The use of interpolated time-domain equivalent source method for reconstruction of semi-free transient sound field

2013 ◽  
Vol 134 (5) ◽  
pp. 3998-3998
Author(s):  
Siwei Pan ◽  
Weikang Jiang
2017 ◽  
Vol 103 (3) ◽  
pp. 401-410 ◽  
Author(s):  
Zhao-Huan Wang ◽  
Chuan-Xing Bi ◽  
Xiao-Zheng Zhang ◽  
Yong-Bin Zhang

Author(s):  
Siwei Pan ◽  
Weikang Jiang ◽  
Shang Xiang

Transient acoustic field can be rebuilt directly in the time-domain via the interpolated time-domain equivalent source method (ITDESM). However, this method requires that the reconstruction should be addressed in the free-field only, which can hardly be met in the engineering noise problems. To circumvent this difficulty, an extended ITDESM procedure is developed by extending the ITDESM from the free-field to the semi-free-field. In this approach, the time-domain equivalent sources are placed not only near the actual sound sources but also around their image sources with respect to the planar reflecting surface. The solving procedure of the equivalent source strengths is improved to decrease the computing load. The reflection conditions treated here can be arbitrary, i.e. both perfectly rigid and impedance-effected. Reconstruction results of the transient sound field radiated from three monopoles under different reflection conditions demonstrate the validity and applicability of the proposed method.


AIAA Journal ◽  
2011 ◽  
Vol 49 (9) ◽  
pp. 1897-1906 ◽  
Author(s):  
Seongkyu Lee ◽  
Kenneth S. Brentner ◽  
Philip J. Morris

2019 ◽  
Vol 9 (4) ◽  
pp. 808 ◽  
Author(s):  
Yansong He ◽  
Liangsong Chen ◽  
Zhongming Xu ◽  
Zhifei Zhang

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.


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