You are mistaken. What the ear perceives is the difference between the highest and the lowest pressure, around a reference which is the athmospheric pressure. The pressure "swing" is 64k, and the minimum valid swing is 1. Do the math. Whether the scale is from -32k to +32k or from 1 to 64k, or whatever reference is chosen doesn't change this.
That is not how we measure SNR.
But if you insist, please encode a -96dB sinewave at 1kHz into 16Bit PCM, no DC offset, no dither.
Then after having failed, encode the smallest signal that you can actually represent.
Case closed.
Again, speculative. Where have you seen a speaker that's significantly directional at primary room modes and suitable for domestic use?
MEG RL901k.
Kii III
Shivaudio Cardioid Studio Monitor (From Romania)
Quad ESL
Dutch & Dutch 8C
At 130+ kg and $100+k
, it hardly qualifies as a speaker "that can be easily placed in normal living environments".
It is a technology demonstrator.
Plus, if you call that expensive and not suited for normal living environments I would consider that your poverty is severe. It would look swell in my living area.
An 18 Channel DSP and 18-Channel stereo digital input Amplifier system (20W PCh) can be realised for around 70 USD BOM. That is for a stereo pair.
Drivers in (say) 3" for mid/hi and 5" for LF are inexpensive in volume, especially if we mold the case with the frame molded in and add magnets and voice-coil/diaphragm to this.
Yes, nobody has seen it desirable to develop such a system, but is not due to feasibility or even market potential, but down to the fact that 99% of anything consumer that is sold these days is OEM/ODM in china with no actual development being done, but everyone copying everything.
How will you prevent soundwaves to bounce on walls, ceiling and floor? That is the main reason why acoustic treatment is applied.
We need to consider what we require to allow the listener to hear the recording, not the room. We do not need to boost direct sound a lot compared to the room reverbrant field for it to dominate what is heard.
Floor, ceiling and early reflections from sidewalls can be dealt with using correct directivity. We can reduce the reflected sound from these substantially in SPL, promoting direct sound.
The wall behind the listener will reflect sound it receives, as this will be comparably directional, the majority of the sound will be reflected towards the sidewall, from where it is reflected toward the front wall between the speakers from where in turn it is reflected towards the correct sidewall, from where it will reach the listener substantially attenuated, diffused and delayed. As a result it doesn't audibly interfere with the direct sound.
Do we have a chance to actually hear such a system?
Absolutely.
If you would actually keep up with the state of the art, you would know several such systems that are easily auditioned.
You claim having made, designed or projected many extraordinary things, but some kind of tangible proof would bring some credibility.
Many of the more interesting items ended up as prototypes and were not put into production. Others were custom one offs. I do not intend to provide advertising for products I designed here.
Something interesting that is quite unusual and should interest you is this:
iFi Aurora Review: This Modern Art Piece Is Also A Killer Wireless Audio System
It can be auditioned last I looked at Harrods among others.
Note I do not endorse the product or the company, but it is something I have designed that made it into mass production.
Any x-over is a band aid for speakers that cannot properly reproduce the whole audio range,
Do you have any of them at hand?
I don't really understand what you suggest, but the thing is that digital x-overs allow almost instant comparison of several types of x-over transfer functions, the rest of the system staying the same (3-way+subs), which is the essence of scientific experimentation, change only one parameter at a time.
Yes, however you are not just testing the crossover in isolation. You are testing the crossover in conjunction with drivers.
Sum the signal back after the crossover. Any difference will be solely down to the crossover, no other interactions.
Using a high grade planar or electrostatic headphone for listening is recommended. Few speakers exist that are sufficiently full range and phase coherent to allow this test to be valid. Quag ESL may qualify in a well arranged room.
And if you find that LR4 is preferrable to BW3 in a specific system, why not try an EL10 as further option?
We had a large choice of B'worth, Bessel, Linkwitz-Riley, we even tried the Hardman types (elliptic) and the Linear Phase (meh).
Hardman does not seem to offer very steep slopes. In fact, it may be worse than LR4 and definitely worse than BW5.
Try a variation that produces a slope more like this:
In the actual crossover region it is a 60dB/8ve slope.
This is incidentally from a passive 2-Way speaker realised as passive LRC circuit driving real drivers.
The Speaker sold out a 500 Pair run, not bad for something that at the end sold at 20k per pair for a standmount.
HiFi+: LS-77 Review
But a B'worth 3 will not compare to an LR4.
No, you are right. Utterly incomparable
In a direct comparison of the crossover only, in isolation BW3 is least objectionable and the one that has the least audibility, compared to LR2, LR4, LR8, with LR4/8 being classed as seriously objectionable.
BTW, if you want a bit of background what I did and developed before taking a long break and semi-retiring in South East Asia by the beach, following a massive burnout, read here:
The Show Must Go On
Thor