File:Butterworth orders.svg

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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.

This plot was generated by the following gnuplot code as provided in File:Butterworth orders.png.
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This W3C-unspecified plot was created with Gnuplot.


Русский: Амплитудно-частотные характеристики фильтров Баттерворта разных порядков. Частота среза нормирована к 1 рад/с. Коэффициент передачи в полосе пропускания всех фильтров равен 1.
Date
Source Own work
Author Cburnett
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gnuplot source
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 set samples 1001
 set terminal svg enhanced size 800 600 background rgb 'white'
 set output "butterworth_orders.svg"

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

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

 set grid linestyle 1 lt 1 lc rgb "#808080"

 # 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 at 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"

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Date/TimeThumbnailDimensionsUserComment
current09:47, 6 April 2015Thumbnail for version as of 09:47, 6 April 2015800 × 600 (68 KB)Chris828 (talk | contribs)replot
23:17, 4 October 2007Thumbnail for version as of 23:17, 4 October 2007800 × 600 (45 KB)Cburnett (talk | contribs)Forced background of plot to white
23:12, 4 October 2007Thumbnail for version as of 23:12, 4 October 2007800 × 600 (40 KB)Cburnett (talk | contribs){{Information |Description={{en|Butterworth filter frequency response of several orders. Cutoff frequency is normalized to 1 rad/s. Gain is normalized to 0 dB in the passband |Source

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