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File:Fourier unit pulse.svg

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Original file (SVG file, nominally 800 × 600 pixels, file size: 87 KB)

Summary

Description
English: svg version of the Fourier transforms of the unit pulse function
Date
Source Own work
Author Sławomir_Biały, IkamusumeFan
Other versions https://en.wikipedia.org/wiki/File:Fourier_transform_of_rect_and_a_translation.png

Gnuplot Source Code

# Author: Slawekb, Ika, 2015-08-15
# Slawekb gave the analogous plot using Mathematica: https://en.wikipedia.org/wiki/File:Fourier_transform_of_rect_and_a_translation.png
# Anyone can copy and revise this code without any copyright concern.

set term svg size 800,600 enhanced font 'Times, 16'
set output 'fourier_unit_pulse.svg'

unset tics
unset border
unset colorbox
set sample 1000
set multiplot

set arrow from -3,0 to 3,0 nohead lw 2
set arrow from 0,-0.3 to 0,1.05 nohead lw 2

# Figure (a)
set size 0.5, 0.5
set origin 0.0, 0.5

unset key 
set yrange [-0.5:1.5]
plot [-3:3] -0.5 <= x && x <= 0.5 ? 1 : 0 w lines lw 2 lc rgb 'blue' t 'f'
unset yrange

# Figure (b)
set size 0.5, 0.5
set origin 0.5, 0.5

set key font "Times, 22"

plot [-3:3] (sin(pi*x))/(x*pi) w lines lw 2 t 'Re', 0 w lines t 'Im' lw 2
			

# Figure (c)
set size 0.5, 0.5
set origin 0.0, 0.0

unset key 
set yrange [-0.5:1.5]

plot [-3:3] 0.0 <= x && x <= 1.0 ? 1 : 0 w lines lw 2 lc rgb 'blue' t 'g'
unset yrange

# Figure (d)
set arrow from 0,-0.8 to 0,-0.2 nohead lw 2
set size 0.5, 0.5
set origin 0.5, 0.0

set key font "Times, 22"

plot [-3:3] (sin(2*pi*x))/(x*2*pi) w lines lw 2 t 'Re', (cos(2*pi*x)-1)/(2*pi*x) w lines t 'Im' lw 2

unset multiplot
set term windows
set output

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International 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 give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Fourier transforms of the unit pulse function

Items portrayed in this file

depicts

13 August 2015

File history

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

Date/TimeThumbnailDimensionsUserComment
current01:30, 15 August 2015Thumbnail for version as of 01:30, 15 August 2015800 × 600 (87 KB)IkamusumeFanadjust the legend positions and sizes, etc.
03:28, 14 August 2015Thumbnail for version as of 03:28, 14 August 2015800 × 600 (88 KB)IkamusumeFanadd axes
02:30, 14 August 2015Thumbnail for version as of 02:30, 14 August 2015800 × 600 (87 KB)IkamusumeFanremove the scale
03:22, 13 August 2015Thumbnail for version as of 03:22, 13 August 2015800 × 600 (109 KB)IkamusumeFanUser created page with UploadWizard

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