Discrete fourier analysis on lattice grids
Journal article, Peer reviewed
Accepted version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2654677Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [1435]
- Publikasjoner fra CRIStin - NTNU [21000]
Originalversjon
Lecture Notes in Computer Science (LNCS). 2019, 11189 LNCS 251-260. 10.1007/978-3-030-10692-8_28Sammendrag
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.