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