Measuring Reverberation time (Sotirios Bakagiannis )

Subject: Measuring Reverberation time
From:    Sotirios Bakagiannis  <s.bakagiannis(at)BTOPENWORLD.COM>
Date:    Fri, 30 Nov 2001 22:05:56 +0000

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Ben Hi,
A quick and easy way of estimating Rt is by ear. Clap your hands and listen
for a rough guess (you may also want to look at your watch).
If you're after the numbers, you'd have to use a more copious method.
A basic one would be to run a few dB plots on a Neutric sound level
recorder, e.g. Neutrik (provided you can find one). If this is the case,
here's what to do:
First thing you'll need is a loud impulse, i.e a very short sound (loud
means you have to use ear protection).  For this purpose you may want to
fire one of those special acoustic pistols (B&K used to do them).
Alternatively, two large pieces of wood or smtng similar (e.g. broomstick)
would do. Before you bang! place the neutric analyser and your mic in one
end of the room (preferably a pressure-mic, most importantly omnidirectional
-Neutric type 3382 usually comes with the plotter and make sure it's a
recently calibrated one). Ask a friend to do the banging at the other end of
the room (it doesn't matter where the source lies as long as you keep it as
far distant from the mic as possible, you want to capture as less of the
direct signal you can get away with - nevertheless, you should also avoid
placing both source and mic near the walls).
Next: 'activate' the sound source and run the plotter.

[Bare in mind you might have to run a few tests in order to find an
approrpiate paper speed on the Neutrik - they do come with a few settings, a
sample configuration for a medium sized room I did the other day would be:
plotter switch to reverberation time,
vernier calibrated input at -40 dB,
phantom power on,
50dB scale as the display range,
200mm/s writting speed,
approximately 30mm/s paper speed
]

Assuming you now have your plot, what you then do is calculate the slope of
the decay curve.
In short,
Interpreting the plot you are interested in the decay portion of the graph,
which comes shortly after the direct sound has died away. In order to
calculate the slope of this - call it a curve (and find the decay rate), try
drawing a best fit, find two points and take the ratio of the difference of
their coordinates. You can measure the distance between the two points using
a small ruler.
Do this and you're done, there's your figure. Note you won't find Rt by
looking at the horizontal measure because the plotter motor runs at a
specific paper speed, not in real time.

You may repeat the whole process using a noise source.

Another way to do this experiment (Neutrik analysers have gone out of
fashion I guess) would be to use a soft sound editor instead (just print out
the plot and go through the same calculations (decay rate - best fitting
line - two points - gradient). Again the mic needs to be calibrated (and so
would your amplifier of course) and the source kept as far from the mic as
possible (or indeed vice versa).

You'll need a noise source (white), a sound level meter and octave band
filters if you want to measure frequency response. This method is far more
complicated and you have to be cautious (I couldn't possibly emphasise any
more the importance of using calibrated equipment). If you have this
equipment (B&K are the standard) consult the manuals, there you'll find all
the information you need to take accurate measurements.
Finally, there are more sophisticated equipment you can use (e.g. LINDOS,
melissa boards etc. etc.), but they cost enormous ammounts of money.

Of course, if you know the absorption coefficients you can calculate Rt
beforehand (you can look-up the materials in one of those long tables -
building standards manuals have them). If the walls are parallel and given
the dimensions quoted above you are most likely to get standing waves (the
scientific term is eigen tones) which you may also calculate up to a
frequency. There's various formulas on the market, which you'll find on the
net if you do a keyword search either on reverberation time, or Sabine, or
Norris-Eyring, or eigen tones (or eigen modes) and/or other assorted terms.

By the way consult
Kryter, K. D. 1985. The effects of noise on Man. Second Edition. New York:
Academic Press.
on speech intelligibility measures.

Hope this's been helpful.

