But doing operations on actual physical 1000V signals is not the same physical operation as on a 3.3V on/off discrete digitization of the REPRESENTATION of the 1000V signal.
Right. But I have no clue why you want someone to study DSP's in order to reach this conclusion--it's already obvious.
However, there are two possibilities with your simulation (as well as more, but I'll just focus on the two). One possibility is that your simulation using 3.3V told you about the 1000V system. The other is that it did not.
Keeping in mind that
both the 3.3V system and the 1000V system are physical systems, the issue is
not whether the 3.3V system is "real" or not. It is indeed real, in
both of the possible cases above.
The issue, instead, is how well the 3.3V physical system's behaviors correlates to the 1000V physical system's behaviors given a particular mapping. In this case, it seemed to correlate perfectly well for your purposes, which means that any of the entities in the physical 3.3V system along with the transformations you performed on them probably mapped correctly to the entities in the 1000V system and the transformations they should have correlated to (it's still possible that the 1000V system worked perfectly, and your simulation didn't map to it, but you just lucked up). In this case, the behavior of the corresponding entities in the 3.3V system would have been the same as the behavior of the entities in the 1000V system.
That's not to say that the 3.3V system's entities actually
were the 1000V entities. They just behaved in the same way, using a similarity metric limited to the scope of the simulation (namely, the mapping from the 3.3V system to the 1000V system).
There are multiple reasons why I want to use this language. One reason is that we have one "side" of this debate that is fundamentally misunderstanding, and misrepresenting, and even going so far as to refuse to acknowledge when corrected, what the other "side" of the debate is really saying. Another reason is that we have this silly continual artificial yet meaningless division between "real" and "imaginary" things, "subjective" and "objective" things, and so on, which supposedly are supposed to clear something up.
But we're winding up floating further and further away, as if our brains have a special property nothing else has, which is the ability to have "imaginary" things that are not "physical", the ability to "interpret" which "objective" things cannot possibly have since they could be interpreted infinitely number of ways (and physics is only made of "objective" things), and so on. By all rights, then, if I take this to its logical extreme, we shouldn't be able to imagine, we shouldn't have subjective views, and we shouldn't be able to mean anything when we make claims--much less run a simulation that's supposed to be about a system--because, we're physical! Ergo, we're objective. Ergo, we just don't have the stuff to generate these things.
But we do.
So someone's wrong.