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InverseFourierTransform.m

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InverseFourierTransform.m

by Carlos Adrian Vargas Aguilera

 

10 Dec 2006 (Updated 13 Dec 2006)

Gets the real time series from the complex Fourier transform.

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Description

x = INVERSEFOURIERTRANSFORM(Cx,dF) gives the real time series from the complex Fourier transform taken at the sampling frequency interval dF, via FFT.

The components must be taken only at positive Fourier frequencies, from zero to Nyquist. This is one of the purposes of this simple program and the FOURIERTRANSFORM.M (here at the FEx): only positive frequencies.

The other purpose is for the user to see how to get the same result via complex exponentials or Fourier trigonometric series (sines and cosines), although this methods are slower than FFT.

Another purpose is understand the diference between the components defined by the book of Percival & Walden and the one by Bloomfield.

The M-file comes with the example of the screenshot.

See also:
http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=13327

Acknowledgements
This submission has inspired the following:
InverseFourierTransform2.m
MATLAB release MATLAB 7.1.0 (R14SP3)
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17 Jan 2008 Andargie Gerawork  
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Updates
13 Dec 2006

Fix bug at line 124

Tag Activity for this File
Tag Applied By Date/Time
spectral analysis Carlos Adrian Vargas Aguilera 22 Oct 2008 08:52:00
inverse fourier Carlos Adrian Vargas Aguilera 22 Oct 2008 08:52:00
time series Carlos Adrian Vargas Aguilera 22 Oct 2008 08:52:00
ifft Carlos Adrian Vargas Aguilera 22 Oct 2008 08:52:00

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