An alternating iterative algorithm for sound source identification based on equivalent source method

2020 ◽  
Vol 68 (1) ◽  
pp. 59-71
Author(s):  
Chen Liangsong ◽  
He Yansong ◽  
Niu Xiyuan ◽  
Bao Jian ◽  
Li Wei
Keyword(s):  
Iterative Algorithm ◽  
Sound Source ◽  
Computational Efficiency ◽  
Source Identification ◽  
Dynamic Range ◽  
Reconstruction Accuracy ◽  
Equivalent Source ◽  
Source Method ◽  
Sound Source Identification ◽  
Equivalent Source Method

Near-field acoustical holography (NAH) based on equivalent source method (ESM) is an efficient technique for sound source identification. Conventional ESM with Tikhonov regularization (TRESM), ESM based on CVX MATLAB toolbox (CVX) and wideband acoustic holography (WBH) are commonly used methods for calculating equivalent source strengths. However, all of them have their respective limitations. To address some of these, an alternating iterative algorithm for sound source identification based on equivalent source method (AIESM) is proposed in this article, which is a combination of alternating direction method and a non-monotone line search technique. The method makes use of sparse regularization under the principle of compressive sensing (CS) to calculate equivalent source strengths. Moreover, inspired by the idea of functional beamforming (FB), AIESM with order n can yield an improved dynamic range when detecting the source location. Numerical simulations are carried out at different frequencies, and the results suggest that the computational efficiency of the proposed method is close to that of TRESM. In addition, AIESM has a better reconstruction accuracy than TRESM and WBH in a relatively wide frequency range. Compared with ESM based on CVX, AIESM is slightly better in reconstruction accuracy and has a higher computational efficiency. Meanwhile, AIESM with order n can provide more accurate source position and better resolution. The validity and practicality of the proposed method are further supported by experimental results.

Three‐dimensional application of improved equivalent source method for noise source identification

2016 ◽  
Vol 52 (17) ◽  
pp. 1501-1503
Author(s):  
Shu Li ◽  
Zhongming Xu ◽  
Yansong He ◽  
Zhifei Zhang ◽  
Qinghua Wang
Keyword(s):  
Source Identification ◽  
Noise Source ◽  
Three Dimensional ◽  
Equivalent Source ◽  
Source Method ◽  
Noise Source Identification ◽  
Equivalent Source Method

scholarly journals A Compressed Equivalent Source Method Based on Equivalent Redundant Dictionary for Sound Field Reconstruction

2019 ◽  
Vol 9 (4) ◽  
pp. 808 ◽  
Author(s):  
Yansong He ◽  
Liangsong Chen ◽  
Zhongming Xu ◽  
Zhifei Zhang
Keyword(s):  
Dynamic Range ◽  
Sound Field ◽  
High Dynamic Range ◽  
Redundant Dictionary ◽  
Equivalent Source ◽  
Practical Applications ◽  
Field Reconstruction ◽  
Source Method ◽  
Value Decomposition ◽  
Equivalent Source Method

The equivalent source method (ESM) based on compressive sensing (CS) requires that the source has a sparse or approximately sparse representation in a suitable basis or dictionary. However, in practical applications, it is not easy to find the appropriate basis or dictionary due to the indeterminate characteristics of the source. To solve this problem, an equivalent redundant dictionary is constructed, which contains two core parts: one is the equivalent dictionary used in the CS-based ESMs under the sparse assumption, and the other one is the orthogonal basis obtained by the singular value decomposition (SVD). On this foundation, a method named compressed ESM based on the equivalent redundant dictionary (ERDCESM) is proposed to enhance the performances of source field reconstruction for different types of sources. Moreover, inspired by the idea of functional beamforming (FB), ERDCESM with order v (ERDCESM- v ) can possess a high dynamic range when detecting the source location. The numerical simulations are carried out at different frequencies to evaluate the performance of the proposed method, and the results suggest that the proposed method performs well both for sparse and even spatially extended sources. The validity and practicality of the proposed method are also verified by the experimental results.

