bhaagensen;694457 Wrote: 
> Its not that I'm questioning Nyquist - but its a *mathamatical* theory
> involving the concept of infiniteness - in particular the
> reconstruction theorem involves an infinite sum.

I also think this is the weakest spot in the argumentation of the
paper.
While in theory with Nyquist I can reconstruct the waveform with the
lower bound of samples (i.e. 2x frequency) perfectly, I need infinite
sums for it - so speaking in algorithms: I cannot compute it in
reasonable time.

So what is done in DACs is to approximate the original waveform with as
much sums as possible in a given timeframe.

Let's say for proper playback I can do 100calculations (take whatever
number you like) in 1ms.
Based on 100 calculations: can I get a better approximation of the
original waveform if I have 100 samples or 200 samples ?

Reading Wikipedia articles about Nyquist doesn't give me an answer for
that.
But that's the central question that needs to be answered, not if
Nyquist in theory can reproduce a waveform with a given number of
samples.


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