Gaussian noise

Gaussian noise is statistical noise having a probability density function (PDF) equal to that of the normal distribution, which is also known as the Gaussian distribution. In other words, the values that the noise can take on are Gaussian-distributed.

The probability density function ${\displaystyle p}$ of a Gaussian random variable ${\displaystyle z}$ is given by:

where ${\displaystyle z}$ represents the grey level, ${\displaystyle \mu }$ the mean value and ${\displaystyle \sigma }$ the standard deviation.

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