← All parts of this equation

Equation 6 · Part 3 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

Symbol P_active

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

What this part means

the because.

Its job in the formula

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

Where the article explains it

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.

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 precisely why an always-on product design…

Read this part in the article →

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 →

See this notation across published equations →

Sources cited in the article section

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