Nonuniqueness of superresolution techniques applied to sampled data
- 1 November 1981
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 71 (11) , 1406-1407
- https://doi.org/10.1364/josa.71.001406
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.Keywords
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