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Equation 6 · Part 2 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

Symbol D

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

What this part means

the fraction of time spent active.

Its job in the formula

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

Where the article explains it

where D is the fraction of time spent active.

The passage around this formula

The average power such a system 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…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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