--
Sotirios Bakagiannis

P.S. Your graph should look a bit like like this:



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<HTML>
<HEAD>
<TITLE>Measuring Reverberation time</TITLE>
</HEAD>
<BODY>
Ben Hi, <BR>
A quick and easy way of estimating Rt is by ear. Clap your hands and listen=
 for a rough guess (you may also want to look at your watch).<BR>
If you're after the numbers, you'd have to use a more copious method.<BR>
A basic one would be to run a few dB plots on a Neutric sound level recorde=
r, e.g. Neutrik (provided you can find one). If this is the case, here's wha=
t to do:<BR>
First thing you'll need is a loud impulse, i.e a very short sound (loud mea=
ns you have to use ear protection). &nbsp;For this purpose you may want to f=
ire one of those special acoustic pistols (B&amp;K used to do them). Alterna=
tively, two large pieces of wood or smtng similar (e.g. broomstick) would do=
. Before you bang! place the neutric analyser and your mic in one end of the=
 room (preferably a pressure-mic, most importantly omnidirectional -Neutric =
type 3382 usually comes with the plotter and make sure it's a recently calib=
rated one). Ask a friend to do the banging at the other end of the room (it =
doesn't matter where the source lies as long as you keep it as far distant f=
rom the mic as possible, you want to capture as less of the direct signal yo=
u can get away with - nevertheless, you should also avoid placing both sourc=
e and mic near the walls). <BR>
Next: 'activate' the sound source and run the plotter. <BR>
<BR>
[Bare in mind you might have to run a few tests in order to find an approrp=
iate paper speed on the Neutrik - they do come with a few settings, a sample=
 configuration for a medium sized room I did the other day would be:<BR>
<UL><LI><FONT SIZE=3D"2">plotter switch to reverberation time,=20
<LI>vernier calibrated input at -40 dB,=20
<LI>phantom power on,=20
<LI>50dB scale as the display range,=20
<LI>200mm/s writting speed,=20
<LI>approximately 30mm/s paper speed<BR>
</FONT></UL>]<BR>
<BR>
Assuming you now have your plot, what you then do is calculate the slope of=
 the decay curve.<BR>
In short,<BR>
Interpreting the plot you are interested in the decay portion of the graph,=
 which comes shortly after the direct sound has died away. In order to calcu=
late the slope of this - call it a curve (and find the decay rate), try draw=
ing a best fit, find two points and take the ratio of the difference of thei=
r coordinates. You can measure the distance between the two points using a s=
mall ruler. <BR>
Do this and you're done, there's your figure. Note you won't find Rt by loo=
king at the horizontal measure because the plotter motor runs at a specific =
paper speed, not in real time.<BR>
<BR>
You may repeat the whole process using a noise source. <BR>
<BR>
Another way to do this experiment (Neutrik analysers have gone out of fashi=
on I guess) would be to use a soft sound editor instead (just print out the =
plot and go through the same calculations (decay rate - best fitting line - =
two points - gradient). Again the mic needs to be calibrated (and so would y=
our amplifier of course) and the source kept as far from the mic as possible=
 (or indeed vice versa). <BR>
<BR>
You'll need a noise source (white), a sound level meter and octave band fil=
ters if you want to measure frequency response. This method is far more comp=
licated and you have to be cautious (I couldn't possibly emphasise any more =
the importance of using calibrated equipment). If you have this equipment (B=
&amp;K are the standard) consult the manuals, there you'll find all the info=
rmation you need to take accurate measurements. <BR>
Finally, there are more sophisticated equipment you can use (e.g. LINDOS, m=
elissa boards etc. etc.), but they cost enormous ammounts of money. <BR>
<BR>
Of course, if you know the absorption coefficients you can calculate Rt bef=
orehand (you can look-up the materials in one of those long tables - buildin=
g standards manuals have them). If the walls are parallel and given the dime=
nsions quoted above you are most likely to get standing waves (the scientifi=
c term is eigen tones) which you may also calculate up to a frequency. There=
's various formulas on the market, which you'll find on the net if you do a =
keyword search either on reverberation time, or Sabine, or Norris-Eyring, or=
 eigen tones (or eigen modes) and/or other assorted terms. <BR>
<BR>
By the way consult<BR>
Kryter, K. D. 1985. <I>The effects of noise on Man</I>. Second Edition. New=
 York: Academic Press. &nbsp;<BR>
on speech intelligibility measures. <BR>
<BR>
Hope this's been helpful.<BR>
<BR>
-- <BR>
<FONT SIZE=3D"2">Sotirios Bakagiannis</FONT> <BR>
<BR>
P.S. Your graph should look a bit like like this:<BR>
<BR>
</BODY>
</HTML>


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