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about PGA gain and gain bandwidth product

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bynonsun

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I want to design a PGA using in front of the sigma-delta ADC. the ADC resolution is 20bit and works at 250kHz. the PGA's gain is 16.
how many should the gain and gain bandwidth product of OPA achieve?
I calculated it. The feedback factor is 0.059, error is 1/2^20, then the gain should be about 150dB and gain bandwidth product should be about 20MHz.
Should this design of the OPA follow it?

thanks!
 

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