Originally posted by ivconic
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Originally posted by green
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Originally posted by Olly
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For a back-of-the-napkin calculation, let's assume we have a 10V power system (+/-5V) and the preamp has a G=1000 and a feedback tau of 1us and uses a 1nV/rtHz opamp. Ignoring all resistor noise, the output noise of the opamp is 1nV*1000*sqrt(PI/2*1/(2*PI*1us)) = 500uV rms.
If we want to exactly match this to ADC quantization noise then the vq = 500uV so vlsb = 500uV*sqrt(12) = 1.732mV. For a 10V system 10V/2^N = 1.732mV so N = 12.5 bits. In this case a really clean 13b ADC will barely do the job. But in a PI system we can also do a lot of averaging to pound down the thermal noise and more precision in the ADC will help. A 16b ADC give 8x the precision which is good but an 18b ADC has 32x the precision and will give cleaner averaging results.
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