[Mxsmanic]

Arny Krueger writes:

Not true. The quality of the digital representation can always be improved
on with more, larger samples. There are only practical limits to this.

For any given depth, sampling rate, and phase, there is only one optimal
digital representation of a given waveform.

The error here is the idea that an analog signal needs to be represented by
an infinite number of points.

Some analog signals can be represented by a finite number of samples, but not
all. White noise cannot be represented in this way, because every point in the
waveform is random.