Brent Hilpert wrote:
In the case of V.32 and such, the raw signal is by
intention a
continuously
varying (analog) signal (the carrier), done for the
sake of making it
through
the transmission medium. In this it is different from
the other
signals being
discussed.
In terms of modulation complexity, yes.
However, once you analyse the AC characteristics of
that signal
(demodulation),
you find it is quantised - in that AC context - in
that there are a
finite number
of discrete AC amplitude levels and a finite number of
discrete phase
relations
At the transmit end. Not by the time it goes through the phone system
(including parts of the modems such as the hybrid). Just as I've been
saying about magnetic disk, the channel changes the nature of the signal
dramatically, such that it is actually extremely difficult to quantize
it correctly at the receiving end.
(which together produce the dibits or whatever they
are called for
multi-bit bauds).
Symbols (information-theoretic) or constellation points (modulation
terminology).
Without meaning to put words in your mouth, I get the
feeling you
don't consider
the signal quantized until it is cleaned up and in a
form acceptable
to the receiving
system (appropriate voltage levels and synced to
internal clocks).
Yes. For amplitude quantization, if the transmitter and channel can
guarantee (for example) that a signal is always under 0.8V for a zero
and over 2.0V for a one, at the receiving end, then it is already
quantized. If any non-trivial processing is necessary to recover what
the transmit amplitude was, then the signal was not amplitude-quantized
prior to that processing.
In the time domain, if the transmitter and channel can provide the
receiver with a simple unambiguous indication of the correct times to
sample the data, it is time quantized. If any non-trivial processing is
necessary to recover that timing information, then the signal is not
time-quantized prior to that processing.
In contrast, I consider it quantized if discrete
information is
represented in the
signal in discernible 'chunks' (quanta), be
they amplitude chunks,
time chunks,
or both - it is a property of the signal, without any
need for
consideration of the
receiving system.
I would only say that that indicates that there is encoded digital data
present, but not that it is quantized at the point where it is
received. It is the job of the receiver to quantize it back into the
original digital data.
The size of a given chunk may vary with
noise/perturbations/fluctuations/deformation
to the signal, but none of those - within limits - are
sufficient to
de-quantize the signal
(to ref Dave's reply).
If there were hard, quantifiable limits, I might agree with you.
However, that's not how it works. For timing of magnetic disk flux
transitions, and for all aspects of V.32 modulation, as you get further
from the optimal conditions, there isn't an abrupt
transition from a
point where the signal was a 0 to a point where the signal was a
1.
There is a considerable overlap region of uncertainty. When the system
is working well, the signal doesn't spend much time in that region.
Any physical implementation of a discrete system will
have noise and
signal
deformation, even TTL signals.
Of course. With TTL signals, there are known simple design criteria
which can be used to ensure that the signals make it from the driver to
the receiver without violating the limits on logic level margins and
without significant timing distortion. With magnetic media and with
V.32 modulation, the same cannot be said.
Sending data to an external medium may mean a loss of
reference
(sometimes
necessitating the addition of self-referencing info),
that still
doesn't disqualify
the signal as being quantized.
I guess we'll have to agree to disagree on that. In my opinion, if it
is quantized, there is a trivial and entirely unambiguous interpretation
of the signal, and with complex modulations and noisy channels, that
clearly isn't the case.
I know that the modem engineers I worked with did not consider the
analog signal arriving at the ADC in the modem to be quantized. They
only considered the data to be quantized after they sampled the ADC,
hilbert-transformed it with digital filters, and had a carrier tracking
loop determine the times to sample the result of the filters. Before
that point, it was considered a noisy, non-quantized signal.