File:CriticalFrequencyAliasing.svg

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CriticalFrequencyAliasing.svg‎ (SVG file, nominally 600 × 480 pixels, file size: 22 KB)

[edit] Summary

Description
English: Plot of some sinusoids with the critical frequency (one half cycle per sample), all having samples alternating between +1 and -1 at integer values of t/T.
Date

1 July 2008(2008-07-01)
Source

Created from scratch with gnuplot, based on idea from original bitmap version
Author

Qef
Permission
(Reusing this image)		 See below.
Other versions

[edit] Source code

Gnuplot input file:

set terminal svg font "Bitstream Vera Sans"
set output "CriticalFrequencyAliasing.svg"

set xrange [-3:3]
set yrange [-3:3]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set key off

set samples 300

plot f(x) = (1/cos(a)) * cos(pi*x+a), \
     a=0, f(x), \
     a=1, f(x), \
     a=2, f(x)
plot "CriticalFrequencyAliasing.points" \
     with points pointtype 7 linetype rgbcolor "black"

The 'CriticalFrequencyAliasing.points' file contains the following:

-3 -1
-2 1
-1 -1
0 1
1 -1
2 1
3 -1

Finally, after running Gnuplot I post-processed the image with 'sed' to tweak the axis labels, changing hyphens to real minus signs:

sed 's/<text>-/<text>\xE2\x88\x92/g' <input.svg >output.svg

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:53, 1 July 2008Thumbnail for version as of 18:53, 1 July 2008600×480 (22 KB)Qef (Talk | contribs) ({{Information |Description={{en|1=Plot of some sinusoids with the critical frequency (one half cycle per sample), all having samples alternating between +1 and -1 at integer values of t/T.}} |Source=Created from scratch with gnuplot, based on idea from or)

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