A method of S1FunHarmonic.

the pointwise square root, a Fourier series of a smoothing bandwidth, or at the bandwidth given

Syntax

sF = sqrt(sF)

At twice the bandwidth, at least 32.

sF = sqrt(sF, bandwidth=64)

At the bandwidth given.

Description

The function is evaluated on an equispaced grid and expanded again by quadrature (mapFun). The square root is no trigonometric polynomial, so the expansion is cut at the bandwidth: by default twice that of the function, at least 32, where MATLAB takes the default bandwidth of S1FunHarmonic.quadrature.

Input

sF S1FunHarmonic

Keywords

keyword default description
bandwidth None the largest frequency of the result

Output

sF S1FunHarmonic

See also

mapFun, S1FunHarmonic.quadrature

MATLAB’s S1FunHarmonic.sqrt

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/S1FunHarmonic.sqrt_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.