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op gain requirement for sigma delta adc

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finerain22

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I'm disigning a classic socond order sigma-delta modulator(CIFB structure), wiht osr=128, fs=64K,ENOB=13bits. How to determine the op gain for the first integrators?

Should the dc error at the output of the first integrators should be smaller than 1/2 LSB?
Or we can other ristrictions to determine the gain spec on the first integrators?

Another problem following, how to determine the gain requirement on the second integrator?

Thanks!
 

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