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In order to reconstruct the sound field of target sources in non-free sound field, a method of sound field separation and reconstruction is presented based on spatial resampling with single layer microphone array. In this method, the spherical harmonics are taken as the basis functions, and the spherical harmonics of different orders are added to describe the mathematical model of the sound field. On the basis of the nearfield acoustic holography, the coefficients of the basis functions can be obtained with two groups' sound pressures resampled from the microphone array, then the sound fields generated by the sound sources on both sides of the microphone array are separated. The mathematical model is validated against the benchmark values. A non-free sound field with a radially oscillating sphere and a transversely oscillating rigid sphere is built, and the impact of various parameters such as the signal to noise ratio, the geometric shape and area of the microphone array, location of target sound source, and frequency of signals on the accuracy of separation is examined. Finally, some suggestions are given for the industrial application of the above method.
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Keywords:
- non-free sound field /
- nearfield acoustic holography /
- spatial resampling /
- sound wave separation
[1] Maynard J D, Williams E G, Lee Y 1985 J. Acoust. Soc. Am. 78 1395
[2] Wu S F 2008 J. Acoust. Soc. Am. 124 2680
[3] Veronesi W A, Maynard J D 1987 J. Acoust. Soc. Am. 81 1307
[4] Pachner J 1956 J. Acoust. Soc. Am. 28 90
[5] Weinreich G, Arnold E B 1980 J. Acoust. Soc. Am. 68 404
[6] Yu F, Chen J, Chen X Z 2003 Acta Acustica 28 385(in Chinese) [于飞, 陈剑, 陈心昭 2003 声学学报 28 385]
[7] Li W B, Chen J, Yu F, Bi C X, Chen X Z 2005 Acta Phys. Sin. 54 1253(in Chinese) [李卫兵, 陈剑, 于飞, 毕传兴, 陈心昭 2005 物理学报 54 1253]
[8] Jacobsen F, Liu Y 2005 J. Acoust. Soc. Am. 118 3139
[9] Zhang Y B, Jacobsen F, Bi C X, Chen X Z 2009 J. Acoust. Soc. Am. 126 721
[10] Fernandez-Grande E, Jacobsen F 2011 J. Acoust. Soc. Am. 130 5
[11] Fernandez-Grande E, Jacobsen F, Leclere Q 2012 J. Acoust. Soc. Am. 132 3818
[12] Bi C X, Hu D Y, Zhang Y B, Xu L 2013 Acta Phys. Sin. 62 084301(in Chinese) [毕传兴, 胡定玉, 张永斌, 徐亮 2013 物理学报 62 084301]
[13] Jacobsen F, Jaud V 2007 J. Acoust. Soc. Am. 121 1550
[14] Zhang Y B, Chen X Z, Jacobsen F 2009 J. Acoust. Soc. Am. 125 3518
[15] Zhang Y B, Xu L, Bi C X, Chen X Z 2009 Acta Phys. Sin. 58 8364(in Chinese) [张永斌, 徐亮, 毕传兴, 陈心昭 2009 物理学报 58 8364]
[16] Bi C X, Zhang Y B, Xu L, Chen X Z 2010 Acta Acustica 35 653(in Chinese) [毕传兴, 张永斌, 徐亮, 陈心昭 2010 声学学报 35 653]
[17] Wang Z, Wu S F 1997 J. Acoust. Soc. Am. 102 2020
[18] Wu S F 2000 J. Acoust. Soc. Am. 107 2511
[19] Lu H, Wu S F 2009 J. Acoust. Soc. Am. 125 1538
[20] Wu S F 2004 J. Acoust. Soc. Am. 115 207
[21] Zhang H B, Jiang W K, Xue W F, Liao C J 2008 J. Vib. Shock 27 93(in Chinese) [张海滨, 蒋伟康, 薛玮飞, 廖长江 2008 振动与冲击 27 93]
[22] Choi J W 2013 J. Acoust. Soc. Am. 134 3998
[23] Williams E G 1999 Fourier Acoustics-Sound Radiation and Nearfield Acoustic Holography (1st Ed.) (London: Academic Press) pp 183-193
[24] Pierce A D 1989 Acoustics: An Introduction to Its Physical Principles and Applications (New York: the Acoustical Society of America ) pp 153-158
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[1] Maynard J D, Williams E G, Lee Y 1985 J. Acoust. Soc. Am. 78 1395
[2] Wu S F 2008 J. Acoust. Soc. Am. 124 2680
[3] Veronesi W A, Maynard J D 1987 J. Acoust. Soc. Am. 81 1307
[4] Pachner J 1956 J. Acoust. Soc. Am. 28 90
[5] Weinreich G, Arnold E B 1980 J. Acoust. Soc. Am. 68 404
[6] Yu F, Chen J, Chen X Z 2003 Acta Acustica 28 385(in Chinese) [于飞, 陈剑, 陈心昭 2003 声学学报 28 385]
[7] Li W B, Chen J, Yu F, Bi C X, Chen X Z 2005 Acta Phys. Sin. 54 1253(in Chinese) [李卫兵, 陈剑, 于飞, 毕传兴, 陈心昭 2005 物理学报 54 1253]
[8] Jacobsen F, Liu Y 2005 J. Acoust. Soc. Am. 118 3139
[9] Zhang Y B, Jacobsen F, Bi C X, Chen X Z 2009 J. Acoust. Soc. Am. 126 721
[10] Fernandez-Grande E, Jacobsen F 2011 J. Acoust. Soc. Am. 130 5
[11] Fernandez-Grande E, Jacobsen F, Leclere Q 2012 J. Acoust. Soc. Am. 132 3818
[12] Bi C X, Hu D Y, Zhang Y B, Xu L 2013 Acta Phys. Sin. 62 084301(in Chinese) [毕传兴, 胡定玉, 张永斌, 徐亮 2013 物理学报 62 084301]
[13] Jacobsen F, Jaud V 2007 J. Acoust. Soc. Am. 121 1550
[14] Zhang Y B, Chen X Z, Jacobsen F 2009 J. Acoust. Soc. Am. 125 3518
[15] Zhang Y B, Xu L, Bi C X, Chen X Z 2009 Acta Phys. Sin. 58 8364(in Chinese) [张永斌, 徐亮, 毕传兴, 陈心昭 2009 物理学报 58 8364]
[16] Bi C X, Zhang Y B, Xu L, Chen X Z 2010 Acta Acustica 35 653(in Chinese) [毕传兴, 张永斌, 徐亮, 陈心昭 2010 声学学报 35 653]
[17] Wang Z, Wu S F 1997 J. Acoust. Soc. Am. 102 2020
[18] Wu S F 2000 J. Acoust. Soc. Am. 107 2511
[19] Lu H, Wu S F 2009 J. Acoust. Soc. Am. 125 1538
[20] Wu S F 2004 J. Acoust. Soc. Am. 115 207
[21] Zhang H B, Jiang W K, Xue W F, Liao C J 2008 J. Vib. Shock 27 93(in Chinese) [张海滨, 蒋伟康, 薛玮飞, 廖长江 2008 振动与冲击 27 93]
[22] Choi J W 2013 J. Acoust. Soc. Am. 134 3998
[23] Williams E G 1999 Fourier Acoustics-Sound Radiation and Nearfield Acoustic Holography (1st Ed.) (London: Academic Press) pp 183-193
[24] Pierce A D 1989 Acoustics: An Introduction to Its Physical Principles and Applications (New York: the Acoustical Society of America ) pp 153-158
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