Generalized sampling in Julia

Christian Robert Dahl Jacobsen, Morten Nielsen, Morten Grud Rasmussen

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Abstrakt

Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. For example, one can use wavelet bases for reconstruction given frequency measurements.

In this paper, we will introduce a carefully documented toolbox for performing generalized sampling in Julia. Julia is a new language for technical computing with focus on performance, which is ideally suited to handle the large size problems often encountered in generalized sampling. The toolbox provides specialized solutions for the setup of Fourier bases and wavelets.

The performance of the toolbox is compared to existing implementations of generalized sampling in MATLAB.
OriginalsprogEngelsk
TidsskriftJournal of Open Research Software
Vol/bind5
Udgave nummer1
Antal sider5
ISSN2049-9647
DOI
StatusUdgivet - 2017

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