File:Butterworth orders.png

Summary

Description
English: Butterworth filter frequency response of several orders. Cutoff frequency is normalized to 1 rad/s. Gain is normalized to 0 dB in the passband.

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 This plot was created with gnuplot by n.
Category:PNG created with Gnuplot#Butterworth%20orders.pngTo convert the PostScript file to PNG:
  1. 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
  2. Crop off extra whitespace (Shift+C if you can't find it in the toolbox)
  3. Possibly need to rotate it: Click Image → Transform → Rotate 90 degrees clockwise
  4. 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.)
  5. Image → Scale Image...
    • Width and Height at 25%
    • Cubic interpolation
  6. You can view at normal size if you want by pressing 1, Ctrl+E
  7. Save as Butterworth orders.png
Date 20 July 2005 (upload date)
Source Own work
Author Omegatron
Other versions
gnuplot source
InfoField
 set samples 1001
 set terminal postscript enhanced landscape color solid lw 2 "Times-Roman" 20
 set output "butterworth_orders.ps"

 G(w,n) = 1 / (sqrt(1 + w**(2*n)))

 dB(x) = 20 * log10(abs(x))

 set grid

 # Set x axis to logarithmic scale
 set logscale x 10

 # Set range of x and y axes
 set xrange [0.01:100]
 set yrange [-100:10]

 # Create 10 x tick marks per decade
 set xtics 10

 set xlabel "Angular frequency (rad/s)"
 set ylabel "Gain (dB)"

 # Put legend in bottom left corner
 set key 0.1,-45

 # Plot five orders of the filter
 plot \
     dB(G(x,1)) title "1st order", \
     dB(G(x,2)) title "2nd order", \
     dB(G(x,3)) title "3rd order", \
     dB(G(x,4)) title "4th order", \
     dB(G(x,5)) title "5th order"
File:Butterworth orders.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.Category:Vector version available
File:Butterworth orders.png → File:Butterworth orders.svg
For more information, see Help:SVG.
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New SVG image

File:Butterworth Filter Orders.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.Category:Vector version available
File:Butterworth orders.png → File:Butterworth Filter Orders.svg
For more information, see Help:SVG.
In other languages
Alemannisch ∙ العربية ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ нохчийн ∙ čeština ∙ dansk ∙ Deutsch ∙ Ελληνικά ∙ English ∙ British English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ Frysk ∙ galego ∙ Alemannisch ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ Ido ∙ italiano ∙ 日本語 ∙ ქართული ∙ 한국어 ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ Bahasa Melayu ∙ မြန်မာဘာသာ ∙ norsk bokmål ∙ Plattdüütsch ∙ Nederlands ∙ norsk nynorsk ∙ norsk ∙ occitan ∙ polski ∙ prūsiskan ∙ português ∙ português do Brasil ∙ română ∙ русский ∙ sicilianu ∙ Scots ∙ slovenčina ∙ slovenščina ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ ไทย ∙ Türkçe ∙ татарча / tatarça ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（中国大陆） ∙ 中文（简体） ∙ 中文（繁體） ∙ 中文（马来西亚） ∙ 中文（新加坡） ∙ 中文（臺灣） ∙ +/−
New SVG image

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Category:License migration redundant#Butterworth%20orders.pngCategory:GFDL#Butterworth%20orders.png
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Category:Bode plots Category:Butterworth filters
Category:Bode plots Category:Butterworth filters Category:CC-BY-SA-3.0,2.5,2.0,1.0 Category:GFDL Category:License migration redundant Category:PNG created with Gnuplot Category:Self-published work Category:Vector version available