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Decomposition of the Time Reversal Operator for Target Detection
Joint Authors
Li, Chun-xiao
Lu, Huan-cai
Zhao, Hang-fang
Jin, Jiang-ming
Guo, Mingfei
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A thorough theory of detection problem using active time reversal has been investigated in several recent papers.
Although active time reversal method is theoretically superior to the others, its practical implementation for target detection is far more difficult.
This paper investigates the detection problem using passive decomposition of the time reversal operator (DORT) method.
Provided that the signal components can be modeled as a linear combination of basis vectors with an unknown signal subspace, the generalized likelihood ratio test (GLRT) is derived based on Neyman-Person lemma with the unknown signal subspace replaced by its maximum likelihood estimation.
The test statistics is one of the dominant eigenvalues of the time reversal operator for a point-like scatterer.
Finally, the performance of the DORT detector is investigated with acoustic data collected from a waveguide tank.
The experimental results show that the DORT detector can provide, respectively, 1.4 dB, 1.1 dB, and 0.8 dB performance gains over the energy detector given false alarms rate of 0.0001, 0.001, and 0.01.
American Psychological Association (APA)
Li, Chun-xiao& Lu, Huan-cai& Guo, Mingfei& Zhao, Hang-fang& Jin, Jiang-ming. 2012. Decomposition of the Time Reversal Operator for Target Detection. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029637
Modern Language Association (MLA)
Li, Chun-xiao…[et al.]. Decomposition of the Time Reversal Operator for Target Detection. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029637
American Medical Association (AMA)
Li, Chun-xiao& Lu, Huan-cai& Guo, Mingfei& Zhao, Hang-fang& Jin, Jiang-ming. Decomposition of the Time Reversal Operator for Target Detection. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029637
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029637