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A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation
Joint Authors
Han, ChongZhao
Lian, Feng
Liu, Jing
Yao, XiangHua
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A novel method named as coherent column replacement method is proposed to reduce the coherence of a partially deterministic sensing matrix, which is comprised of highly coherent columns and random Gaussian columns.
The proposed method is to replace the highly coherent columns with random Gaussian columns to obtain a new sensing matrix.
The measurement vector is changed accordingly.
It is proved that the original sparse signal could be reconstructed well from the newly changed measurement vector based on the new sensing matrix with large probability.
This method is then extended to a more practical condition when highly coherent columns and incoherent columns are considered, for example, the direction of arrival (DOA) estimation problem in phased array radar system using compressed sensing.
Numerical simulations show that the proposed method succeeds in identifying multiple targets in a sparse radar scene, where the compressed sensing method based on the original sensing matrix fails.
The proposed method also obtains more precise estimation of DOA using one snapshot compared with the traditional estimation methods such as Capon, APES, and GLRT, based on hundreds of snapshots.
American Psychological Association (APA)
Liu, Jing& Han, ChongZhao& Yao, XiangHua& Lian, Feng. 2013. A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-480610
Modern Language Association (MLA)
Liu, Jing…[et al.]. A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-480610
American Medical Association (AMA)
Liu, Jing& Han, ChongZhao& Yao, XiangHua& Lian, Feng. A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-480610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480610