Abstract | ||
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This paper proposes a general model of superdirectivity to provide analytical and closed-form solutions for arbitrary sensor arrays. Based on the equivalence between the maximum directivity factor and the maximum array gain in the isotropic noise field, Gram-Schmidt orthogonalization is introduced and recursively transformed into a matrix form to conduct pre-whitening and matching operations that result in superdirectivity solutions. A Gram-Schmidt mode-beam decomposition and synthesis method is then presented to formally implement these solutions. Illustrative examples for different arrays are provided to demonstrate the feasibility of this method, and a reduced rank technique is used to deal with the practical array design for robust beamforming and acceptable high-order superdirectivity. Experimental results that are provided for a linear array consisting of nine hydrophones show the good performance of the technique. A superdirective beampattern with a beamwidth of 48.05° in the endfire direction is typically achieved when the inter-sensor spacing is only 0.09λ (λ is the wavelength), and the directivity index is up to 12 dB, which outperforms that of the conventional delay-and-sum counterpart by 6 dB. |
Year | DOI | Venue |
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2015 | 10.1186/s13634-015-0250-x | EURASIP Journal on Advances in Signal Processing |
Keywords | Field | DocType |
Gram-Schmidt orthogonalization, High-order superdirectivity, Mode-beam decomposition and synthesis, Optimal beamforming, Sonar signal processing | Isotropy,Gram–Schmidt process,Computer science,Artificial intelligence,Array gain,Beamwidth,Computer vision,Beamforming,Directivity,Algorithm,Orthogonalization,Electrical engineering,Sonar signal processing | Journal |
Volume | Issue | ISSN |
2015 | 1 | 1687-6180 |
Citations | PageRank | References |
2 | 0.41 | 8 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yong Wang | 1 | 4 | 2.81 |
Yixin Yang | 2 | 33 | 11.80 |
Zhengyao He | 3 | 2 | 0.75 |
Yina Han | 4 | 2 | 0.41 |
Y Ma | 5 | 130 | 15.55 |