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Equation 6 · Part 4 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

Symbol P_idle

Pavg  =  D⋅Pactive  +  (1−D)⋅PidleP_{\text{avg}} \;=\; D \cdot P_{\text{active}} \;+\; (1-D)\cdot P_{\text{idle}}
PidleP_{\text{idle}}

What this part means

PiP_idle is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

PiP_idle is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…draws follows directly from how much time it spends in each state: Pavg  =  D⋅Pactive  +  (1−D)⋅PidleP_{\text{avg}} \;=\; D \cdot P_{\text{active}} \;+\; (1-D)\cdot P_{\text{idle}}. where D is the fraction of time spent active. Because PactiveP_{\text{active}} is typically one to three orders of magnitude larger than PidleP_{\text{idle}} for a real accelerator, battery life is dominated almost entirely by D and by PidleP_{\text{idle}} — not by how efficient the processor is once it wakes up. This is precisely why an always-on product design effort spends so much of its attention on cheap, low-power triggering stages (a…

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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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