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 Study_ZCY 2016-01-31

The full width at half maximum (FWHM) is a parameter commonly used to describe the width of a "bump" on a curve or function. It is given by the distance between points on the curve at which the function reaches half its maximum value. The following table gives the analytic and numerical full widths for several common curves.

function formula FWHM
Bartlett 1-(|x|)/a a
Blackman 0.810957a
Connes (1-(x^2)/(a^2)) sqrt(4-2sqrt(2))a
cosine cos((pix)/(2a)) 4/3a
Gaussian e^(-x^2/(2sigma^2)) 2sqrt(2ln2)sigma
Hamming 1.05543a
Hanning a
Lorentzian (1/2Gamma)/(x^2+(1/2Gamma)^2) Gamma
Welch 1-(x^2)/(a^2) sqrt(2)a

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