Investigations of the effects of random sampling schemes on the stability of generalized sampling

Christian Robert Dahl Jacobsen, Jesper Møller, Morten Nielsen, Morten Grud Rasmussen

Research output: Contribution to journalLetterpeer-review

Abstract

Generalized sampling is a mathematical technique for obtaining approximations of signals with respect to different representations in a numerically stable manner. This can for example be relevant in processing MRI images, where hardware often enforces initial frequency measurements, but where a wavelet basis may be better suited for representing the image. Recently the theory of generalized sampling was extended to work with arbitrary patterns in R d. In this article we investigate how the choice of the probability distribution generating random sampling schemes in R 2 affects the numerical stability of generalized sampling.

Original languageEnglish
JournalApplied and Computational Harmonic Analysis
Volume45
Issue number2
Pages (from-to)453-461
Number of pages9
ISSN1063-5203
DOIs
Publication statusPublished - Sep 2018

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