Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation
This paper exploits a sparse array representation, a novel nested arc array, to generate a virtual non-uniform circular arrays that have been presented and investigated. To increase the array aperture, the virtual array has been developed using higher-order statistics, namely, the Forth-Order Cumula...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823001795 |
| _version_ | 1828716986232733696 |
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| author | Tarek A. El-Rahman Amgad A. Salama Walid M. Saad Mohamed H. El-Shafey |
| author_facet | Tarek A. El-Rahman Amgad A. Salama Walid M. Saad Mohamed H. El-Shafey |
| author_sort | Tarek A. El-Rahman |
| collection | DOAJ |
| description | This paper exploits a sparse array representation, a novel nested arc array, to generate a virtual non-uniform circular arrays that have been presented and investigated. To increase the array aperture, the virtual array has been developed using higher-order statistics, namely, the Forth-Order Cumulants (FOC). The extended array contains a combination of physical as well as virtual sensors. The increased degrees of freedom (DOFs) in the resultant virtual array make it suitable for over-and under-determined direction of arrival (DOA) estimation. The Cramer-Rao bound (CRB) and the (DOA) estimation for such an array are developed and investigated for various arrays. The proposed array performance is superior to that of the uniform one. Further, the offered array is suitable for two-dimensional (2D) DOA estimation problems. |
| first_indexed | 2024-03-12T14:21:23Z |
| format | Article |
| id | doaj.art-5ab0b188acf645d79db69285a21b6f44 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-12T14:21:23Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-5ab0b188acf645d79db69285a21b6f442023-08-19T04:31:36ZengElsevierAlexandria Engineering Journal1110-01682023-08-0176259274Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimationTarek A. El-Rahman0Amgad A. Salama1Walid M. Saad2Mohamed H. El-Shafey3Ain Shams University, Faculty of Engineering Computer and System Engineering Department, EgyptThe Egyptian Technical Research and Development Centre, Cairo, Egypt; Corresponding author.The Egyptian Technical Research and Development Centre, Cairo, EgyptAin Shams University, Faculty of Engineering Computer and System Engineering Department, EgyptThis paper exploits a sparse array representation, a novel nested arc array, to generate a virtual non-uniform circular arrays that have been presented and investigated. To increase the array aperture, the virtual array has been developed using higher-order statistics, namely, the Forth-Order Cumulants (FOC). The extended array contains a combination of physical as well as virtual sensors. The increased degrees of freedom (DOFs) in the resultant virtual array make it suitable for over-and under-determined direction of arrival (DOA) estimation. The Cramer-Rao bound (CRB) and the (DOA) estimation for such an array are developed and investigated for various arrays. The proposed array performance is superior to that of the uniform one. Further, the offered array is suitable for two-dimensional (2D) DOA estimation problems.http://www.sciencedirect.com/science/article/pii/S1110016823001795Co-arraysCramer-RaoDirection-of-arrivalNested arraysNested arc arrays |
| spellingShingle | Tarek A. El-Rahman Amgad A. Salama Walid M. Saad Mohamed H. El-Shafey Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation Alexandria Engineering Journal Co-arrays Cramer-Rao Direction-of-arrival Nested arrays Nested arc arrays |
| title | Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation |
| title_full | Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation |
| title_fullStr | Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation |
| title_full_unstemmed | Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation |
| title_short | Cramer-Rao bound investigation of a novel virtually extended nested arc array for 2D DOA estimation |
| title_sort | cramer rao bound investigation of a novel virtually extended nested arc array for 2d doa estimation |
| topic | Co-arrays Cramer-Rao Direction-of-arrival Nested arrays Nested arc arrays |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823001795 |
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