the gaussian filter is also known as Gaussian smoothing and is the result of blurring an image by a Gaussian function.

The Gaussian distribution is the same as the normal distribution. Sometimes, "Gaussian" is used as in "Gaussian noise" and "Gaussian process." See related links, Interesting that Gauss did not first derive this distribution. That honor goes to de Moivre in 1773.

autocorrelation characteristics of super gaussian optical pulse with gaussian optical pulse.

when the signals are symmetric then this signals are gaussian

In statistics, the Gaussian curve, also known as the Normal curve, is symmetrical.

A Gaussian noise is a type of statistical noise in which the amplitude of the noise follows that of a Gaussian distribustion whereas additive white Gaussian noise is a linear combination of a Gaussian noise and a white noise (white noise has a flat or constant power spectral density).