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Full width at half maximum
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{{Short description|Concept in statistics and wave theory}} [[Image:FWHM.svg|thumb|250px|right|Full width at half maximum]] In a distribution, '''full width at half maximum''' ('''FWHM''') is the difference between the two values of the [[independent variable]] at which the dependent variable is equal to half of its maximum value. In other words, it is the width of a spectrum curve measured between those points on the ''y''-axis which are half the maximum amplitude. '''Half width at half maximum''' ('''HWHM''') is half of the FWHM if the function is symmetric. The term '''full duration at half maximum''' (FDHM) is preferred when the independent variable is [[time]]. FWHM is applied to such phenomena as the duration of [[pulse (signal processing)|pulse]] waveforms and the [[spectral width]] of sources used for [[optical communication]]s and the resolution of [[spectrometer]]s. The convention of "width" meaning "half maximum" is also widely used in [[signal processing]] to define [[bandwidth (signal processing)|bandwidth]] as "width of frequency range where less than half the signal's power is attenuated", i.e., the power is at least half the maximum. In signal processing terms, this is at most β3 [[decibel|dB]] of attenuation, called ''half-power point'' or, more specifically, ''[[half-power bandwidth]]''. When half-power point is applied to antenna [[beam width]], it is called ''[[half-power beam width]]''.
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