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A question about RMS value of quantization error

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wangkes9

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when the input signal obey bennett rule ( Probability density function for the quantization error is constant) ,the RMS of quantization error is Vlsb/sqrt( 12).

When input signal is a sinewave ( Probability density function for the quantization error is not constant), I think the RMS of quantization error is not Vlsb/sqrt(12). , maybe Vlsb/sqrt( 8) if N of adc is only one.

Is that right? Thanks.
 

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