File:Fourier transform two ways.png
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Summary
[edit]Description |
Two views of the Fourier transform of a function f(t). The first shows the plot of the time domain representation of f. The second plot shows the real and imaginary parts of the Fourier transform as a function of ω (assumed real). The other two plots the magnitude (complex modulus) and phase (complex argument) of the Fourier transform. This was created by me (User:Slawekb) in Mathematica, version 9.0. The code to reproduce this is: fplot = Plot[f[x], {x, -4, 4}, AxesLabel -> {"t", "f(t)"}]
Fplot = Plot[{Re[F[s]], Im[F[s]]}, {s, -6, 6}, PlotRange -> All,
AxesLabel -> {"\[Omega]",
"Re(\!\(\*OverscriptBox[\(f\), \(^\)]\)(\[Omega])), \
Im(\!\(\*OverscriptBox[\(f\), \(^\)]\)(\[Omega]))"}]
AbsFplot =
Plot[Abs[F[s]], {s, -6, 6}, PlotRange -> All,
AxesLabel -> {"\[Omega]",
"|\!\(\*OverscriptBox[\(f\), \(^\)]\)(\[Omega])|"}]
ArgFplot =
Plot[Arg[F[s]], {s, -6, 6}, PlotRange -> All,
AxesLabel -> {"\[Omega]",
"arg(\!\(\*OverscriptBox[\(f\), \(^\)]\)(\[Omega]))"}]
GraphicsGrid[{{fplot}, {Fplot}, {AbsFplot, ArgFplot}}]
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Source |
Created in mathematica 9.0 |
Date |
2014-11-26 |
Author | |
Permission (Reusing this file) |
See below.
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Licensing
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:42, 26 November 2014 | ![]() | 648 × 610 (40 KB) | Slawekb (talk | contribs) | Made less minuscule. |
23:35, 26 November 2014 | ![]() | 863 × 813 (45 KB) | Slawekb (talk | contribs) | Uploading a self-made file using File Upload Wizard |
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