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Form factor (electronics) : ウィキペディア英語版
Form factor (electronics)

In electronics, the form factor of an alternating current waveform (signal) is the ratio of the RMS (Root Mean Square) value to the average value (mathematical mean of absolute values of all points on the waveform). It identifies the ratio of the direct current of equal power relative to the given alternating current. The former can also be defined as the direct current that will produce equivalent heat.
== Calculating the form factor ==
For an ideal, continuous wave function over time T, the RMS can be calculated in integral form:

X_\mathrm = \sqrt ^2\, dt}}

The rectified average is then the mean of the integral of the function's absolute value:〔

X_\mathrm = ^ }

The quotient of these two values is the form factor, k_\mathrm, or in unambiguous situations, k.

k_\mathrm = \frac \mathrm \mathrm = \frac ^2\, dt}}} }} = \frac} }

X_\mathrm reflects the variation in the function's distance from the average, and is disproportionately impacted by large deviations from the unrectified average value.〔(【引用サイトリンク】url=http://www.eumetcal.org/resources/ukmeteocal/verification/www/english/msg/ver_cont_var/uos3/uos3_ko1.htm )
It will always be at least as large as X_\mathrm, which only measures the absolute distance from said average. The form factor thus cannot be smaller than 1 (a square wave where all momentary values are equally far above or below the average value; see below), and has no theoretical upper limit for functions with sufficient deviation.
\mathrm_\mathrm = \sqrt = \frac}} = \frac_n}_n}.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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