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Discrete fourier analysis on lattice grids

Nome, Morten Andreas; Sørevik, Tor
Journal article, Peer reviewed
Accepted version
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URI
https://hdl.handle.net/11250/2654677
Date
2019
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  • Institutt for matematiske fag [1396]
  • Publikasjoner fra CRIStin - NTNU [19834]
Original version
Lecture Notes in Computer Science (LNCS). 2019, 11189 LNCS 251-260.   10.1007/978-3-030-10692-8_28
Abstract
Using group theory we describe the relation between lattice sampling grids and the corresponding non-aliasing Fourier basis sets, valid for all 1-periodic lattices. This technique enable us to extend the results established in [16]. We also provide explicit formula for the Lagrange functions and show how the FFT algorithm may be used to compute the expansion coefficients.
Publisher
Springer
Journal
Lecture Notes in Computer Science (LNCS)

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