平面近场声全息算法能够根据全息面上记录的数据重建三维声场的参数，但是对飞机、舰船等大型设备而言，全息面的大小很难满足常规平面近场声全息算法的条件。Patch近场声全息算法能很好地解决这个问题。本文对FFT数据外推算法、PGA数据外推算法、SONAH算法这3种常用的Patch近场声全息算法的计算过程进行推导，考虑方形平面全息面时，通过仿真分析了FFT数据外推算法、PGA数据外推算法、SONAH算法重建结果，并比较了重建误差。研究表明，当全息面为方形平面时，在同等条件下基于能量带限外推方法的重构误差最小。
The planar near-field acoustic holography can reconstruct the parameters of the three-dimensional sound field according to the data recorded on the holographic surface. However, it is difficult for the large-scale equipment such as aircraft and ship to satisfy the condition of the conventional planar near-field acoustic holographic algorithm.The Patch near field acoustic holographic algorithm can solve this problem very well. In this paper, the calculation process of three commonly used Patch near-field acoustic holographic algorithms such as FFT data extrapolation algorithm, PGA data extrapolation algorithm and SONAH algorithm are deduced. Considering the square planar holographic surface, the reconstructed surface sound pressure is reconstructed using the the FFT data extrapolation algorithm, PGA data extrapolation algorithm and SONAH algorithm, and the reconstruction errors are compared. The results show that the reconstruction error based on the energy band extrapolation method is the smallest under the same condition when the holographic surface is a square plane.
2018,40(7): 111-115 收稿日期：2017-02-20
DOI：10.3404/j.issn.1672-7649.2018.07.020
分类号：TB52
基金项目：国家自然科学基金资助项目（51579242）
作者简介：田湘林(1983-),男,博士,研究方向为近场声全息技术
参考文献：
[1] MAYNARD J D, WILLIAMS E G, LEE Y. Nearfield acoustic holography I:Theory of generalized holography and the development of NAH[J]. Acoustical Society of America, 1985, 78(4):1395-1413.
[2] VERONESI W A, MAYNARD J D. Nearfield acoustic holography (NAH) Ⅱ:Holographic reconstruction algorithms and computer implementation[J]. Acoustical Society of America, 1987, 81(5):1307-1322.
[3] 陈心昭, 毕传兴. 近场声全息技术及其应用[M]. 北京:科学出版社, 2013.
[4] VERONESI W A, MAYNARD J D. Digital holography reconstruction of sources with arbitrarily shaped surface[J]. Acoustical Society of America, 1989, 85(2):588-598.
[5] 毕传兴, 陈剑, 周广林, 等. 分布源边界点法在声场全息重建和预测中的应用[J]. 机械工程学报, 2003, 39(8):81-85.
[6] WILLIAMS E G, HOUSTON B H, HERDIC P C. Fast Fourier transform and singular value decomposition formulations for patch nearfield acoustical holography. J. Acoust. Soc. Am., 2003, 114(3):1322-1333.
[7] SAIJYOU K, YOSHIKAWA S. Reduction methods of the reconstruction error for large-scale implementation of near-field acoustical holography. J. Acoust. Soc. Am., 2001, 110(4):2007-2023.
[8] SAIJYOU K. Regularization method of patch near-field acoustical holography for planar geometry. Proceedings of Inter-Noise, Jeju, 2003:2195-2202.
[9] LEE M Y, BOLTON J S. Patch near-field acoustical holography in cylindrical geometry. J. Acoust. Soc. Am., 2005, 118(6):3721-3732.
[10] LEE M Y, BOLTON J S. A one-step patch near-field acoustical holography. J. Acoust. Soc. Am., 2007, 122(3):1662-1670.
