Equation 5 · Part 3 · How Edge AI Electronics and Sensor Systems Actually Work

Symbol t_active

E_{\text{inference}} = P_{\text{active}} \cdot t_{\text{active}}

t_{\text{active}}

What this part means

fixed by the model architecture alone.

Its job in the formula

$t_a$ ctive is one factor in the product that computes the quantity on the left.

Full expressionSymbol t_activeArticle meaning

Where the article explains it

” Neither $P_{\text{active}}$ nor $t_{\text{active}}$ is fixed by the model architecture alone; both depend on the accelerator the model runs on.

The passage around this formula

Once a signal has been conditioned, digitized and gated by an appropriate wake mechanism, the question becomes what a microcontroller-class processor can actually afford to compute with the power that remains. A useful way to make this concrete rather than hand-wavy is a simple energy identity: the energy an inference actually costs is $E_{\text{inference}} = P_{\text{active}} \cdot t_{\text{active}}$ . and the sustainable average power of an always-on system operating at duty cycle d (the fraction of time spent active rather than in a low-power sleep state) is

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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.

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Sources cited in the article section

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