Modified Generalized Inverse Beamforming Based on High-order Matrix Function

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (10) : 98-103.

Chen Si 1 Zhang Zhi-fei 1 Xu Zhong-ming 1 He Yan-song 1 Li Shu 1

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Abstract

Generalized inverse beamforming is an effective sound source locating method. But its calculation robustness is sensitive to random noises. For the sake of improving the robustness of generalized inverse beamforming, a modified algorithm based on high-order matrix function is proposed. The regularization matrix is defined based on generalized inverse beamforming and used in iteratively resolving beamforming output. At the same time, the high-order matrix function is incorporated into the cross spectra of beamforming output to optimize the effect of sound source localization. Moreover, to find the optimum range of matrix function order, the numerical simulation is implemented and the influence of sound source frequency on value selection of matrix function order is analyzed correspondingly. Finally, the identifications of both monopole and coherent sound sources are realized numerically and experimentally. The results show that the proposed modified algorithm can identify the source position with higher space resolution and less side-lobe.

Key words

microphones array / sound source identification / generalized inverse beamforming / high order matrix function

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Chen Si 1 Zhang Zhi-fei 1 Xu Zhong-ming 1 He Yan-song 1 Li Shu 1 . Modified Generalized Inverse Beamforming Based on High-order Matrix Function[J]. Journal of Vibration and Shock, 2017, 36(10): 98-103

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