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《Acta Electronica Sinica》 2009-05
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Advances in Theory and Application of Compressed Sensing

SHI Guang-ming1,LIU Dan-hua1,GAO Da-hua1,2,LIU Zhe3,LIN Jie1,WANG Liang-jun1 (1.Intelligent Perception and Image Understanding Key Laboratory of Ministry of Education,Xidian University,Xi'an,Shaanxi 710071,China; 2.School of Science,Air Force Engineering University,Xi'an,Shaanxi 710051,China; 3.School of Science,Northwestern Polytechnical University,Xi'an,Shaanxi 710072,China)  
Sampling is the bridge between analog source signal and digital signal.With the rapid progress of information technologies,the demands for information are increasing dramatically.So the existing systems are very difficult to meet the challenges of high speed sampling,large volume data transmission and storage.How to acquire information in signal efficiently is an urgent problem in electronic information fields.In recent years,an emerging theory of signal acquirement——compressed sensing(CS) provides a golden opportunity for solving this problem.This paper reviews the theoretical framework and the key technical problems of compressed sensing and introduces the latest developments of signal sparse representation,design of measurement matrix and reconstruction algorithm.Then this paper also reviews several open problems in CS theory and discusses the existing difficult problems.In the end,the application fields of compressed sensing are introduced.
【Fund】: 国家自然科学基金(No.60776795 No.60736043 No.60672125 No.60607010);; 教育部长江学者和创新团队支持计划(No.IRT0645);; 国家863高技术研研发展计划(No.2007AA01Z307)
【CateGory Index】: TP391.41
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