Basic technical question about digital source signals


Forgive if this is a stupid question, but the current thread about digital vs analog made me curious: if you look at an analog music signal you see (I think) summations of sine waves i.e. a signal waveform which is "smooth". I realize that there are many contributions to digital sound, but starting with the most basic, if you look at the output from a digital source e.g. on an oscilloscope, would it appear "smooth" i.e. has all the stairstepping that occurs when you convert digital to analog been smoothed out or would the signal appear jagged to some extent?

Thanks for your time.
berner99
I think there would have to be a "theory of digital audio" at least on reconstruction to break it.


Of course, it also presumes that the subsequent filters are linear.
itsjustme260 posts11-16-2020 9:13am
such a design decision breaks the theory of digital audio.
Not really, it presumes that subsequent filters (mechanical limits in your speakers and your ear, which respond per F=MA; inherent limits in subsequent components) achieve he filtering. There will be no aliasing after the DAC. Yes, there could be HF noise residue; but hearing is highly attenuated above 22 kHz (if present at all) anyway.

Read about Nyquist’s theorem.

Today’s samplers are even higher. Philips (and others) made a study of this during the 70s before the first CD’s were defined and introduced, and used thousands of people in listening experiments to reach a conclusion. No human can tell the difference between a properly sampled and then smoothed signal than an analog one. When the first CDs were introduced, neither the recording nor the playback equipment was as accurate as today. But in the past 10 years or so, the accuracy of ADCs and DACs have improved to an incredible point where noone will be able to tell the difference from the analog signal.

Extremely accurate instrumentation MAY be able to show a difference at a level hundreds of times more sensitive than the human ear. But that is a moot point since 99.9% of the humans will not be able to detect even one tenth of that difference.

Some on this thread will not accept what I am saying. They fall into that 0.1% category or are from another planet :-)



I don't think that is relevant to the discussion or that anyone was questioning what digital can or cannot do, though there was a side discussion on NOS DACs.
The relevance comes from the fact that the infinitesimally small jaggednesses that any instrumentation can see, if any, is irrelevant to the human ear.

In what context, with or without the reconstruction filter. Given there are implementations without one, you can't assume it will be there.