A method of PoleFigure.

simulated diffraction counts: Poisson counts of factor * I + background, the background subtracted again

Syntax

pfn = pf.noisepf(100)

Counts of radiation 100.

pfn = pf.noisepf(100, 10)

With a background of 10.

pfn = pf.noisepf(100, 10, nonnegative=True)

The negative counts set to zero.

Description

Every intensity I is replaced by a random count of the Poisson distribution of the mean factor * I + background, from which the background is subtracted again: the counts a diffractometer measures for a pole figure of intensity I, the factor the radiation, the background the counts every direction receives. Where the background exceeds a count the result is negative, unless nonnegative=True sets it to zero.

Input

pf PoleFigure
factor the radiation, the counts of intensity one; one per pole figure or one for all
background the background radiation

Keywords

keyword default description
nonnegative False set the negative counts to zero (MATLAB’s flag NONNEGATIV)
rng None a numpy.random.Generator, for reproducible counts

Output

pfn PoleFigure, the simulated counts

See also

calcPoleFigure, PoleFigureSimulation

MATLAB’s PoleFigure.noisepf

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/PoleFigure.noisepf_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX 
@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.