File:Butterworth response.svg
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Size of this PNG preview of this SVG file: 512 × 384 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 512 × 384 pixels, file size: 41 KB)
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Summary
DescriptionButterworth response.svg |
English: This is the SVG version of the PNG image created by Omegatron.
I simply changed the terminal type from PostScript to SVG in the gnuplot script file. The frequency response of a Butterworth filter with logarithmic axes (Bode plot) and various labels. Cutoff frequency is normalized to 1 rad/s. Gain is normalized to 0 dB in the passband.
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gnuplot source InfoField | click to expand
set samples 2001
# set terminal postscript enhanced landscape color lw 2 "Times-Roman" 20
set terminal svg size 800 600 dynamic enhanced
set output "butterworth.svg"
# Butterworth amplitude response and decibel calculation. n is the order, which is just 1 in this image.
G(w,n) = 1 / (sqrt(1 + w**(2*n)))
dB(x) = 20 * log10(abs(x))
# Gridlines
set grid
# Set x axis to logarithmic scale
set logscale x 10
# Set range of x and y axes
set xrange [0.001:1000]
set yrange [-60:10]
# Create x-axis tic marks once per decade (every multiple of 10)
set xtics 10
# Use 10 x-axis minor divisions per major division
set mxtics 10
# Axis labels
set xlabel "Angular frequency (rad/s)"
set ylabel "Gain (dB)"
# No need for a key
set nokey #0.1,-25
# Frequency response's line plotting style
set style line 1 lt 1 lw 2
# Draw a separator between passband and stopband and label them
set style line 2 lt 2 lw 1
set style arrow 2 nohead ls 2
set arrow 3 from 1,-60 to 1,10 as 2
# Label coordinates are relative to the graph window, not to the function, centered at the 1/4 and 3/4 width points
set label 1 "Passband" at graph 0.25, graph 0.1 c
set label 2 "Stopband" at graph 0.75, graph 0.1 c
# Asymptote lines and slope lines are the same "arrow" style
set style line 3 lt 3 lw 1
set style arrow 3 nohead ls 3
# Draw asymptote lines
set arrow 1 from 1,0 to 1000,-60 as 3
set arrow 2 from .001,0 to 1,0 as 3
# -3 dB arrow style and arrow
set style line 4 lt 4 lw 1
set style arrow 4 head filled size screen 0.02,15,45 ls 4
set arrow 4 from 2,3 to 1,0 as 4
# "Cutoff frequency" label uses same coordinates as the function
set label 3 "Cutoff frequency" at 2,4 l
# "-3 dB" label
set arrow 5 from 0.5,-6 to 1,-3 as 4
set label 4 "-3.01 dB" at 0.5,-7 r
# Draw slope lines and label
set arrow 6 from 100,-20 to 12,-20 as 3
set arrow 7 from 100,-20 to 100,-39 as 3
set label 5 "Slope: -20 dB/decade" at 100,-18 c
# Plot the filter response
plot
dB(G(x,1)) ls 1 title "1st-order response"
unset output # cleanup the handle
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Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
You may select the license of your choice.
Original upload log
This image is a derivative work of the following images:
- Image:Butterworth_response.png licensed with Cc-by-sa-3.0,2.5,2.0,1.0, GFDL
- 2005-07-23T17:45:55Z Omegatron 1240x880 (87607 Bytes) split the cutoff frequency markers
- 2005-07-23T16:31:54Z Omegatron 1250x880 (94570 Bytes) Better butterworth filter response curve
- 2005-06-26T19:54:33Z Omegatron 250x220 (2251 Bytes) A graph or diagram made by [[User:Omegatron]]. (Uploaded with Wikimedia Commons.) Source: Created by [[User:Omegatron]] {{GFDL}}{{cc-by-sa-2.0}} [[Category:Diagrams]]\
Uploaded with derivativeFX
Items portrayed in this file
depicts
image/svg+xml
09460ebc1e3325b1d79e3f2cf9a6024d339a6aad
41,638 byte
384 pixel
512 pixel
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 10:50, 25 April 2013 | 512 × 384 (41 KB) | wikimediacommons>Incnis Mrsi | dehyphenation |
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