Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays
For linear arrays with fixed steering and an inter-element spacing smaller than one half of the wavelength, end-fire steering of a data-independent beamformer offers better directivity than broadside steering. The introduction of a lower bound on the white noise gain ensures the necessary robustness...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-06-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/15/6/13477 |
| _version_ | 1798043257355108352 |
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| author | Andrea Trucco Federico Traverso Marco Crocco |
| author_facet | Andrea Trucco Federico Traverso Marco Crocco |
| author_sort | Andrea Trucco |
| collection | DOAJ |
| description | For linear arrays with fixed steering and an inter-element spacing smaller than one half of the wavelength, end-fire steering of a data-independent beamformer offers better directivity than broadside steering. The introduction of a lower bound on the white noise gain ensures the necessary robustness against random array errors and sensor mismatches. However, the optimum broadside performance can be obtained using a simple processing architecture, whereas the optimum end-fire performance requires a more complicated system (because complex weight coefficients are needed). In this paper, we reconsider the oversteering technique as a possible way to simplify the processing architecture of equally spaced end-fire arrays. We propose a method for computing the amount of oversteering and the related real-valued weight vector that allows the constrained directivity to be maximized for a given inter-element spacing. Moreover, we verify that the maximized oversteering performance is very close to the optimum end-fire performance. We conclude that optimized oversteering is a viable method for designing end-fire arrays that have better constrained directivity than broadside arrays but with a similar implementation complexity. A numerical simulation is used to perform a statistical analysis, which confirms that the maximized oversteering performance is robust against sensor mismatches. |
| first_indexed | 2024-04-11T22:46:51Z |
| format | Article |
| id | doaj.art-112ce6dfcd744856a4c503c895fced44 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T22:46:51Z |
| publishDate | 2015-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-112ce6dfcd744856a4c503c895fced442022-12-22T03:58:44ZengMDPI AGSensors1424-82202015-06-01156134771350210.3390/s150613477s150613477Maximum Constrained Directivity of Oversteered End-Fire Sensor ArraysAndrea Trucco0Federico Traverso1Marco Crocco2Department of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture (DITEN), University of Genoa, 5-16126 Genova, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture (DITEN), University of Genoa, 5-16126 Genova, ItalyPattern Analysis & Computer Vision (PAVIS), Istituto Italiano di Tecnologia (IIT), 30.16163 Genova, ItalyFor linear arrays with fixed steering and an inter-element spacing smaller than one half of the wavelength, end-fire steering of a data-independent beamformer offers better directivity than broadside steering. The introduction of a lower bound on the white noise gain ensures the necessary robustness against random array errors and sensor mismatches. However, the optimum broadside performance can be obtained using a simple processing architecture, whereas the optimum end-fire performance requires a more complicated system (because complex weight coefficients are needed). In this paper, we reconsider the oversteering technique as a possible way to simplify the processing architecture of equally spaced end-fire arrays. We propose a method for computing the amount of oversteering and the related real-valued weight vector that allows the constrained directivity to be maximized for a given inter-element spacing. Moreover, we verify that the maximized oversteering performance is very close to the optimum end-fire performance. We conclude that optimized oversteering is a viable method for designing end-fire arrays that have better constrained directivity than broadside arrays but with a similar implementation complexity. A numerical simulation is used to perform a statistical analysis, which confirms that the maximized oversteering performance is robust against sensor mismatches.http://www.mdpi.com/1424-8220/15/6/13477beamformingend-fire arraysoversteeringmaximum directivitywhite noise gainmicrophone and hydrophone arrays |
| spellingShingle | Andrea Trucco Federico Traverso Marco Crocco Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays Sensors beamforming end-fire arrays oversteering maximum directivity white noise gain microphone and hydrophone arrays |
| title | Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays |
| title_full | Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays |
| title_fullStr | Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays |
| title_full_unstemmed | Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays |
| title_short | Maximum Constrained Directivity of Oversteered End-Fire Sensor Arrays |
| title_sort | maximum constrained directivity of oversteered end fire sensor arrays |
| topic | beamforming end-fire arrays oversteering maximum directivity white noise gain microphone and hydrophone arrays |
| url | http://www.mdpi.com/1424-8220/15/6/13477 |
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