k-Wave Toolbox |

# gaussian

Create a Gaussian distribution

## Syntax

    gauss_distr = gaussian(x)
    gauss_distr = gaussian(x, magnitude)
    gauss_distr = gaussian(x, magnitude, mean)
    gauss_distr = gaussian(x, magnitude, mean, variance)

## Description

`gaussian` returns a Gaussian distribution f(x) with the specified magnitude, mean, and variance. If these values are not specified, the magnitude is normalised and values of variance = 1 and mean = 0 are used. For example running

    x = -3:0.05:3;
    plot(x, gaussian(x));

Will plot a normalised Gaussian distribution.

Note, the full width at half maximum of the resulting distribution can be calculated by `FWHM = 2 * sqrt(2 * log(2) * variance)`.

## Inputs

`x` | x-axis variable

## Optional Inputs

`magnitude` | bell height (default = normalised)
`mean` | mean or expected value (default = 0)
`variance` | variance ~ bell width (default = 1)

## Outputs

`gauss_distr` | Gaussian distribution

## See Also

`getWin`

© 2009, 2010, 2011 Bradley Treeby and Ben Cox.