Image:Sinc function (normalized).svg

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] License

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 Български | Català | Česky | Dansk | Deutsch | Ελληνικά | English | Español | Euskara | Estremeñu | Français | עברית | Italiano | 日本語 | 한국어 | Lietuvių | Nederlands | ‪Norsk (bokmål)‬  | Occitan | Polski | Piemontèis | Português | Русский | 中文 | +/- 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". Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/- 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

• Nyquist–Shannon sampling theorem
• Talk:Sinc function