On Tue, Nov 24, 2015 at 10:20 AM, Felix Homann <linuxaudio@showlabor.de> wrote:

Here's a question that might help your understanding a bit:

For a given set of samples, how many possible signals (waveforms) do exist that
1. are made up of sinusoids with frequencies up to the sample rate divided by two, and
2. pass through all the sample points?

Answer: One.

That is excellent. It is also the missing piece in Monty's presentation. Whenever he gets to that part, I know I always have the gut feeling "there are any number of possible waveforms I could draw that satisfy those two requirements". But the gut feeling is wrong, and the correct answer ("one") is deeply significant. Thanks for making this so clear.