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Appl Comput Harmon Anal. 2016 Sep;41(2):470-490. doi: 10.1016/j.acha.2016.02.003. Epub 2016 Mar 02.

Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction.

Applied and computational harmonic analysis

Jian-Feng Cai, Xiaobo Qu, Weiyu Xu, Gui-Bo Ye

Affiliations

  1. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong.
  2. Department of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, P.O. Box 979, Xiamen 361005, China.
  3. Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA 52242, United States.
  4. Department of Mathematics, University of Iowa, Iowa City, IA 52242, United States.

PMID: 29093630 PMCID: PMC5662150 DOI: 10.1016/j.acha.2016.02.003

Abstract

This paper explores robust recovery of a superposition of

Keywords: Complex sinusoids; Low-rank Hankel matrix; Random Gaussian projection

References

  1. Magn Reson Med. 2007 Dec;58(6):1182-95 - PubMed
  2. Angew Chem Int Ed Engl. 2015 Jan 12;54(3):852-4 - PubMed

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Grant support