Equation 6 · Edge AI Electronics and Sensor Systems in Practice: Quantization, Power Budgets, and Sensor Front Ends
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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 inferences each cost a measured .
Symbol P_sleep
leep is one of the signed contributions combined to compute the quantity on the left.
Symbol t_sleep
leep is one of the signed contributions combined to compute the quantity on the left.
Symbol P_active
ctive is one of the signed contributions combined to compute the quantity on the left.
Symbol t_active
ctive is one of the signed contributions combined to compute the quantity on the left.
Symbol n_inf
nf is one of the signed contributions combined to compute the quantity on the left.
Symbol E_inf
nf is one of the signed contributions combined to compute the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
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The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
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: . where 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 inferences each cost a measured…
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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: . where 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 inferences each cost a measured . Every term in that expression should be a number taken off a current probe at the actual rail, not a value copied from a component’s datasheet, because sleep current in particular is notorious for being dominated not by the processor but by whichever peripheral, pull-up, or leakage path the design forgot to disable.
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