Geodesic
Truncations of generalized shift-invariant systems
Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 504-515

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DOI

We provide conditions under which a generalized shift-invariant (GSI) system can be approximated by a GSI system for which the generators have compact support in the Fourier domain. The approximation quality will be measured in terms of the Bessel bound (upper frame bound) for the difference between the two GSI systems. In particular, this leads to easily verifiable conditions for a perturbation of a GSI system to preserve the frame property.
DOI : 10.4153/S0008439523000929
Mots-clés : Generalized shift-invariant system, approximation of generalized shift-invariant system, frames 
Christensen, Ole; Alvarez, Pablo Garcia; Kim, Rae Young. Truncations of generalized shift-invariant systems. Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 504-515. doi: 10.4153/S0008439523000929
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     title = {Truncations of generalized shift-invariant systems},
     journal = {Canadian mathematical bulletin},
     pages = {504--515},
     year = {2024},
     volume = {67},
     number = {2},
     doi = {10.4153/S0008439523000929},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000929/}
}
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