Deterministic Sensing Matrices in Compressive Sensing: A Survey
Compressive sensing is a sampling method which provides a new approach to efficient signal compression and recovery by exploiting the fact that a sparse signal can be suitably reconstructed from very few measurements. One of the most concerns in compressive sensing is the construction of the sensing...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/192795 |
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| author | Thu L. N. Nguyen Yoan Shin |
| author_facet | Thu L. N. Nguyen Yoan Shin |
| author_sort | Thu L. N. Nguyen |
| collection | DOAJ |
| description | Compressive sensing is a sampling method which provides a new approach to efficient signal compression and recovery by exploiting the fact that a sparse signal can be suitably reconstructed from very few measurements. One of the most concerns in compressive sensing is the construction of the sensing matrices. While random sensing matrices have been widely studied, only a few deterministic sensing matrices have been considered. These matrices are highly desirable on structure which allows fast implementation with reduced storage requirements. In this paper, a survey of deterministic sensing matrices for compressive sensing is presented. We introduce a basic problem in compressive sensing and some disadvantage of the random sensing matrices. Some recent results on construction of the deterministic sensing matrices are discussed. |
| format | Article |
| id | doaj-art-e2c3dd2156064474a0ef223f62713bc9 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e2c3dd2156064474a0ef223f62713bc92025-02-03T01:03:35ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/192795192795Deterministic Sensing Matrices in Compressive Sensing: A SurveyThu L. N. Nguyen0Yoan Shin1School of Electronic Engineering, Soongsil University, Seoul 156-743, Republic of KoreaSchool of Electronic Engineering, Soongsil University, Seoul 156-743, Republic of KoreaCompressive sensing is a sampling method which provides a new approach to efficient signal compression and recovery by exploiting the fact that a sparse signal can be suitably reconstructed from very few measurements. One of the most concerns in compressive sensing is the construction of the sensing matrices. While random sensing matrices have been widely studied, only a few deterministic sensing matrices have been considered. These matrices are highly desirable on structure which allows fast implementation with reduced storage requirements. In this paper, a survey of deterministic sensing matrices for compressive sensing is presented. We introduce a basic problem in compressive sensing and some disadvantage of the random sensing matrices. Some recent results on construction of the deterministic sensing matrices are discussed.http://dx.doi.org/10.1155/2013/192795 |
| spellingShingle | Thu L. N. Nguyen Yoan Shin Deterministic Sensing Matrices in Compressive Sensing: A Survey The Scientific World Journal |
| title | Deterministic Sensing Matrices in Compressive Sensing: A Survey |
| title_full | Deterministic Sensing Matrices in Compressive Sensing: A Survey |
| title_fullStr | Deterministic Sensing Matrices in Compressive Sensing: A Survey |
| title_full_unstemmed | Deterministic Sensing Matrices in Compressive Sensing: A Survey |
| title_short | Deterministic Sensing Matrices in Compressive Sensing: A Survey |
| title_sort | deterministic sensing matrices in compressive sensing a survey |
| url | http://dx.doi.org/10.1155/2013/192795 |
| work_keys_str_mv | AT thulnnguyen deterministicsensingmatricesincompressivesensingasurvey AT yoanshin deterministicsensingmatricesincompressivesensingasurvey |