Work

Asynchronous measurement sound source localization method based on truncated nuclear norm joint Lp norm minimization under low signal-to-noise ratio

Year: 2025

Type: article

Abstract: In the context of asynchronous measurement for sound source localization, the completion method relying on the truncated nuclear norm minimization framework faces certain limitations when it comes to processing low SNR signals. Noise can disrupt the algorithm’s accurate estimation of small singular values, leading to the formation of sidelobes. To address this challenge, this paper puts forward an asynchronous measurement sound source localization method that combines truncated nuclear norm and Lp norm minimization. This approach integrates the Lp norm into the existing truncated nuclear norm minimization strategy and uses the Alternating Direction Method of Multipliers (ADMM) algorithm to solve the objective function. For the non-convex sub-problem that contains the Lp norm, a weighted L2 norm approximation technique is introduced and incorporated into the ADMM iteration process. After completing the cross-spectral matrix using this matrix completion technique, the traditional beamforming method is employed to achieve asynchronous measurement sound source localization. To verify the superiority and effectiveness of this method, simulations and experiments of sound source localization are performed under different SNR and frequency conditions. The imaging performances of multiple algorithms are compared. The findings show that the asynchronous measurement approach for locating sound sources, which is based on the combination of truncated nuclear norm and Lp norm minimization, performs better than other models in low-SNR scenarios. This method is capable of significantly shrinking the main lobe, curbing the sidelobes, and boosting the spatial resolution.

Source: Applied Acoustics

DOI: 10.1016/j.apacoust.2025.111078

Authors: Shuaiyong Li, Pei Shen, Youwei Yu, Wanbo Zheng

Institutions: Chongqing University of Posts and Telecommunications, Kunming University of Science and Technology

Language: English

Topic: Direction-of-Arrival Estimation Techniques

Subfield: Signal Processing

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,820

Funders: Chongqing Municipal Education Commission, Chongqing Basic Science and Advanced Technology Research Program