全息声压场的加权范数外推方法

徐亮; 毕传兴; 王慧; 许滨; 陈心昭

doi:10.7498/aps.60.114304

摘要

全息声压外推是Patch近场声全息技术的关键步骤.本文提出了全息声压的加权范数外推方法,该方法首先通过实测声压数据的功率谱信息构造频域加权范数,然后通过极小化频域加权范数实现全息声压外推.由于外推过程中同时利用了声压信号的波数域带宽和波数谱形状信息,因此其外推结果优于传统带限外推方法.数值仿真结果表明,该方法无论在外推精度还是计算效率上都明显优于经典的全息声压波数域外推方法.刚性箱体上的声激励固支板声压外推实验进一步验证了该方法的有效性和实用性.

关键词:

Abstract

Hologram pressure extrapolation is a key process of Patch nearfield acoustic holography. In this paper, a pressure extrapolation method based on the weighted norm extrapolation is proposed, in which the auto-power spectrum of hologram pressure estimated by the measured data is used as a weighting function to build the weighted norm, and the hologram pressure extrapolation is realized by minimizing the weighted norm. Because both the spectrum shape and the bandwidth information about hologram pressure are utilized during the extrapolation, a more accurate extrapolated result can be achieved. The validity of the proposed method is proved by a numerical simulation and an experiment study. The simulation results show that the proposed method has obviously advantages in accurcy and computational efficiency compared with the classic wave number domain extrapolation method. Furthermore, the proposed method is used to extrapolate a pressure field generated by a camped steel plate in experiment and a satisfactory result is obtained.

Keywords:

作者及机构信息

1.
合肥工业大学噪声振动工程研究所,合肥 230009;

2.
中国科学院合肥智能机械研究所,合肥 230031

基金项目: 国家自然科学基金(批准号:10974040, 11004045)、教育部新世纪优秀人才支持计划(批准号:NCET-08-0767)、高等学校博士学科点专项科研基金(批准号:20100111110007)和安徽省自然科学基金(批准号:11040606Q35)资助的课题.

Authors and contacts

1.
Institute of Sound and Vibration Research, Hefei University of Technology, Hefei 230009, China;

2.
Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230031, China

参考文献

[1]	Saijyou K, Yoshikawa S 2001 J. Acoust. Soc. Am. 110 2007
[2]	Williams E G 2003 J. Acoust. Soc. Am. 113 1273
[3]	Williams E G, Houston B H, Herdic P C 2003 J. Acoust. Soc. Am. 114 1322
[4]	Williams E G 2003 Pro. Internoise, Jeju Korea, August 25-28, 2003 p2187
[5]	Saijyou K, Uchida H 2004 J. Acoust. Soc. Am. 115 785
[6]	Lee M Y, Bolton J S 2005 J. Acoust. Soc. Am. 118 3721
[7]	Lee M Y, Bolton J S 2007 J. Acoust.Soc.Am. 122 1662
[8]	Xu L, Bi C X, Chen J, Chen X Z 2007 Acta Phys. Sin. 56 2776(in Chinese) [徐亮、毕传兴、陈剑、陈心昭 2007 物理学报 56 2776]
[9]	Bi C X, Yuan Y, He C D, Xu L 2010 Acta Phys. Sin. 59 8646 (in Chinese) [毕传兴、袁燕、贺春东、徐亮 2010 物理学报 59 8646]
[10]	Cabrera S D, Parks T W 1991 IEEE Trans. Sign. Proc. 39 842
[11]	Gorodnitsky L F, Rao B D 1993 ICASSP-93 Minneapolis, USA, April 27-30, 1993 p456
[12]	Brito A E, Chan S H, Cabrera S D 1999 Proceedings of the SPIE Algorithm for SAR Radar Imagery VI, Orlando, USA, April 5-9 1999, p78
[13]	Hayes M H 1996 Statistical Digital Signal Processing and Modeling (New York: John Wiley & Sons, Inc) p393
[14]	Lim J S 1990 Two-Dimensional Signal and Image Processing (Englewood Cliffs: Prentice-Hall) p202,213

施引文献

[1]	Saijyou K, Yoshikawa S 2001 J. Acoust. Soc. Am. 110 2007
[2]	Williams E G 2003 J. Acoust. Soc. Am. 113 1273
[3]	Williams E G, Houston B H, Herdic P C 2003 J. Acoust. Soc. Am. 114 1322
[4]	Williams E G 2003 Pro. Internoise, Jeju Korea, August 25-28, 2003 p2187
[5]	Saijyou K, Uchida H 2004 J. Acoust. Soc. Am. 115 785
[6]	Lee M Y, Bolton J S 2005 J. Acoust. Soc. Am. 118 3721
[7]	Lee M Y, Bolton J S 2007 J. Acoust.Soc.Am. 122 1662
[8]	Xu L, Bi C X, Chen J, Chen X Z 2007 Acta Phys. Sin. 56 2776(in Chinese) [徐亮、毕传兴、陈剑、陈心昭 2007 物理学报 56 2776]
[9]	Bi C X, Yuan Y, He C D, Xu L 2010 Acta Phys. Sin. 59 8646 (in Chinese) [毕传兴、袁燕、贺春东、徐亮 2010 物理学报 59 8646]
[10]	Cabrera S D, Parks T W 1991 IEEE Trans. Sign. Proc. 39 842
[11]	Gorodnitsky L F, Rao B D 1993 ICASSP-93 Minneapolis, USA, April 27-30, 1993 p456
[12]	Brito A E, Chan S H, Cabrera S D 1999 Proceedings of the SPIE Algorithm for SAR Radar Imagery VI, Orlando, USA, April 5-9 1999, p78
[13]	Hayes M H 1996 Statistical Digital Signal Processing and Modeling (New York: John Wiley & Sons, Inc) p393
[14]	Lim J S 1990 Two-Dimensional Signal and Image Processing (Englewood Cliffs: Prentice-Hall) p202,213

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