A DISCRETE THEORY OF IRREGULAR SAMPLING

Authors
GROCHENIG K
Citation
K. Grochenig, A DISCRETE THEORY OF IRREGULAR SAMPLING, Linear algebra and its applications, 193, 1993, pp. 129-150
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
193
Year of publication
1993
Pages
129 - 150
Database
ISI
SICI code
0024-3795(1993)193:<129:ADTOIS>2.0.ZU;2-#
Abstract
We derive algorithms for the iterative reconstruction of discrete band -limited signals from their irregular samples. They converge at a geom etric rate, and all constants are computable explicitly. We also treat the related problem of interpolation of trigonometric polynomials and give estimates for the condition number of certain positive definite Toeplitz matrices.