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Equation 3 · Part 6 · How Edge AI Electronics and Sensor Systems Actually Work

subscript

q=Vref2Nq = \frac{V_{ref}}{2^{N}}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

The quantization step itself has a clean expression once gain and reference voltage are fixed. For an ADC with N effective bits resolving a full-scale reference voltage VrefV_{ref} , the size of one quantization step is q=Vref2Nq = \frac{V_{ref}}{2^{N}}. 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…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.