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Published equation contexts

Ecycle=Psleep tsleep+Pactive tactive+ninf EinfE_{\mathrm{cycle}} = P_{\mathrm{sleep}} \, t_{\mathrm{sleep}} + P_{\mathrm{active}} \, t_{\mathrm{active}} + n_{\mathrm{inf}} \, E_{\mathrm{inf}}

Why this formula appears here

A power budget derived only from a datasheet’s typical operating current is a guess, and it is usually an optimistic one, because the datasheet number rarely includes the device’s actual duty cycle, its radio’s transmit spikes, or the current the sensor’s analog front end draws while settling before a reading is valid. The more defensible starting point is a duty-cycle energy model built from measured, not assumed, currents at each state: Ecycle=Psleep tsleep+Pactive tactive+ninf EinfE_{\mathrm{cycle}} = P_{\mathrm{sleep}} \, t_{\mathrm{sleep}} + P_{\mathrm{active}} \, t_{\mathrm{active}} + n_{\mathrm{inf}} \, E_{\mathrm{inf}}. where EcycleE_{\mathrm{cycle}} is the energy spent in one full wake-sense-infer-sleep cycle, the first two terms are housekeeping power integrated over the time spent in each state, and ninfn_{\mathrm{inf}} inferences each cost a measured…

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EcycleE_{\mathrm{cycle}}

Symbol E_cycle

the energy spent in one full wake-sense-infer-sleep cycle, the first two terms are housekeeping power integrated over the time spent in each state, and ninfn_{\mathrm{inf}} inferences each cost a measured EinfE_{\mathrm{inf}}.

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PsleepP_{\mathrm{sleep}}

Symbol P_sleep

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

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tsleept_{\mathrm{sleep}}

Symbol t_sleep

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

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PactiveP_{\mathrm{active}}

Symbol P_active

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

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tactivet_{\mathrm{active}}

Symbol t_active

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

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ninfn_{\mathrm{inf}}

Symbol n_inf

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

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EinfE_{\mathrm{inf}}

Symbol E_inf

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

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How to interpret it

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Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

Ecycle=Psleep tsleep+Pactive tactive+ninf Einf,E_{\mathrm{cycle}} = P_{\mathrm{sleep}} \, t_{\mathrm{sleep}} + P_{\mathrm{active}} \, t_{\mathrm{active}} + n_{\mathrm{inf}} \, E_{\mathrm{inf}},

Equation 6 · Edge AI & Electronics

Edge AI Electronics and Sensor Systems in Practice: Quantization, Power Budgets, and Sensor Front Ends

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

A power budget derived only from a datasheet’s typical operating current is a guess, and it is usually an optimistic one, because the datasheet number rarely includes the device’s actual duty cycle, its radio’s transmit spikes, or the current the sensor’s analog front end draws while settling before a reading is valid. The more defensible starting point is a duty-cycle energy model built from measured, not assumed, currents at each state: Ecycle=Psleep tsleep+Pactive tactive+ninf EinfE_{\mathrm{cycle}} = P_{\mathrm{sleep}} \, t_{\mathrm{sleep}} + P_{\mathrm{active}} \, t_{\mathrm{active}} + n_{\mathrm{inf}} \, E_{\mathrm{inf}}. where EcycleE_{\mathrm{cycle}} is the energy spent in one full wake-sense-infer-sleep cycle, the first two terms are housekeeping power integrated over the time spent in each state, and ninfn_{\mathrm{inf}} inferences each cost a measured…

Meanings in this article

  • EcycleE_{\mathrm{cycle}}: the energy spent in one full wake-sense-infer-sleep cycle, the first two terms are housekeeping power integrated over the time spent in each state, and ninfn_{\mathrm{inf}} inferences each cost a measured EinfE_{\mathrm{inf}}.
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