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Line 6: for some [[real number\|real]] constants ''a'' > 0, ''b'', and ''c''. The ''a'' is the height of the Gaussian peak, ''b'' is the position of the center of the peak and ''c'' is related to the [[FWHM]] of the peak according to <math>FWHM = 2 \sqrt{\2 \ln(2)}c</math>. Gaussian functions with ''c''<sup>2</sup> = 2 are [[eigenfunction]]s of the [[Fourier transform]]. This means that the Fourier transform of a Gaussian function, ''f'', is not only another Gaussian function but a [[scalar (mathematics)\|scalar]] multiple of ''f''.

Gaussian function: Difference between revisions