2018
DOI: 10.1007/s00041-018-9622-6
|View full text |Cite
|
Sign up to set email alerts
|

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Abstract: In our recent work, the sampling and reconstruction of non-decaying signals, modeled as members of weighted-L p spaces, were shown to be stable with an appropriate choice of the generating kernel for the shift-invariant reconstruction space. In this paper, we extend the Strang-Fix theory to show that, for ddimensional signals whose derivatives up to order L are all in some weighted-L p space, the weighted norm of the approximation error can be made to go down as O(h L ) when the sampling step h tends to 0. The… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2021
2021
2023
2023

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
references
References 53 publications
(98 reference statements)
0
0
0
Order By: Relevance