[music-dsp] interpolation

Olli Niemitalo oniemita at mail.student.oulu.fi
Sun Aug 13 12:56:52 EDT 2000


On Sun, 13 Aug 2000, Bram de Jong wrote:

> the thing I remember best from this thesis is that the Lagrange
> interpollator is just a windowed version of the sinc-interpollator (as
> proven by Valimaki and others). I think this is an interesting point:
> maybe some of the other ones (spline, B-Spline, ..) are just windowed
> versions too!! Might be worth looking into.

Yes, they are. Any interpolator that preserves the original samplepoints
(and hence has an impulse response with zero crossings at the same
positions as sinc) can be thought of as a windowed sinc interpolator, and
the windwing function can be found by division of the impulse response by 
sinc.

-olli


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