SIGNAL RECOVERY AND THE LARGE SIEVE

被引：102

作者：

DONOHO, DL ^{[1
]}

LOGAN, BF ^{[1
]}

机构：

[1] AT&T BELL LABS,MURRAY HILL,NJ 07974

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 02期

关键词：

ENTIRE FUNCTIONS OF EXPONENTIAL TYPE; TRIGONOMETRIC POLYNOMIALS; SIGNAL RECOVERY; L1 RECOVERY METHODS; LOGANS PHENOMENON; NYQUIST DENSITY;

D O I：

10.1137/0152031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inequalities are developed for the fraction of a bandlimited function's L(p) norm that can be concentrated on any set of small "Nyquist density." Two applications are mentioned. First, that a bandlimited function corrupted by impulsive noise can be reconstructed perfectly, provided the noise is concentrated on a set of Nyquist density < 1/pi; second, that a wideband signal supported on a set of Nyquist density < 1/pi can be reconstructed stably from noisy data, even when the low-frequency information is completely missing.

引用

页码：577 / 591

页数：15

共 18 条

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[2]

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[3]

Beurling A., 1938, 9 C MATH SCAND HELS, P345

[4]

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