A block bayesian compressive sensing method based on the equivalent source method for near-field acoustic holography

2021 ◽  
pp. 107754632110564
Author(s):  
Ming Zan ◽  
Zhongming Xu ◽  
Linsen Huang ◽  
Zhonghua Tang ◽  
Zhifei Zhang ◽  
...  
Keyword(s):  
Compressive Sensing ◽  
Sound Source ◽  
Near Field ◽  
Wave Number ◽  
Signal To Noise ◽  
Acoustic Holography ◽  
Equivalent Source ◽  
Source Method ◽  
Reconstruction Performance ◽  
Equivalent Source Method

The conventional equivalent source method for near-field acoustic holography is an effective noise diagnosis method using microphone array. However, its performance is limited by microphone spacing, so the effect is unsatisfied when the wave number is high. In this paper, to broaden the frequency suitability and improve the performance of sound source reconstruction with low signal-to-noise ratios, a block Bayesian compressive sensing method based on the equivalent source method is proposed. Numerical results show that this proposed method has a good reconstruction performance and makes wideband reconstruction possible. By changing the frequency, location, and signal-to-noise ratio of the sound source, the reconstruction performance of the proposed method can remain stable. Finally, the validity and practicability of the proposed method are verified by experiments.

scholarly journals A Sound Source Identification Algorithm Based on Bayesian Compressive Sensing and Equivalent Source Method

Sensors ◽  
2020 ◽  
Vol 20 (3) ◽  
pp. 865 ◽  
Author(s):  
Ming Zan ◽  
Zhongming Xu ◽  
Linsen Huang ◽  
Zhifei Zhang
Keyword(s):  
Sound Source ◽  
Identification Algorithm ◽  
Reconstruction Accuracy ◽  
Acoustic Holography ◽  
Sound Sources ◽  
Low Frequencies ◽  
High Frequencies ◽  
Equivalent Source ◽  
Sound Source Identification ◽  
Coherent Sources

Near-field acoustic holography (NAH) based on equivalent source method (ESM) is an effective method for identifying sound sources. Conventional ESM focuses on relatively low frequencies and cannot provide a satisfactory solution at high frequencies. So its improved method called wideband acoustic holography (WBH) has been proposed, which has high reconstruction accuracy at medium-to-high frequencies. However, it is less accurate for coherent sound sources at low frequencies. To improve the reconstruction accuracy of conventional ESM and WBH, a sound source identification algorithm based on Bayesian compressive sensing (BCS) and ESM is proposed. This method uses a hierarchical Laplace sparse prior probability distribution, and adaptively adjusts the regularization parameter, so that the energy is concentrated near the correct equivalent source. Referring to the function beamforming idea, the original algorithm with order v can improve its dynamic range, and then more accurate position information is obtained. Based on the simulation of irregular microphone array, comparisons with conventional ESM and WBH show that the proposed method is more accurate, suitable for a wider range of frequencies, and has better reconstruction performance for coherent sources. By increasing the order v, the coherent sources can be located accurately. Finally, the stability and reliability of the proposed method are verified by experiments.

scholarly journals Optimization of Equivalent Source Configuration for an Independent-Equivalent Source Method in Half-Space Sound Field

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Wen-Qian Jing ◽  
Huawei Wu ◽  
Jin-Quan Nie
Keyword(s):  
Numerical Simulations ◽  
Half Space ◽  
Sound Field ◽  
Reconstruction Accuracy ◽  
Equivalent Source ◽  
Source Method ◽  
Equivalent Sources ◽  
Optimal Configurations ◽  
Measured Pressure ◽  
Equivalent Source Method

In the situation that vibrating objects are located above a reflecting plane, an independent-equivalent source method (I-ESM) regards the reflections due to the plane as being radiated by equivalent sources placed under the plane and then the half-space sound field is reconstructed by matching the measured pressure with the equivalent sources distributed within the vibrating object and those substituting for reflections. But, this method heavily depends on the equivalent source configuration and may obtain bad reconstruction results if the equivalent sources are arranged incorrectly. This paper deals with the optimization of the equivalent source configuration to ensure I-ESM always perform well. Through numerical simulations and experiments, the influence of equivalent source configurations on the reconstruction accuracy was studied and optimal configurations were acquired and confirmed.

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