Improved Low Rank Matrix Approximation Algorithm for Non-synchronous Measurement of Sound Source Localization

doi:10.3901/JME.2023.16.137

Abstract

Abstract: Non-synchronous measurement sound source localization can improve the frequency range and spatial resolution of localization. However, in the environment of low signal to noise ratio（SNR）, the accuracy of the non-synchronous measurement sound source localization result of the existing matrix completion algorithm is poor. An improved low rank matrix approximation algorithm（LRMA） is proposed to perform matrix completion: First, incomplete cross-spectral matrix is completed; Second, the cross-spectral matrix is denoised by using the method of parameterized non-convex penalty function; In the end, the non-synchronous measurement sound source localization is realized through the conventional beamforming algorithm（CBF）. The improved LRMA and the nuclear norm minimization completion algorithm and principal component analysis algorithm（PCA） are compared with the numerical simulation and experiment of non-synchronous measurement sound source localization at different frequencies and low SNRs. The simulation and experiment results show that:① Under different low SNRs, the improved LRMA has smaller matrix completion error（MCE） than the nuclear norm minimization completion algorithm and PCA algorithm.② Compared with the sound source localization results of the nuclear norm minimization completion algorithm and PCA algorithm,the sound source localization result of the improved LRMA can effectively reduce the main lobe width, suppress the side lobes, improve the resolution of sound source localization, which can be applied to the complex industrial environments with low SNR.

Key words: non-synchronous measurement, matrix completion, sound source localization, low rank matrix approximation

CLC Number:

TB51
TP391

NING Fangli, YAO Keqiang, WEI Juan. Improved Low Rank Matrix Approximation Algorithm for Non-synchronous Measurement of Sound Source Localization[J]. Journal of Mechanical Engineering, 2023, 59(16): 137-146.

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