A very good ENGINEERING explanation of why analog can not be as good as digital..

And to all vinylistas, who highlight the "shortcomings" of sampling, do you think that the small groove of a record is large enough to be able to store all frequencies from 20 - 20 khz, not to mention the relative intensities, ie the dynamic range.  You think all that information is FAITHFULLY written into 20 - 25 micro meters (typical width of a groove for 33rpm vinyl).  No way, since it is limited by PHYSICAL SPACE.

With digital, there is no limit, all you need is a bigger disk.  One can sample at higher frequencies as well as amplitudes.  The typical 16 bit deep CD can store 65k different ranges.  Increase that to 32 bits, and it will be 4 billion.

As I said before, I also DO like listening (I should say looking at) to vinyl but not because it sounds better but because it LOOKS better :-)

On a more practical level, vinylistas don’t seem to care that most current lp issuues Of Classic albums use digital masters, due to the sticky tape phenomenon.  Vinyl bigots like Fremer and Dudley were embarrassingly silent on this after touting many of these releases only to have the remastering engineers spill the beans.  So if they prefer lps made from corrupt digital discontnous sampled waveforms, that preference must be based upon something completely unrelated to that waveform 

kijanki

This theorem only states that you can recover continuous signal by sampling at least two times per period. It does not say you can do that when waveform constantly changes

Actually, that’s exactly what the Fourier Transform addresses and proves - the transient need only to fall within the bandwidth of the system. It’s why digital audio works.

Again, I’m very much an analog guy. But to claim the digital audio isn’t continuous like analog is misunderstanding how digital audio works. It has problems, but non-existent stairsteps aren’t part of them.

..the transient need only to fall within the bandwidth of the system. It’s why digital audio works.

For any signal to be perfectly band limited it would have to extend infinitely in time.  There are many other shortcomings like less than perfect brickwall filters with uneven group delays, jitter in A/D or D/A conversion etc. 

kijank

For any signal to be perfectly band limited it would have to extend infinitely in time.

I’m not sure what this means, but nothing is perfect.

There are many other shortcomings like less than perfect brickwall filters with uneven group delays, jitter in A/D or D/A conversion

Agreed, of course. Digital audio is not perfect. However, the notion that it is not continuous, and is comprised of "stair-step" signals, is a misnomer. It is a false claim and that can be proven visually, as in the video that I linked, as well as mathematically.