that clearly show that a digitized system can carry within it relative timing information that is well beyond the sample rate. The whole premise of the article is that the timing is limited to the sample rate. That is false. That makes the whole premise of the article also false.
not so fast.
the limit, mathematically... is ..fairly high
The real world of jitter, quantization noise, dither, etc, decreases that quite drastically. The idea of micro temporal differentiation across channels hits the intrinsic limits of the real world 16/44 rather quickly.
As one tries to ’draw’ or ’write’ that micro differential that is above 1/ 22,000 of a second..., it’s capacity to express itself brickwalls on the capacity of the system to micro-resolve signal.
One might say that the noise floor and distortion limits of not just one but both channels together (in excess of 2x distortion, ie, two channels in action, together) begin to be expressed as inter channel timing limits...
So it is nowhere close to being as the mathematics make it out to be.
We also know that noise floor... it wanders all over the place, is signal dependent, and each channel is different. So yeah, well over 2x distortion in the inter channel temporal domain. And a few other problems, not really all that well addressed in the real world.
We hear it in the given dac as indistinct and hazy imaging spread/smear. Especially under complex loading. Not so much a problem with simpler signals. When the song gets busy the worst of the given dacs --get hazy, bright, congested, etc..
The math says nice things. The real world says it is dog poo.
the article tells you why this is all so important. Eg, the MSB range of fine limits means the micro expression amplitude perfection which the ear is built on and out of...is not possible in a peak situation of micro timing differential in an actual 16/44 dac.
Yet, it is by the peaks that we recognize these differences and this is the part where the dac falls down. So, not just the noise floor limits for the body of the signal (complex mid to high level harmonics) but the inability of the MSB area of dac signal expression to subdivide fine enough.
One might even say that delta-sigma was an attempt to fix this problem but was executed so poorly that it sounded worse than R2R.