FWIW, below roughly 300-500 Hz, your room dominates the frequency
response of your sub.  Imagine your room in 1 dimension -- it's like a
guitar strings natural vibrational modes.  No matter where you stick
your stimulus, you *will* stimulate the fundamental and harmonics of the
string, and depending on where your ear is, you'll hear very, very
different levels of the fundamental and harmonics.  At the center of the
string, you'll hear very strong fundamental.  Near the nut, you'll hear
a bunch of stuff. Except a room is 3-dimensional, and you get these
'modes' in all 3 dimensions.  

With only 1 sub, it's quite impossible to get consistent frequency
response through the whole room.  You may notice that when you stand, or
sit, or move around, the bass response changes dramatically.  This has
nothing to do with your sub.  It does have something to do with the
placement of the sub.  Imagine the guitar string analogy:  if you pluck
the string at dead center, you get a nice pure tone.  This is NOT what
you want in a speaker -- you don't want to hear the room ring, you want
to hear the 'pluck' (i.e. your speaker).  Also, if you place it at 1/4
or 3/4, you hear a pretty pure mixture of the fundamental+2nd harmonic. 
When you pluck near either end of the string, you hear much less of the
natural string tones, and more 'pluck'. Extend this idea a bit, and
pluck in multiple places at the same time, you can get relatively
consistent sound throughout the string.

So, in order to get truly great bass response through a large listening
area you *must* use multiple subs, and room EQ.  If you only have 1
listening spot (or 2 very close together), you can use a single sub, but
you still need EQ.  

How many subwoofers is enough?  In principal you need quite a few. In
reality, 3-4 tends to get the job done, if care is taken in the setup
and EQ.

Just as room EQ is mandatory below 300-500 Hz, it's utterly hopeless
above 500 Hz.  As the room goes from acting like a resonance chamber
(below this critical band), to a transmission line/waveguide, it's
totally hopeless to do room EQ.  There is no possible way that I know
of, with a stereo or 7.1 system, you can EQ a wide listening area at,
say 1kHz -- 1 kHz is 1 foot wavelength, which means that you can at best
EQ about a 1/2 foot diameter sphere.  At 20 kHz this goes to a sphere
less than 1/2 inch!  

As for the difference between IIR and FIR, a little background may be
helpful.  IIR filters are generally based on the analog prototype
filters, like butterworth, chebychev, etc.   They are always minimum
phase filters, which means that the big impulse in the frequency
response comes first.  FIR filters are usually thought of as *symmetric*
FIR filters, which are *linear* phase, constand delay.  That means the
waveform is minimally distorted, and it makes it easy to add filters
together and manage the phase response.  FIR filters can happily be
truncated butterworth or chebychev minimum phase filters -- you just
make them non-symmetrical.  This is easy to do.

However -- to do a proper EQ of a speaker, the speaker has a 2nd or 4th
order rolloff -- and to EQ that properly for a crossover, you need to
use an IIR prototype filter.  If you do it with an FIR filter, you'll
end up making a truncated IIR filter without even knowing it, because
you need to compensate for the IIR-ness of the speaker itself.

Another interesting tidbit:  studies have been done determining the
audiblility of minimum phase, vs. linear phase filters.  IIRC, neither
is minimal audibility.  In order to make the minimally audible filter,
you need something close to IIR, but not quite totally minimum phase. 
But I may be remembering this one wrong.  I can't put my finger on the
paper right now.

For information on the subwoofer placement and EQ question, this is a
great paper that describes the issues and runs simulations:
http://www.aes.org/e-lib/browse.cfm?elib=11355.  

You can also check out  "Reproduction: The Acoustics and
Psychoacoustics of Loudspeakers and Rooms" by floyd Toole, chapter 4.3
"Domestic rooms and controls rooms".

-Caleb


-- 
ccrome2

Caleb Crome
Sr. Hardware Engineer
Logitech SMBU  (i.e. the Squeezebox people)

<B>The future is here.  It's just not widely distributed yet.</B> 
<I>-William Gibson</I>
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