Image:Butterworth orders.svg
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Butterworth_orders.svg (Fichier SVG, résolution de 800 × 600 pixels, taille : 45 Kio)
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[edit] 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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|---|---|
| Source |
Own work with gnuplot |
| Date | |
| Author | |
| Permission (Reusing this image) |
see below |
[edit] Licensing
[edit] gnuplot code
This plot was generated by the following gnuplot code as provided in Image:Butterworth orders.png:
set samples 1001
set terminal svg size 800 600
set output "butterworth_orders.svg"
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"
Historique du fichier
Cliquer sur une date et une heure pour voir le fichier tel qu’il était à ce moment-là
| Date et heure | Dimensions | Utilisateur | Commentaire | |
|---|---|---|---|---|
| actuel | 5 octobre 2007 à 01:17 | 800×600 (45 Kio) | Cburnett | (Forced background of plot to white) |
| 5 octobre 2007 à 01:12 | 800×600 (40 Kio) | Cburnett | ({{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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