The Infinite Slope speakers are very good. His approach sequesters the phase misbehaviors to very narrow bands, so they are noticed very little, and the time misbehaviors are managed for least damage
Richard Modafferi, Infinite Slope
designer, did claim that the group delay within the overlap region is
very minimum therefore, at least within this region, the transition
should not be a problem in the time domain. But as you said,
there is still a problem of phase rotation in which the signal at
20KHz will arrive at 360 degree ahead of the signal at say 300Hz.
But the other problem with steep slope is the rapid change in phase
which will be addressed below.
From what I can gather so far,
the high order suffers the following main two things:
1. As
pointed above, phase rotation where high frequencies will arrive
earlier than low frequencies and how much it depends on how the
filter is designed. It could be 270 or 360 or 180 degree or
somewhere in between . At the same time, I am not sure how
sensitive our hearing is to this type of phase shift. Our hearing is not sensitive to the sound delay if this delay is within a few mlli second. For example, at 17KHz, 360 degree would equate to 0.05 milli second. Could our hearing tell of this small delay? I mean with diffraction from the baffle, I would assume sound delay from baffle reflection could be more than 0.05 from various high frequency components. On the other hand, at 500Hz, 360 degree would be 2 mill second which is somewhat close to our hearing threshold. My conclusion is as at higher and higher frequencies, this type of phase shift may not something our hearing is sensitive to. Thankfully, most xover even using higher order filter, do not have this type of phase shift issue at low frequencies. And considering most xover crosses at 3KHz below which more or less covers most of the musical contents. So regardless of xover, most of this type of phase shift will only occur at above 3KHz where our hearing may not be so sensitive.
I have
designed speakers that is first order time-coherent (no phase shift)
and first order NON time-phase coherent. The common denominator here is first order - but one is time coherent but the other in NOT time coherent. The non coherent version has 180 degree phase shift at 20KHz. BUT I had a hard time telling
the difference in the sound quality or the intrinsic type of sound between the two xover types. Although I do prefer the
time-coherent version, but the frequency response and oxver point
between the mid and tweeter are all different between these two
version so I don't if most of the differences come from the
time-coherence or because of different types of voicing. So where do I think the differences come from? I
think most of the differences that we have talked about will be
because of #2 below.
2. All drivers have non-linear distortion
which means the drivers will produce more extra frequencies than the
frequencies putting in at the input. But why would this affect high order
more than first order? I think because of of the rapid phase
shift of steep filter slope, which in turn produces more over-shoot
or more high frequencies energy vs. lower order filter with shallow
phase shift. This extra high frequencies energy when applied to
the non-linear distortion of the drivers, will produce more extra
high frequencies contents that was not part of the original source. This extra high freq. will affect
perception and it is consistent with what I and other (Prof) have
observed that the treble of high order speaker seem to be riding on
to of the music as if it is not part of the music but our mind will
include it as part of the re-construction process. What I said
above also implies that first order filter will suffer from this as
well since it will inevitably have some overshoot (from parasitic such as
drivers coils ...) but not to the same degree. This will also
implies that if quality drivers are used which have low non-linear
distortion, this problem will be minimized even with using high order
filter.
#2 also explains why solid state components cannot produce
treble as well as tubes (I won't try to go into much details), due to
the nature of solid state physics, the electrons movement within the
medium will experience high order filtering affect from parasitic,
impurities and such. With tubes on the other hands, electrons
only have to move in the vacuum from the anode to the cathode without
having to go through any other medium therefore won't be affected by any filtering.
And of course solid state amplifier does not have any xover that can explain the differences.