File:Sinc function (normalized).svg

✓ The source code of this SVG is valid.

Unnormalized

Normalized

Both

Graph of the normalized sinc function sin(πx)/(πx).

[edit] Instructions

See Wikipedia graph-making tips.

Generated in gnuplot with the following script:

# Set 1300×975 SVG output and filename
# The font size (fsize) sets the size for the circles, too.
set samples 400
set terminal svg enhanced size 1300 975 fname "Times" fsize 36
set output "sinc function (normalized).svg"

# Set y axis limits so the plot doesn't go right to the edges of the graph 
set yrange [-0.3:1.1]
set xrange [-6:6]

set lmargin 5
set bmargin -5

# No legend needed
set nokey

# Add lightly-colored axis lines
set yzeroaxis
set xzeroaxis

# Put a y-axis tic at every 0.2
set ytics 0.2
set mytics 4

# Format tics as digit with one decimal place
set format y "%2.1f"

# Put an x-axis tic at every integer
set xtics 1
set format x "%2.0f"
set mxtics 5

# Plot as lines
plot sin(pi*x)/(pi*x) with lines
 
# Close the file (so I don't have to close gnuplot to view it)
set output

Then I opened the resulting SVG file in Inkscape, changed the line colors, brought the plot lines to the top, made all the lines 3 px wide, made the grid lines 2px wide and 50% transparency.

[edit] Licensing

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-Share Alike 3.0 Unported, 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one. www.creativecommons.org/licenses/by-sa/3.0 CC-BY-SA-3.0-2.5-2.0-1.0 Creative Commons Attribution-Share Alike 3.0-2.5-2.0-1.0 truetrue 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. www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue 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.)

[edit] External links

• Mathworld's version

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

	Date/Time	Thumbnail	Dimensions	User	Comment
current	01:20, 4 December 2010		454 × 311 (37 KB)	Krishnavedala	((corrected SVG code and beautified))
	17:36, 3 June 2006		1,300 × 975 (23 KB)	Omegatron	(i think we can squeeze in all the integers)
	17:32, 3 June 2006		1,300 × 975 (19 KB)	Omegatron	(thicker lines, tweaks)
	03:03, 22 May 2006		1,000 × 750 (14 KB)	Omegatron

• Discrete wavelet transform
• Fourier transform
• Low-pass filter
• Nyquist–Shannon sampling theorem
• Overshoot (signal)
• Ringing artifacts
• Sinc filter
• Talk:Sinc function

The following other wikis use this file:

• Usage on de.wikipedia.org
  • Idealer Tiefpass
• Usage on eo.wikipedia.org
  • Malalta-pasa filtrilo
• Usage on es.wikipedia.org
  • Artefactos de anillo
• Usage on it.wikipedia.org
  • Interferenza intersimbolica
• Usage on pt.wikipedia.org
  • Usuário:Wcris/qft
  • Teorema da amostragem
• Usage on ro.wikipedia.org
  • Transformata Fourier
• Usage on ru.wikipedia.org
  • Sinc-фильтр