Hugh Robjohns wrote:No, nothing is lost at all... and this is a fundamental aspect of sampling theory that eludes many people.
Indeed, this is what most people have hard time getting! I blame these pictures in introductions to sampling, where a crude ladder of levels is shown superimposed to a nice smooth curve. In these pics there's lot of information loss obviously, as the sampling rate is super low. People remember that and think "hey there's always gonna be some small error".
It's a bit like the infamous model of an atom as little solar system... great to remember, "right" within a very narrow meaning and totally misleading as a model of the actual thing!
Perhaps it would probably be better to just start these intros with "a discrete space can preserve all the information carried by an continuous space" and then follow with what "can" means..