Image:Linkwitz.svg

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Linkwitz.svg‎ (800 × 600 pixel, file size: 42 KB, MIME type: image/svg+xml)

[edit] Summary

Magnitude response of 2nd and 4th order Linkwitz-Riley filters.

[edit] Licensing

I, the creator of this work, hereby grant the permission 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.
Subject to disclaimers.

[edit] Creation

See Wikipedia graph-making tips.

This image, as well as the following text, is derived from Image:Butterworth_response.png.

This image was made using gnuplot with the following script:

set terminal svg fname "Times" fsize 24 size 800 600
set output "linkwitz.svg"
set samples 1000

# Magnitude plot of Butterworth filter
G(w,n) = 1 / (sqrt(1 + w**(2*n)))

# Magnitude plot of highpass Butterworth filter
H(w,n) = 1 / (sqrt(1 + 1/w**(2*n)))

# convert to decibel scale
dB(x) = 20 * log10(abs(x))

set logscale x 10

# put legend
set key 0.05, -18

# add grid
set grid

# 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)

# Draw LR crossovers
plot \
  -6 title "-6dB" w line 2, 0 notitle, \
  dB(G(x,1))*2 title "LR2" w line 1, dB(H(x,1))*2 notitle w line 1,\
  dB(G(x,2))*2 title "LR4" w line 3, dB(H(x,2))*2 notitle w line 3

# LR8:
# dB(G(x,4))*2 title "LR8", dB(H(x,4))*2 notitle

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File history

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(del) (cur) 01:11, 7 May 2006 . . Scoofy (Talk | contribs) . . 800×600 (43,090 bytes) (Magnitude plot of 2nd and 4th order Linkwitz-Riley crossovers, made using gnuplot)
(del) (rev) 01:04, 7 May 2006 . . Scoofy (Talk | contribs) . . 800×600 (43,082 bytes) (Magnitude plot of 2nd and 4th order Linkwitz-Riley crossovers, made using gnuplot)
(del) (rev) 00:56, 7 May 2006 . . Scoofy (Talk | contribs) . . 800×600 (43,082 bytes) (Magnitude response of 2nd and 4th order Linkwitz-Riley filters, made using gnuplot)
(del) (rev) 00:48, 7 May 2006 . . Scoofy (Talk | contribs) . . 800×600 (43,082 bytes) (Magnitude response of 2nd and 4th order Linkwitz-Riley filters, author: Peter Schoffhauzer, made using gnuplot)