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Equation 7 · Part 1 · How Edge AI Electronics and Sensor Systems Actually Work

Symbol P_avg

Pavg=d⋅Pactive+(1−d)⋅PsleepP_{\text{avg}} = d \cdot P_{\text{active}} + (1-d) \cdot P_{\text{sleep}}
PavgP_{\text{avg}}

What this part means

PaP_avg is part of the quantity the equation computes from the expression on the right.

Its job in the formula

PaP_avg is part of the quantity the equation computes from the expression on the right.

The passage around this formula

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 Pavg=d⋅Pactive+(1−d)⋅PsleepP_{\text{avg}} = d \cdot P_{\text{active}} + (1-d) \cdot P_{\text{sleep}}. This identity is trivial algebraically, but it is exactly the trade a systems designer is making when choosing between “a bigger, slower model that runs less often” and “a smaller, faster model that still meets the same detection latency.” Neither PactiveP_{\text{active}} nor tactivet_{\text{active}} is fixed by the model architecture alone; both depend on the accelerator the model runs on.

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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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