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InverseFourierTransform2.m

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InverseFourierTransform2.m

by Carlos Adrian Vargas Aguilera

 

16 Dec 2006 (Updated 18 Dec 2006)

Inverse Fourier complex transform of a origin-symetrical complex transform (result 2D real field).

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Description

[Z,X,Y] = INVERSEFOURIERTRANSFORM2(RC,IC,dFx,dFy) Gives the real 2D field Z(X,Y) from the components of the complex 2D Fourier transform, Cz(Fx,Fy) = RC(Fx,Fy) + i*IC(Fx,Fy) taken at dFx,dFy sampling frequency interval (optional), via IFFT2.

The Cz are symmetrical with the origin and the spatial 2D Fourier frequencies (Fx,Fy) must have the origin at the center. Fy must increase upwards contrary to the row index.

The user can see how to get the same result using IFFT twice, or via complex exponentials (slower). This is the goal of the program.

The program comes with the example at the screenshot.

See also my inversefouriertransform.m here at FEx.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
InverseFourierTransform.m

MATLAB release MATLAB 7.1.0 (R14SP3)
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spectral analysis Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
fourier Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
spectrum Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
fft Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
ifft Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
fft2 Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
ifft2 Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01
fftshift Carlos Adrian Vargas Aguilera 22 Oct 2008 08:53:01

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