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In this paper, we consider the problem of reconstructing functions in local multiply generated shift invariant spaces from convolution random samples. The sampling set is randomly chosen with one kind… Click to show full abstract
In this paper, we consider the problem of reconstructing functions in local multiply generated shift invariant spaces from convolution random samples. The sampling set is randomly chosen with one kind of probability distribution over a bounded cube and the sampled values are the convolution of the original function on sampling set. We obtain an explicit reconstruction formula. This reconstruction formula succeeds with overwhelming probability when the sampling size is sufficiently large.
Keywords:
convolution random;
shift invariant;
invariant spaces
Journal Title: Inverse Problems
Year Published: 2019
Link to full text (if available)
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Journal Title: Inverse Problems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!