Image:Analytic.png

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A signal and the magnitude of its analytic signal, to demonstrate the envelope effect, made with GNU Octave.

[edit] Instructions

See Wikipedia graph-making tips.

Generated with the following commands:

t=[0:.0001:3]; 
y1=-(1.2./t)-t+3;  
y1(y1<0)=0;
y2=sin(2*3*pi*t);
y3=y1.*y2;
hil=abs(hilbert(y3));

gset terminal postscript enhanced color solid lw 2 "Times-Roman" 20
gset output "analytic.ps"                                          
gset nokey                                                         
gset yrange [-1:1]

plot(t,y3,"3",t,hil,"1");

These can be copied and pasted, saved to the Octave work directory as a .m file (such as analytic.m), and executed by typing the name of the file: analytic.

To convert the PostScript file to PNG:

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
Crop off extra whitespace (Shift+C if you can't find it in the toolbox)
Possibly need to rotate it: Click Image → Transform → Rotate 90 degrees clockwise
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.)
Image → Scale Image...
- Width and Height at 25%
- Cubic interpolation
You can view at normal size if you want by pressing 1, Ctrl+E
Save as Analytic.png

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

I, the copyright holder of this work, hereby publish it under the following licenses:

This file is licensed under the Creative Commons Attribution ShareAlike license versions 3.0, 2.5, 2.0, and 1.0

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".

You may select the license of your choice.

(In short, this means that you can copy and modify the image freely as long as you provide attribution; preferably in the form of a link back to this page.)

File history

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

	Date/Time	Dimensions	User	Comment
current	03:39, 6 July 2005	1,250×875 (86 KB)	Omegatron	(updated now that I know pretty plots)
	19:53, 26 June 2005	563×371 (4 KB)	Omegatron	(A graph or diagram made by User:Omegatron. (Uploaded with Wikimedia Commons.) Source: Created by User:Omegatron {{GFDL}}{{cc-by-sa-2.0}} Category:Diagrams\)

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Image:Analytic.png

From Wikipedia, the free encyclopedia

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