Minimum norm reconstruction of band-limited function from regularly or irregularly spaced samples

Duncan J. Wingham · Electronics Letters · 1989

A technique is described for reconstructing a band-limited function from samples given at arbitrary locations on a finite interval. The method coincides with the Nyquist-Shannon interpolation formula when the samples are regularly spaced. Improvements over alternative techniques are illustrated. It is shown that the method gives the best possible reconstruction in the least-squares sense.

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