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q/12q / \sqrt{12}

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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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q/12q / \sqrt{12}

Equation 4 · Edge AI & Electronics

How Edge AI Electronics and Sensor Systems Actually Work

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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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