dd_gauss

Gaussian distribution

Syntax

info = dd_gauss()
P = dd_gauss(r,param)
Parameters
  • r - Distance axis (N-array)
  • param - Model parameters
Returns
  • P - Distance distribution (N-array)
  • info - Model information (struct)

Model

P(r) = \sqrt{\frac{2}{\pi}}\frac{1}{\sigma}\exp\left(-\frac{(r-\left<r\right>)^2}{\sigma^2}\right)

with \sigma = \mathrm{FWHM}/\sqrt{2ln(2)}

Variable Symbol Default Lower bound Upper bound Description
param(1) r0 3.5 1.0 20 center distance (nm)
param(2) \mathrm{FWHM} 0.5 0.2 5 FWHM (nm)

Example using default parameters:

../_images/model_dd_gauss.png

Description

info = dd_gauss()

Returns an info structure containing the specifics of the model:

  • info.model - Full name of the parametric model.
  • info.nparam - Total number of adjustable parameters.
  • info.parameters - Structure array with information on individual parameters.
P = dd_gauss(r,param)

Computes the distance distribution model P from the axis r according to the parameters array param. The required parameters can also be found in the info structure.