[net.audio] Phasing in general

swj@fluke.UUCP (Stan Jones) (08/17/83)

First, an appology for my flame about all the Horse.... about phasing
etc.  I had just finished clearing my news articles after 2 wks. vacation
and in one pass was a bit overwhelming!!!  After thinking about it
overnight, I decided to add my own thoughts on the subject.

An "ideal" speaker would ba a point source, or at least radiate from
an area smaller than a 1/4 wavelength at the highest frequency of interest.
Unfortunatly, the Physics involved prevents us from realizing this goal
except when the acoustic levels are very low (as in earphones for ex.).
The reason to keep the source small is so that the sound radiates evenly
in all directions (or at least most of 180 degrees).  The closest
practical solution to this problem is to use multiple sources which are
capable of the desired sound level (without significant distortion) and
then combine them so they act as a point source!  Therein is the challenge!

In this multiple speaker system it will still be necessary to keep each
speaker smaller than 1/4 wavelength diameter at the highest frequency it
will radiate (to at least -20Db down the crossover curve).  In addition,
it is necessary to keep both active speakers in the crossover region
within the 1/4 wave area.  At 1khz that is 2.5 inches!!!!  If it is
necessary to exceed this dimension then it is preffered that it be in the
vertical plane so that the horizontal spread of the sound is still as wide
as possible.

The critical region for phase response is in the crossover region where
both speakers are active.  If the acoustic output of one speaker compared
to the other (as in woofer and midrange) is not in the same phase, then
the pair will not behave as a non-directional source and will have
significant directional effects at different frequencies in the crossover
region, seriously degrading the imaging ability of the system.

A 6Db/octave crossover is itself very well behaved thru the crossover
region, but since the -20Db points are so far from the "crossover point"
the behavior of the speakers themselves is often very poor with respect to
phase.  However, in the absence of instrumentation to accurately measure
the phases thru this region (and a method of adjusting them) the chances
of building a successful system is probably better with 6Db x-overs and
off the shelf speakers.

3rd or 4th order filters dramatically reduce the phase problems
contributed by the speakers since they now both only function over a small
part of the spectrum, but the much more rapid phase change with frequency
makes measurement and adjustment of the crossover phase response necessary
for each speaker (at least by Manuf. and Model if not for each driver). 

It is easy to get an approximate measurement of your speakers behavoir in
this respect.  Get a small wideband microphone (Radio Shack has an
electret mike element for approx. $1.20) and hook it to a scope.  Put the
mike 2 to 4 inches from the front of your speaker and be able to move it
in a vertical plane from in front of the woofer to in front of the
mid-range while looking at its response on the scope.  Feed an audio osc.
thru your amp to the speaker and compare the relative phase of the two
signals picked up by the mike when in front of each speaker.  The only
thing we are concerned with in this simple test is how the phase compares
between the two drivers.  The scope must be triggered externally by the
audio signal going into the system.  A correctly phased system will show a
change in amplitude dependant on frequency when moving the mike between
drivers, but the phase (or zero crossings) will not vary.  Actually, less
than 20 or 30 degrees of phase shift is excellent.  Run the test over the
crossover region to where each driver is down to about 10% output.  Be
prepared for some surprises!!!!!!! 

Enough for now!  I have touched only the subject of relative phase between
drivers to maintain dispersion not absolute phase (or time).  By the way,
reversing the connections to a driver of an otherwise correctly phased
system will cause a cancellation of output (sound) on axis and at
"crossover point", and all kinds of distortion of the accoustic pattern at
nearby frequencies.

Stan Jones
Service Products, Fluke