Originally Posted by Hudson
Theoretically yes, assuming you had a perfect reconstruction filter.
With the 22KHz example represented by just 2 samples.
I am sure you could get rid of the steps and make it 'nice and smooth', thats easy, but I'm not sure how it is possible for the resultant waveform to accurately represent the origional.
For example if the two sample points are away from the peaks of the sine wave, how could you possibly know what the amplitude of the peaks was? This information just isn't there any more. I'm not an expert in signal processing but I can't get my head around how you could know this by taking just two samples for each wavelength.
So in the real world what sort of reproduction of the original 22KHz wave can you get? I don't know but for the reasons I give above I cannot believe it will be that accurate. I am sure there are experts on here that can answer this?