Improved resolving capabilities of linear array using 2qth order non‐circular statistics
Abstract Resolving more sources than sensors is always of interest to researchers. For this purpose, generation of the virtual array from the non‐uniform linear array has recently gathered a lot of attention. The covariance/cumulant lags of the array output define virtual sensors and thereby virtual...
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| Format: | Article |
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Wiley
2021-04-01
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| Series: | IET Signal Processing |
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| Online Access: | https://doi.org/10.1049/sil2.12013 |
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| author | Payal Gupta Monika Agrawal |
| author_facet | Payal Gupta Monika Agrawal |
| author_sort | Payal Gupta |
| collection | DOAJ |
| description | Abstract Resolving more sources than sensors is always of interest to researchers. For this purpose, generation of the virtual array from the non‐uniform linear array has recently gathered a lot of attention. The covariance/cumulant lags of the array output define virtual sensors and thereby virtual array. The aperture of the designed virtual array is much more than the aperture of physical array. This large aperture provides highest degrees of freedom to solve the underdetermined system. In the case of non‐circular signals, pseudo‐covariances/cumulants are significant, and this additional information can further be used to increase the virtual array aperture. Herein, a framework is proposed to extend the virtual array aperture by additionally using pseudo‐/non‐circular cumulants along with the circular cumulants of the array output for non‐circular signals. The suggested framework not only increases the resolvability but also improves the DoA estimation accuracy. With fourth‐order statistics, the virtual array aperture becomes almost double, and the increment is much more with further higher order statistics. Numerical simulations demonstrate the efficacy of the claims. |
| format | Article |
| id | doaj-art-de3defe986cb46e58616b275e60ef94c |
| institution | Kabale University |
| issn | 1751-9675 1751-9683 |
| language | English |
| publishDate | 2021-04-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Signal Processing |
| spelling | doaj-art-de3defe986cb46e58616b275e60ef94c2025-02-03T01:31:55ZengWileyIET Signal Processing1751-96751751-96832021-04-01152617910.1049/sil2.12013Improved resolving capabilities of linear array using 2qth order non‐circular statisticsPayal Gupta0Monika Agrawal1Centre of Applied Research in Electronics Indian Institute of Technology New Delhi IndiaCentre of Applied Research in Electronics Indian Institute of Technology New Delhi IndiaAbstract Resolving more sources than sensors is always of interest to researchers. For this purpose, generation of the virtual array from the non‐uniform linear array has recently gathered a lot of attention. The covariance/cumulant lags of the array output define virtual sensors and thereby virtual array. The aperture of the designed virtual array is much more than the aperture of physical array. This large aperture provides highest degrees of freedom to solve the underdetermined system. In the case of non‐circular signals, pseudo‐covariances/cumulants are significant, and this additional information can further be used to increase the virtual array aperture. Herein, a framework is proposed to extend the virtual array aperture by additionally using pseudo‐/non‐circular cumulants along with the circular cumulants of the array output for non‐circular signals. The suggested framework not only increases the resolvability but also improves the DoA estimation accuracy. With fourth‐order statistics, the virtual array aperture becomes almost double, and the increment is much more with further higher order statistics. Numerical simulations demonstrate the efficacy of the claims.https://doi.org/10.1049/sil2.12013array signal processingdirection‐of‐arrival estimationhigher order statisticssoft sensors |
| spellingShingle | Payal Gupta Monika Agrawal Improved resolving capabilities of linear array using 2qth order non‐circular statistics IET Signal Processing array signal processing direction‐of‐arrival estimation higher order statistics soft sensors |
| title | Improved resolving capabilities of linear array using 2qth order non‐circular statistics |
| title_full | Improved resolving capabilities of linear array using 2qth order non‐circular statistics |
| title_fullStr | Improved resolving capabilities of linear array using 2qth order non‐circular statistics |
| title_full_unstemmed | Improved resolving capabilities of linear array using 2qth order non‐circular statistics |
| title_short | Improved resolving capabilities of linear array using 2qth order non‐circular statistics |
| title_sort | improved resolving capabilities of linear array using 2qth order non circular statistics |
| topic | array signal processing direction‐of‐arrival estimation higher order statistics soft sensors |
| url | https://doi.org/10.1049/sil2.12013 |
| work_keys_str_mv | AT payalgupta improvedresolvingcapabilitiesoflineararrayusing2qthordernoncircularstatistics AT monikaagrawal improvedresolvingcapabilitiesoflineararrayusing2qthordernoncircularstatistics |