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Jun 12, 2012 at 19:36 comment added Graeme I'm imagining a sequence of polynomial interpolators that are each active on a short range of samples. So, as a batch of new samples comes in, you'd construct an interpolator that's only active in a defined interval. Your continuous-time approximation to the sampled signal consists of these polynomials. (I'm thinking Lagrange, but Chebyshev is probably the same thing. I don't recall if Chebyshev interpolators match the sample points exactly. If not, you'd get discontinuities when switching between interpolators.)
Jun 12, 2012 at 18:49 comment added endolith To clarify, #3 is not just oversampling with interpolation, it's finding parameters of a continuous Chebyshev polynomial that fits the sampled points and then working with those parameters and a model of the polynomial?
Jun 12, 2012 at 16:22 history answered Graeme CC BY-SA 3.0