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Equation 4 · How Edge AI Electronics and Sensor Systems Actually Work

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q/12q / \sqrt{12}

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qq

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and, treating quantization error as uniformly distributed over one step, the resulting quantization noise power has a root-mean-square value of q / 12\sqrt{12} . This is the textbook derivation behind every “effective number of bits” figure a converter data sheet reports, and it is the reason oversampling helps: spreading the same quantization noise power across a wider sampled bandwidth before filtering it back down effectively lowers the in-band noise floor without changing the converter’s physical resolution. This is analysis grounded in a standard result, not a claim from either vendor’s marketing copy — both data sheets report measured effective noise in microvolts or nanovolts RMS…
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and, treating quantization error as uniformly distributed over one step, the resulting quantization noise power has a root-mean-square value of q / 12\sqrt{12} . This is the textbook derivation behind every “effective number of bits” figure a converter data sheet reports, and it is the reason oversampling helps: spreading the same quantization noise power across a wider sampled bandwidth before filtering it back down effectively lowers the in-band noise floor without changing the converter’s physical resolution. This is analysis grounded in a standard result, not a claim from either vendor’s marketing copy — both data sheets report measured effective noise in microvolts or nanovolts RMS directly, and those measured numbers are what a systems designer should budget against, not the nominal bit count printed on the package.

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