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Sensors 2015, 15(12), 31056-31068; doi:10.3390/s151229849

Compressive Sensing Based Design of Sparse Tripole Arrays

1
Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK
2
Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 3JD, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Received: 17 November 2015 / Revised: 3 December 2015 / Accepted: 7 December 2015 / Published: 10 December 2015
(This article belongs to the Section Physical Sensors)
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Abstract

This paper considers the problem of designing sparse linear tripole arrays. In such arrays at each antenna location there are three orthogonal dipoles, allowing full measurement of both the horizontal and vertical components of the received waveform. We formulate this problem from the viewpoint of Compressive Sensing (CS). However, unlike for isotropic array elements (single antenna), we now have three complex valued weight coefficients associated with each potential location (due to the three dipoles), which have to be simultaneously minimised. If this is not done, we may only set the weight coefficients of individual dipoles to be zero valued, rather than complete tripoles, meaning some dipoles may remain at each location. Therefore, the contributions of this paper are to formulate the design of sparse tripole arrays as an optimisation problem, and then we obtain a solution based on the minimisation of a modified l 1 norm or a series of iteratively solved reweighted minimisations, which ensure a truly sparse solution. Design examples are provided to verify the effectiveness of the proposed methods and show that a good approximation of a reference pattern can be achieved using fewer tripoles than a Uniform Linear Array (ULA) of equivalent length. View Full-Text
Keywords: sparse array; vector sensors; tripoles; compressive sensing; reweighted minimisation sparse array; vector sensors; tripoles; compressive sensing; reweighted minimisation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hawes, M.; Liu, W.; Mihaylova, L. Compressive Sensing Based Design of Sparse Tripole Arrays. Sensors 2015, 15, 31056-31068.

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