A Practical Primer on Series Crossover
Design
by
Ken Perkins
There have been a lot of questions lately regarding
how exactly to design a series crossover by ear from the curious on the MAD
and PE message boards. More people are hearing about these an want to know
what the deal is and how you come up with them. The typical response is to
point them the the known websites or publications for perusal. In response
to this I've decided to share with the group how I come up with mine. This
is only my experience and opinion and is by no means intended to be the rule
or to contradict anyone else or their experience with these
networks.
The biggest confusion has seemed to come from the
term "zeta". As John
Kresovsky describes it in his excellent papers, zeta is simply a
description of the damping of the circuit. Butterworth values in the circuit
give zeta = 1. Zeta less than 1 is an underdamped circuit, with a slight
peaking overlap at or around the crossover frequency. The circuit will
typically be more capacitive as it uses a smaller choke and larger capacitor
than straight Butterworth. Zeta greater than 1 is an overdamped circuit,
with a slightly sagging underlap at or around the crossover frequency. It is
more inductive than Butterworth, using a larger choke and smaller capacitor.
As would be expected, the lower zeta values will give a slightly more than 6
dB/octave rolloff due to the peaking. A zeta of .5 gives a nearly 12
dB/octave rolloff. A zeta .7 is nearly 9 dB/octave rolloff and as zeta goes
up, the rolloff becomes even more gradual. Thus the need for a really beefy
tweeter and a woofer that can play cleanly at the top limit of its range for
high zeta. In my opinion, zeta should not necessarily be the target for the
design. It's the result. The crossover frequency you choose is the most
important consideration. When the right blend of drivers and crossover have
come together, you can then determine what the zeta is.
First, don't do what I did. Research your driver
choices extensively. I already had a woofer and tweeter purchased, and as it
turned out they were not compatible with a first order series crossover at
the frequency I had targeted. This resulted in a nightmare of trial and
error that got me nowhere and I almost gave up. Since I liked the woofer I
had and the tweeter seemed to be the bottleneck, I began to search for
another tweeter. That did the trick. What I recommend is, unless you have
alot of different woofers and tweeters laying around to try, ask questions
and get the impressions of others regarding what's out there. Study the
measurements for the drivers, whether they're your measurements, someone
elses or as a last resort the manufacturer's measurements. Ask for advice or
help if you have to in order to find drivers with well behaved, extended
frequency response.
Once you've determined the drivers you want to try,
figure out the padding to level match the tweeter. This doesn't have to be
exact as this point. You'll tweak this later. Also, design a zobel for the woofer to get it's inductance
neutralized and rising impedance flattened. Now determine where to cross the
drivers. My experience is that the typical, fullrange two way will need to
be crossed between 1800 and 2500 hz for and 8"/1" combo and 2000 to 3500 hz
for a 6"/1" pair.
Next, build a pair of test circuits at each end of
the damping extremes you want to try. Andy's adjustable spreadsheet is very helpful
here, if not absolutely necessary. I build a .7 and 1.2 zeta to start with.
With these two circuits, you have a base to work with that lets you modify
values without throwing off the crossover frequency alot. Remember that
large changes in the cap value will mean a complementary change in the
inductor value to maintain a given crossover frequency. If you increase the
cap you'll need to decrease the choke and vis-versa. Large changes will
affect the damping. Don't get to crazy with this if your amp is sensitive to
highly capacitive or inductive loads. Mine obviously isn't either way as I
got very "creative" at times and didn't blow anything up. This is the
trial-and-error stage that can get pretty repetetive and tedious at times
and takes, seemingly, forever. If you can model these with software, you'll
be ahead of the game. In a given tweaking session, don't make alot of large
changes. This will throw you off, bigtime. Make small changes, no more than
a couple a night and listen. Sometimes for days if necesary before changing
something. I've hit combinations of values that blew me away at first, but
on exteneded listening turned out bad. Sometimes the changes will be very
bad or good and very obvious, sometimes hardly noticable. Now fully tweak
the padding resistor and when you hit on the final crossover you like, get
Andy's spread sheet again an figure the zeta from that. That's really all
there is to it. You have to listen and listen very closely to what you're
doing. Software cannot determine the final crossover, only your ears can.
Here are some general rules to follow. Some are
known already, some are my own insight from experience. I've played with,
all together, four woofers and about five tweeters of varying quality and
have determined it's the drivers and patience that make them work, not
magic.
● Use drivers with as flat and wide bandwidth response
as you can afford or acquire.
● When figuring the cap/choke values, use the total
impedance of the treble section. If you use an 8 ohm tweeter with a 3 ohm
padding resistor, figure for an 11 ohm tweeter.
● Equalize the impedance of the woofer with a
zobel.
● Use a choke with as low a DCR value as you can
afford/find. This is what protects the tweeter.
● A resistor alone in series with the tweeter works
better than a real Lpad. The parallel resistor in the Lpad seems to dull the
dynamics of the tweeter. If the tweeter needs more than half it's resistance
in series to pad, you need a less efficient tweeter.
● Try the LR baffle step comp that Andy discusses on
his website. Put it in the negative (-) return leg of the crossover, after
the woofer, not before it on its positive (+) input. I'm still trying to
figure this one out. It just seems to sound better there. And it does
work.
● Mount the drivers in a vertical line, as close as
possible. Trust me on this one. I'd bet aligning the voice coils of the
drivers would be a plus too, if you can. Otherwise, try reversing the
polarity of the tweeter.
● Lower damping, low zeta circuits have a forward
sounding presentation. Really up-front and in the room sounding. Probably
the more "accurate" sounding in the midrange. Hence the favoring of zeta =
.7 by many who listen to al ot of live music. Higher damping, higher zeta has
a more relaxed, laidback "euphonic" sound to them and seem to work better
with typical commercial and multi-miked recordings. I apparently prefer a
zeta of 1.1 to 1.3, typically. Works good for vinyl reproduction, which is
my primary musical source.
● Don't get stuck on zeta. It closes your mind to the
combination that works best for you drivers, taste and room.
|
You'll know you're close to the right frequency when
the image "locks in". I don't want to sound vague and I don't know how,
exactly to describe it but you'll hear what I mean. It will literally float
between and around the speakers when right.
I'm done. Have fun and happy listening!
That's what this is all about...
(C) 2001 Ken Perkins, All rights
reserved