Scholars@Duke

Coherence, compressive sensing, and random sensor arrays

Publication ,  Journal Article
Carin, L; Liu, D; Guo, B
Published in: IEEE Antennas and Propagation Magazine
August 1, 2011
Published version (DOI)

Random sensor arrays are examined from a compressive-sensing (CS) perspective, particularly in terms of the coherence of compressive-sensing matrices. It is demonstrated that the maximum sidelobe level of an array corresponds to the coherence of interest for compressive sensing. This understanding is employed to explicitly quantify the accuracy of array source localization as a function of the number of sources and the noise level. The analysis demonstrates that the compressive-sensing theory is applicable to arrays in vacuum, as well as in the presence of a surrounding linear medium. Furthermore, the presence of a surrounding media with known properties may be used to improve array performance, with this related to phase conjugation and time reversal. Several numerical results are presented to demonstrate the theory. © 2006 IEEE.

Duke Scholars

Lawrence Carin
Author Lawrence Carin Electrical and Computer Engineering

Published In

IEEE Antennas and Propagation Magazine

DOI

10.1109/MAP.2011.6097283

ISSN

1045-9243

Publication Date

August 1, 2011

Volume

53

Issue

4

Start / End Page

28 / 39

Related Subject Headings

  • Networking & Telecommunications
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Carin, L., Liu, D., & Guo, B. (2011). Coherence, compressive sensing, and random sensor arrays. IEEE Antennas and Propagation Magazine, 53(4), 28–39. https://doi.org/10.1109/MAP.2011.6097283
Carin, L., D. Liu, and B. Guo. “Coherence, compressive sensing, and random sensor arrays.” IEEE Antennas and Propagation Magazine 53, no. 4 (August 1, 2011): 28–39. https://doi.org/10.1109/MAP.2011.6097283.
Carin L, Liu D, Guo B. Coherence, compressive sensing, and random sensor arrays. IEEE Antennas and Propagation Magazine. 2011 Aug 1;53(4):28–39.
Carin, L., et al. “Coherence, compressive sensing, and random sensor arrays.” IEEE Antennas and Propagation Magazine, vol. 53, no. 4, Aug. 2011, pp. 28–39. Scopus, doi:10.1109/MAP.2011.6097283.
Carin L, Liu D, Guo B. Coherence, compressive sensing, and random sensor arrays. IEEE Antennas and Propagation Magazine. 2011 Aug 1;53(4):28–39.

Published In

IEEE Antennas and Propagation Magazine

DOI

10.1109/MAP.2011.6097283

ISSN

1045-9243

Publication Date

August 1, 2011

Volume

53

Issue

4

Start / End Page

28 / 39

Related Subject Headings

  • Networking & Telecommunications
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering