I would love for you to show me one 16 bit digitizer that has 16 effective bits.
A common Creative Audigy 2 series PCI soundcard, achieves 94-95dB SNR with no problem in 16 bit recording and playback modes. Search for reviews and 3rd party measurments. This is not exactly a cutting edge product, either.
Audio signals do have fast, large transients. All significant phase shifts in a waveform are not perfectly reproduced. IE, @ 18KHz, if the content has a 180 deg phase shift, that effectively doubles the frequency, this causes a duplicate "reflection" on the other side of nyquist.
And when such transient signal has data that is beyond what is relevant, audibly, the ultrasonic data has no use and may be discarded.
As for phase response, the audibilty of high frequency phase shift as would be induced by a low-pass filter required for RBCD was considered and tested in both the established JAES standard
[1] and by other parties
[2] and found to be unimportant for purposes of audibility. Your issues with time domain signal distortion are also covered in the Dan Lavry paper to which I referred in the last post.
The anti-alias filter does not have the ability to remove all of these transients without significantly deteriorating the signal at and around nyqiust. Therefore the sample rate is not adequate.
The phase distortion in this band is unimportant.
[1] [2]
The anti-alias filter of the CD player tries remove these transitions, it sees them as errors because the frequency is out of band, when in actuality it is actually part of the music. How can a filter smooth out the steps?
The 'steps' are ultransonic content, that is not a product of any recorded music, but a byproduct of the digital to analog conversion. All that is required to remove such is a sufficient low-pass filter. Refer to the Dan Lavry paper, if this is not clear.
All it is doing is integrating the waveform. IF you take a complex waveform (that has freq content higher than nyquist) and digitize it 10 times, depending on the start time of the digitization you will have 10 different answers.
How so? Any proper audio digitazation system has anti-alias filter before sampling the analog data. The system will only record the frequencies within the band supported by the sample rate as a consequence, thus avoiding the aliasing artifacts that you imply will exist.
I believe people have been saying that since digital music came out. Just like the Tube VS Transistor argument. Tubes are slower, they dont reproduce everything as well as transistors do. Hence you get an integration of the signal. These digitizer errors, because of the sample rate, cause other fast sharp transients in the waveform that can be heard, some call it harsh
People have also been saying that ghosts exist, or alien abductions. Why should I(or you) believe them in lack of substantial evidence? Where is the proof of audible artifacts you claim exist with any digital reproduction system?
Again a 1KHz sinewave. Put a complex signal in near and above nyquist, you will see tons of distortion.
Sure, if the device does not have the required anti-alliasing filters, it will produce all sorts of spurious high frequency artifacts. But this is not how the majority of equipment is produced.
I would love to make the measurements, unfortunately this is not something you can perform with a cw source, setting up to take the measurements properly would take a great deal of time and effort. Any help would be appreciated. I have all of the equipment necessary.
Since this is supposedly a simple matter, then just refer to a credible study of another demonstrating these artifacts to be an issue, and thus audibly effecting a properly operating digital reproduction chain as confirmed with coorelated perceptual testing.
-Chris
[1]
Which Bandwidth Is Necessary for Optimal Sound Transmission?
G. PLENGE, H. JAKUBOWSKI, AND P. SCHONE
JAES, Volume 28 Number 3 pp. 114-119; March 1980
[2]
Perception of Phase Distortion in Anti-Alias Filters
Preis, D.; Bloom, P. J.
AES Preprint: 2008