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Theory and applications of compressed sensing
Author(s) -
Kutyniok Gitta
Publication year - 2013
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201310005
Subject(s) - compressed sensing , key (lock) , computer science , frame (networking) , representation (politics) , basis (linear algebra) , sparse approximation , algorithm , theoretical computer science , data mining , mathematics , telecommunications , geometry , computer security , politics , political science , law
Compressed sensing is a novel research area, which was introduced in 2006, and since then has already become a key concept in various areas of applied mathematics, computer science, and electrical engineering. It surprisingly predicts that high‐dimensional signals, which allow a sparse representation by a suitable basis or, more generally, a frame, can be recovered from what was previously considered highly incomplete linear measurements by using efficient algorithms. This article shall serve as an introduction to and a survey about compressed sensing. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)