Again, more bullshit from the math professors.
Look, it's pretty clear now that you don't understand basic signal processing, but that's no reason to become aggressive.
ALL digital sampling systems only provide you with a presentation of the data that is an approximation of the actual signal. The more data points you have in a given time period, the better that approximation will be. I don't understand why people don't get this.
*Any* scope only provides you with an approximation of the actual signal, even the analog scopes which is probably with what you spent most of your 40 years "experience" on.
The key is to know how a specific instrument impacts the measurement.
If you have a digital camera, more pixels is better
No, it's not. As others explained more pixels are useless if the optical path limits the physical resolution. There are tons of high MPx cameras out there who take shit pictures because they only have a crappy plastic lens.
When I use a 'scope to look at a signal in the real world (as opposed to the dreamy Utopian academic world), I'm needing to look at the signal because there might be something there that I'm not expecting. If the signal does not look like it's supposed to, then I need to take action to correct the problem, which might be any number of things. Mathematical reconstruction algorithms (and I have used them too) only work well when you know in advance what the signal is supposed to look like. When we are debugging a design, we don't know in advance what the signal will look like, especially if the circuit is misbehaving. So, in this case, it's not a matter of applying a mathematical model to reconstruct the signal from a limited data set. It's a matter of having an overwhelming amount of sample points such that reconstruction of the signal is not necessary other than perhaps a small amount of sin(x)/x smoothing for "nice looking" interpolation between data points. More samples per horizontal division equals a better idea of what's really going on at the probe tip.
No, it doesn't.
Besides, signal theory isn't just an abstract thing, it's how the real world works, and basic knowledge for every engineer who works with any kind of signal processing. Fending it off as "bullshit" is stupid and only highlights your ignorance.
So, you are not impressing me with your academic view of a real-world problem, especially when empirically derived data does not match with your theoretical nonsense. And worse yet, you are fooling younger players into believing that their 500MHz 'scope will be able to see a 500MHz signal with astounding detail.
Frankly, the real world gives a shit if you're impressed or not, facts and realities are not going away just because you put fingers in your ear to avoid getting confronted with it.
I have to say it's actually quite shocking to see someone who claims to be an engineer being so hostile to what really is basic knowledge for any EE these days. To some extend I understand that this isn't necessarily something that was taught 40 years ago, but a good engineer doesn't stop stop learning after graduation.
You'd be well advised to heed some of the advice that was given, and get a better understanding with the basic principles that make DSOs work. Your understanding of what you're measuring will improve as well. A lot.
I don't know.... Kids these days ...
Yeah, stupid kids. All young and dumb, right?
FYI, many of the posters here are
a lot closer to retirement than graduation, and that includes me. Which shows you don't have to be young to understand signal processing.