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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.
[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 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 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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[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 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 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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