William Sommerwerck writes:
> All right... Explain the difference between digital and analog. I've asked
> the members of this group to do this several times, and none has ever gotten
> it correct.
There are several ways of looking at the difference.
An analog representation of a tree is a drawing. A digital representation of a
tree is the word "tree."
The analog representation of a tree has the advantage of being simple, and
since it is a direct physical model of a tree, it can be interpreted correctly
even by someone who has never seen a tree.
The digital representation is more complex, because it uses symbols that have
no intrinsic meaning. For correct interpretation, the person seeing the word
"tree" must know English and be able to read, and he must have already seen a
tree.
If a drawing of a tree (an analog representation) is copied, the copy will not
be identical to the original drawing. Each additional generation of copying
will produce a drawing that looks less and less like the original. Eventually,
the drawing will be uselessly unrecognizable. A similar problem occurs when
the drawing is transmitted somewhere, as by fax, for example. At the other end
of the transmission, the drawing isn't identical to the original. Eventually,
in both cases, noise and distortion destroy the original "signal" completely.
The word "tree" (a digital representation) can be copied and transmitted
indefinitely, and there will be no loss of information as long as the letters
T-R-E-E are still recognizable. It's easy to "regenerate the signal" and
maintain the information forever, so the digital representation can be copied
and transmitted with zero loss.
Digital ultimately works by setting an arbitrary threshold between what is
considered signal and what is considered noise. Anything in the channel below
the threshold is treated as noise and ignored. Anything in the channel above
the threshold is treated as signal. As long as the actual noise in the channel
is below the threshold, the digital data can be copied and transmitted forever
without loss. Thus, as long as the letters of the word "tree" are undistorted
enough to be recognizable as letters, the signal is above the threshold and
there is no loss. If the noise level rises so much that it distorts the
letters beyond recognition, there is a sudden, total loss of information.
Analog makes no distinction between signal and noise. Any noise in the channel
is treated as part of the signal, and since noise-free channels don't exist in
the real world, this means that any copying or transmission of an analog
signal introduces errors that cannot be detected, removed, or corrected. The
signal inevitably degrades. However, analog does have the advantage of being
able to use all the available bandwidth, whereas digital sacrifices some
bandwidth with its arbitrary threshold. Thus, in a low-noise channel, analog
can perform better than digital when digital has its threshold set way above
the actual noise.
A noise-free analog channel can carry an infinite amount of information at
infinite speed. A noise-free digital channel cannot, because the arbitrary
noise threshold sets an upper limit on information-carrying capacity. However,
since all channels are noisy in the real world, it turns out that analog
actually tends to perform worse than digital over the long term.
Digital transmission also requires encoding and decoding, whereas analog does
not. A drawing of a tree is recognizable even to someone who has never seen a
tree. The very analog representation itself provides much of the information
needed for interpretation. But digital data streams are nothing more than
symbols. In order to understand a digital data stream, both sender and
receiver must agree in advance on an encoding scheme that assigns a constant
meaning to the symbols used in the stream.
For example, an extraterrestrial looking at an LP might reason that the wavy
grooves on the LP are an analog of varying pressure waves in an atmosphere.
But an ET looking at a CD just sees a string of binary digits, and without
some key to the encoding of information in those digits, he has no way of
figuring out what they represent.
That's why we can understand cave drawings done thousands of years ago (analog
representations), but we can't always decipher written languages once the
speakers of those languages are dead (digital representations).
Another example of analog vs. digital is paintings vs. books. We have very few
usable images from the distant past because drawings and paintings are analog
representations that cannot be copied or transmitted without deterioration.
Over time, all images crumble into dust. But we have the written word (e.g.,
the Bible) that has survived for thousands of years because it is a digital
representation, and can be copied or transmitted without error. So we don't
have any decent pictures of ordinary ancient Romans, but we still have what
they wrote.
These are a few illustrations of the differences between digital and analog
(although they are really different sides of the same coin). In my experience,
most people have difficulty grasping these concepts, particularly those of the
digital domain.