Design of Fixed Beamformers Based on Vector-Sensor Arrays
Vector-sensor arrays such as those composed of crossed dipole pairs are used as they can account for a signal’s polarisation in addition to the usual direction of arrival information, hence allowing expanded capacity of the system. The problem of designing fixed beamformers based on such an array, w...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2015/181937 |
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| author | Matthew Hawes Wei Liu |
| author_facet | Matthew Hawes Wei Liu |
| author_sort | Matthew Hawes |
| collection | DOAJ |
| description | Vector-sensor arrays such as those composed of crossed dipole pairs are used as they can account for a signal’s polarisation in addition to the usual direction of arrival information, hence allowing expanded capacity of the system. The problem of designing fixed beamformers based on such an array, with a quaternionic signal model, is considered in this paper. Firstly, we consider the problem of designing the weight coefficients for a fixed set of vector-sensor locations. This can be achieved by minimising the sidelobe levels while keeping a unitary response for the main lobe. The second problem is then how to find a sparse set of sensor locations which can be efficiently used to implement a fixed beamformer. We propose solving this problem by converting the traditional l1 norm minimisation associated with compressive sensing into a modified l1 norm minimisation which simultaneously minimises all four parts of the quaternionic weight coefficients. Further improvements can be made in terms of sparsity by converting the problem into a series of iteratively solved reweighted minimisations, as well as being able to enforce a minimum spacing between active sensor locations. Design examples are provided to verify the effectiveness of the proposed design methods. |
| format | Article |
| id | doaj-art-a325ffdbcced442795aa511a6b8c6988 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-a325ffdbcced442795aa511a6b8c69882025-02-03T00:59:04ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/181937181937Design of Fixed Beamformers Based on Vector-Sensor ArraysMatthew Hawes0Wei Liu1Communications Research Group, Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 3JD, UKCommunications Research Group, Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 3JD, UKVector-sensor arrays such as those composed of crossed dipole pairs are used as they can account for a signal’s polarisation in addition to the usual direction of arrival information, hence allowing expanded capacity of the system. The problem of designing fixed beamformers based on such an array, with a quaternionic signal model, is considered in this paper. Firstly, we consider the problem of designing the weight coefficients for a fixed set of vector-sensor locations. This can be achieved by minimising the sidelobe levels while keeping a unitary response for the main lobe. The second problem is then how to find a sparse set of sensor locations which can be efficiently used to implement a fixed beamformer. We propose solving this problem by converting the traditional l1 norm minimisation associated with compressive sensing into a modified l1 norm minimisation which simultaneously minimises all four parts of the quaternionic weight coefficients. Further improvements can be made in terms of sparsity by converting the problem into a series of iteratively solved reweighted minimisations, as well as being able to enforce a minimum spacing between active sensor locations. Design examples are provided to verify the effectiveness of the proposed design methods.http://dx.doi.org/10.1155/2015/181937 |
| spellingShingle | Matthew Hawes Wei Liu Design of Fixed Beamformers Based on Vector-Sensor Arrays International Journal of Antennas and Propagation |
| title | Design of Fixed Beamformers Based on Vector-Sensor Arrays |
| title_full | Design of Fixed Beamformers Based on Vector-Sensor Arrays |
| title_fullStr | Design of Fixed Beamformers Based on Vector-Sensor Arrays |
| title_full_unstemmed | Design of Fixed Beamformers Based on Vector-Sensor Arrays |
| title_short | Design of Fixed Beamformers Based on Vector-Sensor Arrays |
| title_sort | design of fixed beamformers based on vector sensor arrays |
| url | http://dx.doi.org/10.1155/2015/181937 |
| work_keys_str_mv | AT matthewhawes designoffixedbeamformersbasedonvectorsensorarrays AT weiliu designoffixedbeamformersbasedonvectorsensorarrays |