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File:Example dft dct.svg

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DescriptionExample dft dct.svg

The plot shows the differences between a DFT and a DCT of a generic signal.

The first plot is a sampled ramp in the time domain. The second one represents the modulus of its DFT. The third one the plot of its DCT.

I obtained it in a two step process. First I ran the following Matlab code:

thus creating a file called example_dft_dct.dat. Then I ran the following Gnuplot code:

Date
Source Own work
Author Alessio Damato
SVG development
InfoField
 The source code of this SVG is invalid due to an error.
 This W3C-invalid plot was created with Gnuplot.
  This plot uses embedded text that can be easily translated using a text editor.
Source code
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Matlab code

n=0:10;
E=[n;abs(fft(n));dct(n)];
E=E';
save-ascii'example_dft_dct.dat'E;

Gnuplot code

# set the output
setterminalsvg
setoutput"example_dft_dct.svg"
# axis properties
setxlabel"n"
setxrange[-1:11]
setxzeroaxislinetype-1linewidth0.5
setyzeroaxislinetype-1linewidth0.5
setxticsaxis
unsetytics
setkeyoff
setpointsize1.5
# Set up a four-pane multiplot
setsize1,1
setorigin0,0
setmultiplot
settitle"A generic sampled signal"
setsize1,0.35
setorigin0,0.69
plot"example_dft_dct.dat"using1:1withpoints1
plot"example_dft_dct.dat"using1:1withimpulses1
settitle"The modulus of its DFT"
setsize1,0.35
setorigin0,0.36
plot"example_dft_dct.dat"using1:2withpoints2
plot"example_dft_dct.dat"using1:2withimpulses2
settitle"Its DCT"
setsize1,0.35
setorigin0,0.03
plot"example_dft_dct.dat"using1:3withpoints3
plot"example_dft_dct.dat"using1:3withimpulses3

Licensing

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I, the copyright holder of this work, hereby publish it under the following licenses:
[画像:GNU head] Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License , Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License .http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
w:en:Creative Commons
attribution share alike This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
https://creativecommons.org/licenses/by-sa/2.5CC BY-SA 2.5 Creative Commons Attribution-Share Alike 2.5 truetrue
You may select the license of your choice.

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Date/TimeThumbnailDimensionsUserComment
current11:43, 18 November 2005 Thumbnail for version as of 11:43, 18 November 2005 600 ×ばつ 480 (16 KB)Alejo2083 (talk | contribs) The plot shows the differences between a en:DFT and a en:DCT of a generic signal. The first plot is a sampled ramp in the time domain. The second one represents the modulus of its DFT. The third one the plot of its DCT. I obtained it in a two

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