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arXiv · 1312.1717

Sampling and Reconstruction in Different Subspaces by Using Oblique Projections

Peter Berger·Karlheinz Gröchenig
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Abstract

We introduce a new method for the reconstruction of a function from linear measurements by means of oblique projections. The space spanned by the measurement vectors may be different from the subspace in which the function is reconstructed. This method is a variation of the generalized sampling of Adcock and Hansen. In many cases the use of suitable oblique projections yield a better quasi-optimality constants than in generalized sampling.

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Peter Berger, Karlheinz Gröchenig. 2013-12-06. Sampling and Reconstruction in Different Subspaces by Using Oblique Projections. https://arxiv.org/abs/1312.1717

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