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Equation 1 · Part 5 · Comparing the Main Approaches to Edge AI Electronics and Sensor Systems

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Pˉ=D⋅Pactive+(1−D)⋅Pstandby\bar{P} = D \cdot P_{\mathrm{active}} + (1-D) \cdot P_{\mathrm{standby}}
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

An always-on system’s design target is not peak throughput but the average power drawn between the (usually rare) events that matter, which can be written as a simple duty-cycle model: Pˉ=D⋅Pactive+(1−D)⋅Pstandby\bar{P} = D \cdot P_{\mathrm{active}} + (1-D) \cdot P_{\mathrm{standby}}. where D is the fraction of time spent actively computing and PstandbyP_{\mathrm{standby}} is the power drawn the rest of the time. For a keyword detector or a vibration monitor, D is typically small and falling, so Pˉ\bar{P} is dominated by PstandbyP_{\mathrm{standby}} almost regardless of how fast the active phase runs — which is exactly why this category optimises the idle floor first and peak throughput second, the opposite priority from a dedicated accelerator sized for a known, recurring, higher-duty…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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