Due to the production and installation error of the antenna array, there is mismatch between the actual array manifold and the ideal. Considering a practical conformal hydrophone array and the shielding of the sonar platform, the isotropy directivity of each sensor may be destroyed seriously, which is a big challenge to beam pattern synthesis. The method of measuring the actual array manifold was proposed, and second-order cone programming (SOCP) was applied to optimize the weights vector of the array sensors. The experiment result shows the irregular directivity of the array sensors. The weights vector was obtained from the measured array manifold and SOCP, and the synthesized beam pattern met the engineering requirements.
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This work was supported by the National Natural Science Foundation of China (Grant No. 61601322), Natural Science Foundation of Tianjin City (Grant No. 16JCQNJC01400) and State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201503).
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