A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation
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 co...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/548979 |
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| _version_ | 1832553447711309824 |
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| author | Jing Liu ChongZhao Han XiangHua Yao Feng Lian |
| author_facet | Jing Liu ChongZhao Han XiangHua Yao Feng Lian |
| author_sort | Jing Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1dd3cd834eed40d5889bfb5ba2feb4d8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1dd3cd834eed40d5889bfb5ba2feb4d82025-02-03T05:53:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/548979548979A Novel Coherence Reduction Method in Compressed Sensing for DOA EstimationJing Liu0ChongZhao Han1XiangHua Yao2Feng Lian3School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaSchool of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaSchool of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaSchool of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaA 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.http://dx.doi.org/10.1155/2013/548979 |
| spellingShingle | Jing Liu ChongZhao Han XiangHua Yao Feng Lian A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation Journal of Applied Mathematics |
| title | A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation |
| title_full | A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation |
| title_fullStr | A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation |
| title_full_unstemmed | A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation |
| title_short | A Novel Coherence Reduction Method in Compressed Sensing for DOA Estimation |
| title_sort | novel coherence reduction method in compressed sensing for doa estimation |
| url | http://dx.doi.org/10.1155/2013/548979 |
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