Instructions

See Wikipedia graph-making tips.

Newest version created in Maxima using the command:

x(t):=sin(2*%PI*(.1)*(3^t)*t);

So f₀ = 0.1 Hz, and k = 3, according to the equation given in the article:

${\displaystyle x(t)=\sin(2\pi f(t)t)=\sin(2\pi f_{0}k^{t}t)}$

It was then plotted using Maxima's gnuplot interface through the command:

 This plot was created with gnuplot by n.Category:PNG created with Gnuplot#Exponentialchirp.png

To convert the PostScript file to PNG:

1. Open it in the GIMP (make sure you have ghostscript installed! - Windows instructions)
   • Enter 500 under Resolution (it doesn't say "DPI" but I think that's what it means)
   • Uncheck Try bounding box (since the bounding box cuts off the edge, unfortunately. You can try with the bounding box first.)
   • Enter large values for Width and Height
   • Check Color
   • Check Strong anti-aliasing for both graphics and text
2. Crop off extra whitespace (Shift+C if you can't find it in the toolbox)
3. Possibly need to rotate it: Click Image → Transform → Rotate 90 degrees clockwise
4. Filters → Blur → Gaussian blur at 2.0 px (No need to blur if you use strong anti-aliasing during conversion. I see no significant difference between end results.)
5. Image → Scale Image...
   • Width and Height at 25%
   • Cubic interpolation
6. You can view at normal size if you want by pressing 1, Ctrl+E
7. Save as Exponentialchirp.png

(There were some artifacts of the lines being "painted with a pointy brush" in the high frequency section, so I just clipped off the tops with the GIMP brush.)

Created by User:Omegatron using gnuplot, possibly with post-processing in the GIMP (PNG) or Inkscape (SVG)

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