File:Fourier synthesis.svg

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Summary

Description
English: Fourier analysis of a square wave.
Deutsch: Fourieranalyse eines Rechtecksignals.
Date
Source Own work, SVG Version of File:Fouriersynthese.png
Author René Schwarz

Created with Gnuplot 4.4.0 -- and modified after export.

<source enclose="div" line lang="gnuplot"> reset set terminal svg size 1000,618 set output "Fouriersynthese.svg" set multiplot layout 4,4 unset key set border 3 set size ratio 0.6180339887 set zeroaxis lt -1 set lmargin 10 set rmargin 2 set tmargin 1 set bmargin 3 set yr [-1.5:1.5] set xr [0:7] set samples 10000 set xtics out 5 set mxtics 5 set ytics out 1 set mytics 4

  1. row 1
  2. set xlabel "t"
  3. set ylabel "U"

plot 4/pi*sin(x) plot 4/pi*sin(x) plot 4/pi*sin(x) set yr [0:1.5] set xr [0:8]

  1. set xlabel "f"

plot '-' with impulses lw 2 1 1.273239545 e set yr [-1.5:1.5] set xr [0:7]

  1. row 2
  2. set xlabel "t"

plot 4/(3*pi)*sin(3*x) plot 4/pi*sin(x), 4/(3*pi)*sin(3*x) plot 4/pi*sin(x) + 4/(3*pi)*sin(3*x) set yr [0:1.5] set xr [0:8]

  1. set xlabel "f"

plot '-' with impulses lw 2 1 1.273239545 3 0.424413182 e set yr [-1.5:1.5] set xr [0:7]

  1. row 3
  2. set xlabel "t"

plot 4/(5*pi)*sin(5*x) plot 4/pi*sin(x), 4/(3*pi)*sin(3*x), 4/(5*pi)*sin(5*x) plot 4/pi*sin(x)+ 4/(3*pi)*sin(3*x) + 4/(5*pi)*sin(5*x) set yr [0:1.5] set xr [0:8]

  1. set xlabel "f"

plot '-' with impulses lw 2 1 1.273239545 3 0.424413182 5 0.254647909 e set yr [-1.5:1.5] set xr [0:7]

  1. row 4
  2. set xlabel "t"

plot 4/(7*pi)*sin(7*x) plot 4/pi*sin(x), 4/(3*pi)*sin(3*x), 4/(5*pi)*sin(5*x), 4/(7*pi)*sin(7*x) plot 4/pi*sin(x)+ 4/(3*pi)*sin(3*x) + 4/(5*pi)*sin(5*x) + 4/(7*pi)*sin(7*x) set yr [0:1.5] set xr [0:8]

  1. set xlabel "f"

plot '-' with impulses lw 2 1 1.273239545 3 0.424413182 5 0.254647909 7 0.181891364 e

unset multiplot set terminal windows reset clear </syntaxhighlight>

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16 August 2010

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Date/TimeThumbnailDimensionsUserComment
current12:54, 16 August 2010Thumbnail for version as of 12:54, 16 August 2010748 × 517 (344 KB)René Schwarz{{Information |Description={{en|1=Fourier analysis of a square wave.}} {{de|1=Fourieranalyse eines Rechtecksignals.}} |Source={{own}}, SVG Version of File:Fouriersynthese.png |Author=René Schwarz |Date=2010-08-16 |Permission=
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