The transducer properties will render this impossible. Turning a signal into soundwaves, it not a mathematical process. You can only approximate the electrical signal and choose which alterations are acceptable.
I should have said match acoustical to electrical as closely as possible, not exactly. I guess I was over emphasizing the goal of what I think speaker design should be.
That said, I find it amazing, how very close acoustic can be made to match electrical to a particular measurement spot...again with today's multi-way DSP capabilities.
Phase and time alignment at one single point does not necessarily help, it has to be even over a greater window both for direct sound and early reflections.
Yes, just as excellent on-axis regular frequency response needs to extend to smooth off-axis performance, good spins if you will,..... phase and time alignment need to also extend smoothly similarly.
This is the hardest piece of technical excellence to achieve that I've encountered with my DIYs, owing to simple geometry of multiple driver sections changing their relative distances under rotation, to the mic/listener.
Of all the traditional arguments against bothering with time and phase alignment, I think the difficulty of achieving it over a spatial area, is about the only one with real merit.
The best solution I've found so far, is to determining a reference axis to tune to, that provides the least mag and phase variation over the spatial area deemed to be the primary objective. I use the 2034 listening window as the spatial range in which to determine a 'least variation' tuning reference axis.
A near perfect mag and phase tuning to that chosen reference axis, has provided pretty good time and phase alignment over the full listening window.
This is a typical example of what I've come to expect over a +/- 30 deg window with my DIY synergy/meh mains.
A few speakers can come pretty close to that, if they employ DSP x-over, FIR filters with a linear-phase mode, and sufficiently large drivers/low crossover points. They are around for something like 20 years. Encourage everyone to listen to such a unit, if possible switching to minimum phase mode. Differences are not huge, most obvious in the lower bass with artificial sounds like EDM. Interestingly these bass differences survive even horrendous room-induced alterations in a listening test, according to my experience.
Yep. The diy's I build utilize FIR in linear-phase mode. One of syn/meh's most appealing features is how they minimize the center-to-center distances between driver sections, to help reduce changing relative distances under rotation. All driver summations are designed to occur within 1/4 wavelength of each other, something virtually impossible with conventional designs.
Add in lin-phase FIR crossovers to mix, and it's pretty easy to place crossover points anywhere needed for best polars, without sonic penalty, even in ear-sensitive frequency ranges..
I second your encouragement to switch between minimum phase mode and linear-phase mode, if they encounter a speaker set up to do both. (and I do not mean a comparison where linear-phase flattening is applied to an entire speaker already set up; I mean one tuned from ground up, driver section by driver section. Make the best tunings one can, both lin-phase and min-phase, and compare those. The spatial variance issue makes a linear-phase overlay on top of the entire speaker bogus ime...it works perfectly in 1D electric space, but not so in 3D acoustic space) ...Sorry, I digress.
I routine compare low-order minimum phase tuning to linear phase tunings. I agree, differences in lower bass differences are not huge, other than on occasional tracks that just pop-out. Tactile feel seems to favor lin-phase, but again, not aways.