[music-dsp] Waveform Interpolation
Peter Schoffhauzer
scoofy at inf.elte.hu
Thu Dec 9 08:07:03 EST 2010
andy butler wrote:
>> I too see all interpolation as filtering.
>
> I don't see how polynomial interpolation a filter, is it?
The same way - it reduces/attenuates the alias images inherently present
in the digital signal. Olli described this in his long post in other
words. By definition, a digital sampled signal contains alias images up
to infinity - the spectrum up to Nyquist is infinitely repeated above
Nyquist, creating the alias images. I repeat, this comes directly from
digital sampling, and any unfiltered digital signal played back at any
frequency will contain these alias images. This is what you hear when
you zero-order resample a signal, but these artifacts are not created by
resampling - they're inherently present in the digital signal. Normally
you don't hear that because your sound card's D/A interpolates the
signal. Either linear, polynomial or other interpolation will
attenuate/reduce/filter these alias images. Actually, that's the point
of interpolation...
- Peter
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