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Published equation contexts

Pˉ=∑ifi Pi\bar{P} = \sum_{i} f_i \, P_i

Why this formula appears here

The third reason is that measurement itself has a cost and a failure mode. A current-sense shunt clamped around the supply rail is the standard way to verify what a design is actually drawing, as opposed to what its datasheet implies, and the discipline of doing this at multiple points in the duty cycle — sleep, wake-trigger evaluation, full inference, radio transmission — is what turns a power budget from arithmetic into an engineering artifact someone can defend. A budget built only from datasheet typical-current figures, without a bench measurement at each state, is analysis built on unverified vendor numbers stacked several layers deep; a single shunt measurement campaign, even a short…

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ii

Symbol i

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

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fif_i

Symbol f_i

the fraction of time the device spends in power state i (sleep, always-on monitoring, escalated inference, radio).

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ii

Starting index or lower bound: i

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

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Published contexts (1)

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Pˉ=∑ifi Pi\bar{P} = \sum_{i} f_i \, P_i

Equation 1 · Edge AI & Electronics

Edge AI Electronics and Sensor Systems in Practice: An Advanced Technical Guide

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The third reason is that measurement itself has a cost and a failure mode. A current-sense shunt clamped around the supply rail is the standard way to verify what a design is actually drawing, as opposed to what its datasheet implies, and the discipline of doing this at multiple points in the duty cycle — sleep, wake-trigger evaluation, full inference, radio transmission — is what turns a power budget from arithmetic into an engineering artifact someone can defend. A budget built only from datasheet typical-current figures, without a bench measurement at each state, is analysis built on unverified vendor numbers stacked several layers deep; a single shunt measurement campaign, even a short…

Meanings in this article

  • fif_i: the fraction of time the device spends in power state i (sleep, always-on monitoring, escalated inference, radio).
  • PiP_i: the measured — not datasheet-typical — power draw in that state.
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