can get rid of the noise in power supply. The problem is, what's your noise level of OA, whether it
exceed your offset, if yes, you should watch is it in high frequency or low frequency, if high, you can filter it when you amplify your offset, if it's in low frequency, it's hard to deal with.
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