WOLFRAM SYSTEM MODELER

FastFourierTransform

Library of functions for the Fast Fourier Transform (FFT)

Package Contents

Examples

Examples demonstrating the usage of the Math.FastFourierTransform functions

realFFTinfo

Print information about real FFT for given f_max and f_resolution

realFFTsamplePoints

Return number of sample points for a real FFT

realFFT

Return amplitude and phase vectors for a real FFT

realFFTwriteToFile

Write real FFT computation to file

Internal

Internal library that should not be used directly by a user

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This package provides functions to compute the Fast Fourier Transform (FFT).

For an example see Examples.RealFFT1 where the following signal is computed during simulation 

y = 5 + 3*sin(2*pi*2) + 1.5*cos(2*pi*3)

the continuous-time signal y is sampled and the FFT is computed with a call to realFFT(f_max=4, f_resolution=0.2), resulting in:

References

Mark Borgerding (2010):
KissFFT, version 1.3.0. http://sourceforge.net/projects/kissfft/.
 
James W. Cooley, John W. Tukey (1965):
An algorithm for the machine calculation of complex Fourier series. Math. Comput. 19: 297-301. doi:10.2307/2003354.
 
Martin R. Kuhn, Martin Otter, Tim Giese (2015):
Model Based Specifications in Aircraft Systems Design. Modelica 2015 Conference, Versailles, France, pp. 491-500, Sept.23-25, 2015. Download from: http://www.ep.liu.se/ecp/118/053/ecp15118491.pdf

Wolfram Language

In[1]:=
SystemModel["Modelica.Math.FastFourierTransform"]
Out[1]:=

Revisions

Date Description
Nov. 29, 2015 Initial version implemented by Martin R. Kuhn and Martin Otter (DLR Institute of System Dynamics and Control.