论文:2018,Vol:36,Issue(4):649-655
引用本文:
王岩, 陈克安, 胥健. 基于HOA的圆柱腔低频声场重构[J]. 西北工业大学学报
Wang Yan, Chen Kean, Xu Jian. Low Frequency Sound Field Reproduction within a Cylindrical Cavity Using Higher Order Ambisonics[J]. Northwestern polytechnical university

基于HOA的圆柱腔低频声场重构
王岩, 陈克安, 胥健
西北工业大学 航海学院, 陕西 西安 710072
摘要:
利用扬声器重构声场的传统方法是求解声学逆问题,计算最小二乘意义下次级声源驱动函数,缺点是测量时需要布置大量传感器且只能有效重构声阵列区域附近的声场。为了克服该缺陷,提出利用高阶Ambisonics(higher order ambisonics,HOA)技术重构封闭空间低频声场。针对腔内基于声模态的传播特性,推导了相关重构公式并分析其重构特性。结果表明,当重构参数kr较小时,波数域内格林函数谱分量主要集中于低阶成分且主要由低阶声模态贡献,随着kr的增大,其高阶成分变大且高阶声模态的贡献增大。在重构时,重构滤波器对球阵以外区域的高阶谱分量有明显放大,意味着对测量噪声也有明显放大,而对球阵内部有明显抑制。在此基础上,从声场采集、影响因素及重构效果等方面对HOA与声学逆问题方法进行对比。仿真结果表明,HOA优于声学逆问题方法,对整个声腔都有较好的重构,其重构精度与区域范围取决于球谐函数的截断阶数。最后,在圆柱形舱室模型内进行了实验验证,HOA方法取得了较好的重构结果,展示出良好的工程应用前景。
关键词:    声场重构    圆柱声腔    球谐函数分解   
Low Frequency Sound Field Reproduction within a Cylindrical Cavity Using Higher Order Ambisonics
Wang Yan, Chen Kean, Xu Jian
School of Marine Science and Technology, Northwestern Polytechnic University, Xi'an 710072
Abstract:
Sound field reproduction of the aircraft and submarine within a cabin mock-up using a loudspeaker array is of great importance to the active noise control technology. The conventional method is to calculate the driving functions of the secondary sources by solving an acoustic inverse problem in a least square sense, which requires a large number of microphones and only the sound field near the microphone array can be reproduced accurately. In order to overcome these drawbacks, higher order ambisonics (HOA) method which is widely used in spatial sound field synthesis for a large room is introduced to reproduce a low frequency sound field within a cylindrical cavity. Due to the different sound propagation characteristics within the cavity compared with a free field and a diffuse field, the Green function spectrum in spherical harmonics domain which is modeled as a superposition of the acoustic modes and the reproduction formulas are deduced. Reproduction characteristics are investigated by numerical simulations. Results show that for a small, the Green function spectrum in spherical harmonics domain is mainly concentrated on low orders and contributed by the low order acoustic modes, with the increase of, high order components of the Green function arise and the contributions of high order acoustic modes increase. In the reproduction process, the high order components of the pressure spectrum over the sphere in harmonics domain will be greatly amplified by the reproduction filter. Finally, HOA method is compared with the acoustic inversion method in terms of the microphone array system, the impact factors on the reproductions and the reproduction accuracy, and validated through experiments. Results show that HOA can better reproduce the entire sound field within the cylindrical cavity and the reproduction accuracy is improved.
Key words:    higher order ambisonics    sound field reproduction    cylindrical cavity    spherical harmonics decomposition    concatenated codes    design of experiments   
收稿日期: 2017-05-06     修回日期:
DOI:
基金项目: 中央财政专项基金(MJ-2015-F044)资助
通讯作者:     Email:
作者简介: 王岩(1983-),西北工业大学博士研究生,主要从事封闭空间声场重构研究。
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参考文献:
[1] 陈克安. 有源噪声控制[M]. 2版. 北京:国防工业出版社. 2014:296-308 Chen Kean. Active Noise Control[M]. Second Edition. Beijing, Defense Industry Press, 2014:296-308(in Chinese)
[2] Nelson P A, Yoon S H. Estimation of Acoustics Source Strength by Inverse Method:Part I, Conditioning of the Inverse Problem[J]. Journal of Sound and Vibration, 2000, 233(4):643-668
[3] Filippo M F. Sound Field Reproduction[D]. Dissertation England, University of Southampton, 2010
[4] Gauthier P A, Camier C, Pasco A, et al. Beamforming Regularization Matrix and Inverse Problems Applied to Sound Field Measurement and Extrapolation Using Microphone Array[J]. J Sound Vib, 2011,330(24):5852-5877
[5] Gauthier P A, Camier C, Gauthier O. Aircraft Sound Environment Reproduction:Sound Field Reproduction inside a Cabin Mock-UP Using Microphone and Actuator Arrays[C]//Proc of Meetings on Acoustics, Montreal Canada, 2013
[6] Daniel J, Nicol R, Moreau S. Further Investigations of High Order Ambisonics and Wavefield Synthesis for Holophonic Sound Imaging[C]//AES 114th Convention, Amsterdam Netherlands, 2003
[7] Ahrens J. Analytic Methods of Sound Field Synthesis[M]. Berlin, Springer, 2012
[8] Zhang W, Abhayapala T D. 2.5D Sound Field Reproduction in Higher Order Ambisonics[C]//International Workshop on Acoustic Signal Enhancement, 2014:342-346
[9] Spors S, Buchner H, Rabenstein R. Active Listening Room Compensation for Massive Multichannel Sound Reproduction Systems Using Wave-Domain Adaptive Filtering[J]. J Acoust Soc Am, 2007, 122(1):354-360
[10] Betlehem T, Abhayapala T D. Theory and Design of Sound Field Reproduction in Reverberant Rooms[J]. J Acoust Soc Am, 2005, 117(4):2100-2111
[11] Betlehem T, Poletti M A. Two Dimensional Sound Field Reproduction Using Higher Order Sources to Exploit Room Reflections[J]. J Acoust Soc Am, 2014, 135(4):1820-1833
[12] Wang Y, Chen K. Low Frequency Sound Spatial Encoding within an Enclosure Using Spherical Microphone Arrays[J]. J Acoust Soc Am, 2016, 140(1):384-392
[13] Wang Y, Chen K. Compressive Sensing Based Spherical Harmonics Decomposition of a Low Frequency Sound Field within a Cylindrical Cavity[J]. J Acoust Soc Am, 2017, 141(3):1812-1823
[14] Williams E G. Fourier Acoustics:Sound Radiation and Nearfield Acoustical Holography[M]. New York, Academic 1999