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Nonuniqueness of superresolution techniques applied to sampled data

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Abstract

It is demonstrated that, given a finite number of samples of a function, the constraints of square integrability and band limitation are not sufficient to determine that function uniquely. Hence existing algorithms for band-limited interpolation and extrapolation (e.g., for super resolution) require additional constraints such as those provided by an appropriate model.

© 1981 Optical Society of America

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