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Equation 1 · Part 8 · Comparing the Main Approaches to Edge AI Electronics and Sensor Systems

subscript

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

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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