Data extension near-field acoustic holography based on improved regularization method for resolution enhancement

被引:7
作者
Jiang, Laixu [1 ]
Xiao, Youhong [2 ]
Zou, Guangping [1 ]
机构
[1] Harbin Engn Univ, Coll Aeropace & Civil Engn, Harbin, Heilongjiang, Peoples R China
[2] Harbin Engn Univ, Coll Power & Energy Engn, Harbin, Heilongjiang, Peoples R China
关键词
Sound field reconstruction; Modified Tikhonov regularization; Improved orthogonal spherical wave superposition; Data extension; DATA EXTRAPOLATION METHOD; RECONSTRUCTION; RADIATION;
D O I
10.1016/j.apacoust.2019.07.002
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In recent years, patch near-field acoustic holography (NAH) has gradually emerged for the reconstruction of sound field radiated from large-scale sound source under the condition of small holographic aperture in engineering practice. However, this technique has not solved the problem that when the projection of large-scale sound source is located on the edge of the expanded hologram, high-precision reconstruction results are unavailable. In addition, the reconstruction of sound field is a typical inverse problem, so the existence of measurement errors makes the solution of the inverse problem be ill-posed and the accuracy of sound field reconstruction is greatly reduced. To overcome these difficulties, a new technique combining an improved method of orthogonal spherical wave superposition, data extension and modified regularization method is proposed to enhance the spatial resolution of reconstructed images. First, the sound pressure is reconstructed on an extended hologram using the improved method orthogonal spherical wave superposition and data extension. At the same time, the method modified Tikhonov regularization (MTR) is introduced to solve the edge error and other ill-posed reconstruction problems. Through iteration the accuracy of the regenerated data is improved. Finally, the extended data are used to reconstruct the sound field. The results of numerical simulation and experiments show that this technique can effectively improve the spatial resolution of the reconstructed image and the reconstruction is more robust. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:128 / 141
页数:14
相关论文
共 24 条
[1]   Patch nearfield acoustic holography based on the distributed source boundary point method [J].
Bi Chuan-Xing ;
Yuan Yan ;
He Chun-Dong ;
Xu Liang .
ACTA PHYSICA SINICA, 2010, 59 (12) :8646-8654
[2]   GENERALIZED CROSS-VALIDATION AS A METHOD FOR CHOOSING A GOOD RIDGE PARAMETER [J].
GOLUB, GH ;
HEATH, M ;
WAHBA, G .
TECHNOMETRICS, 1979, 21 (02) :215-223
[3]   TRUNCATED SINGULAR VALUE DECOMPOSITION SOLUTIONS TO DISCRETE ILL-POSED PROBLEMS WITH ILL-DETERMINED NUMERICAL RANK [J].
HANSEN, PC .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1990, 11 (03) :503-518
[4]   THE USE OF THE L-CURVE IN THE REGULARIZATION OF DISCRETE III-POSED PROBLEMS [J].
HANSEN, PC ;
OLEARY, DP .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (06) :1487-1503
[5]   Data Extrapolation Method Based on Patch Near-Field Acoustic Holography [J].
Jia, Wen-qiang ;
Chen, Jin ;
Li, Jia-qing ;
Yang, Chao .
ACTA ACUSTICA UNITED WITH ACUSTICA, 2009, 95 (01) :142-150
[6]   NEARFIELD ACOUSTIC HOLOGRAPHY .1. THEORY OF GENERALIZED HOLOGRAPHY AND THE DEVELOPMENT OF NAH [J].
MAYNARD, JD ;
WILLIAMS, EG ;
LEE, Y .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 78 (04) :1395-1413
[7]   Experimental validations of the HELS method for reconstructing acoustic radiation from a complex vibrating structure [J].
Rayess, N ;
Wu, SF .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2000, 107 (06) :2955-2964
[8]   Data extrapolation method for boundary element method-based near-field acoustical holography [J].
Saijyou, K ;
Uchida, H .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2004, 115 (02) :785-796
[9]   Reduction methods of the reconstruction error for large-scale implementation of near-field acoustical holography [J].
Saijyou, K ;
Yoshikawa, S .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 110 (04) :2007-2023
[10]  
Tihonov Andrei Nikolajevits, 1963, SOV MATH DOKL, V4, P1035