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Zbl 1231.94017
Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information.
(English)
[J] IEEE Trans. Inf. Theory 52, No. 2, 489-509 (2006). ISSN 0018-9448

Summary: This paper considers the model problem of reconstructing an object from incomplete frequency samples.
MSC 2000:
*94A12 Signal theory
94A08 Image processing
94A13 Detection theory
94A20 Sampling theory

Keywords: convex optimization; duality in optimization; free probability; image reconstruction; random matrices; sparsity; total-variation minimization; trigonometric expansions; uncertainty principle

Cited in: Zbl 1231.94044

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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