SIGNAL RECOVERY AND THE LARGE SIEVE

Authors
DONOHO DL LOGAN BF
Citation
Dl. Donoho et Bf. Logan, SIGNAL RECOVERY AND THE LARGE SIEVE, SIAM journal on applied mathematics, 52(2), 1992, pp. 577-591
Citations number
18
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
52
Issue
2
Year of publication
1992
Pages
577 - 591
Database
ISI
SICI code
0036-1399(1992)52:2<577:SRATLS>2.0.ZU;2-3
Abstract
Inequalities are developed for the fraction of a bandlimited function' s L(p) norm that can be concentrated on any set of small "Nyquist dens ity." Two applications are mentioned. First, that a bandlimited functi on corrupted by impulsive noise can be reconstructed perfectly, provid ed the noise is concentrated on a set of Nyquist density < 1/pi; secon d, that a wideband signal supported on a set of Nyquist density < 1/pi can be reconstructed stably from noisy data, even when the low-freque ncy information is completely missing.