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On direct optimization in mode space for robust supergain beamforming of circular array mounted on a cylinder 被引量:6

On direct optimization in mode space for robust supergain beamforming of circular array mounted on a cylinder
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摘要 A direct robust supergain method in mode space for the circular array mounted on an infinite rigid cylinder was proposed, and then it was also applied to the circular array mounted on a finite rigid cylinder which is more practical. According to the concept of phase modes, the beam pattern is expanded into a series of eigen-beams multiplying by modal coeffi- cients. The modal noise cross spectral matrix is calculated from sound scattering theory. In the original modal robust supergain method, the coefficient vector in mode space is transformed indirectly fi'om the weighting vector in sensor space. The method presented here gives tile most suitable modal coefficient vector directly under the related constraint conditions based on the second-order cone programming. The results of simulation show that the direct modal robust supergain method can not only improve robustness using the white noise gain constraint, but also change the mode orders to provide compromise between array gain and robustness in low frequencies. Beam performance measures such as sidelobe level can be optimized as well as array gain, so this method can give more effective schemes for designing practical robust supergain beamformers. A direct robust supergain method in mode space for the circular array mounted on an infinite rigid cylinder was proposed, and then it was also applied to the circular array mounted on a finite rigid cylinder which is more practical. According to the concept of phase modes, the beam pattern is expanded into a series of eigen-beams multiplying by modal coeffi- cients. The modal noise cross spectral matrix is calculated from sound scattering theory. In the original modal robust supergain method, the coefficient vector in mode space is transformed indirectly fi'om the weighting vector in sensor space. The method presented here gives tile most suitable modal coefficient vector directly under the related constraint conditions based on the second-order cone programming. The results of simulation show that the direct modal robust supergain method can not only improve robustness using the white noise gain constraint, but also change the mode orders to provide compromise between array gain and robustness in low frequencies. Beam performance measures such as sidelobe level can be optimized as well as array gain, so this method can give more effective schemes for designing practical robust supergain beamformers.
机构地区 College of Marine
出处 《Chinese Journal of Acoustics》 2012年第4期392-407,共16页 声学学报(英文版)
基金 supported by the National Natural Science Foundation of Chiua(10734030,60901076)
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