jonetsu@teksavvy.com <jonetsu@teksavvy.com> schrieb am Di., 24. Nov. 2015 um 15:29 Uhr:

On Mon, 23 Nov 2015 17:28:02 -0500
Paul Davis <paul@linuxaudiosystems.com> wrote:

> 2) Nyquist's theorem proves (and note that I said *proves*, not
> "asserts") that sampling at a given sample rate provides enough data
> to reconstruct **PERFECTLY** any signal made up frequencies up to the
> sample rate divided by two.

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.