That is not true. See the definition of analog data and
digital data.
The definitions according to yourself and your
selected "authorities"? Yet again? How about some
reasoning, instead, for a change?
See Shannon, "A Mathematical Theory of Communication,"
section V (27). Have someone help you with the big words,
as needed. When you're finished, find us an example of
a noiseless channel, and demonstrate to us what you're
saying.
Shannon discussed the theory of digital channels with
and without noise.
Shannon never used the word "digital," though, and used
the term "bits" simply because that is the commonly-used
unit of information (in ANY system), per information and
communications theory as it was established at the time
(and is still in use today). Given that you've admitted to
not being an authority in the field, I wouldn't expect that
you understood that before, so I'm more than happy to
give you this chance to learn. You're welcome.
He defined it as "a discrete channel
will mean a system whereby a sequence of choices from a
finite set ... can be transmitted ..."
Right - he defined a DISCRETE channel. The only
tie between "discrete" and "digital" appears to exist solely
in your own mind, since your cherished definitions of
"quantized" also unfortunately neglect to use the word
"digital" at any time. Shannon did NOT refer to either
"digital" or "analog" channels at all.
He then discussed the theory of analog channels, which
began with, "We now consider the case where the
signals or the messages or both are continuously
variable, in contrast with the discrete nature assumed
heretofore."
Wrong again. He discussed the theory of CONTINUOUS
channels, which is how they are consistently referenced in
his paper. In fact, the term "analog/analogue" does not appear
even once in Shannon's paper. "Analogous" appears a grand
total of six times, each time with the clearly-accepted meaning
of "similar to," as opposed to refering to any specific class of
signals. Similarly, "digital" does not appear at all. Shannon
correctly did not make any distinction between "analog" and
"digital" encoding in terms of information capacity or content,
as his theorems apply to any and all systems.
Clearly his definitions were consistent with those that
have been cited. Of course that again is just another
horrible appeal to authority... ;-)
Or it would have been, had Shannon actually provided
any such definitions. Too bad he didn't.
Bob M.