File:Butterworth orders.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 800 × 600 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Original file (SVG file, nominally 800 × 600 pixels, file size: 68 KB)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| 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.
|
||
| Date | |||
| Source | Own work | ||
| Author | Cburnett | ||
| Other versions |
|
||
| gnuplot source | click to expand
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"
|
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
  
|
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
| ||
| This licensing tag was added to this file as part of the GFDL licensing update. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:47, 6 April 2015 | | 800 × 600 (68 KB) | Chris828 (talk | contribs) | replot |
| 23:17, 4 October 2007 |  | 800 × 600 (45 KB) | Cburnett (talk | contribs) | Forced background of plot to white | |
| 23:12, 4 October 2007 |  | 800 × 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 |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikipedia.org
- Usage on fr.wikipedia.org
