混合阶Ambisonics声重放系统的稳定性分析
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- 英文论文题名：Analysis on the stability of mixed-order Ambisonics reproduction system
- 论文作者：麦海明 ; 谢菠荪
- 英文论文作者：MAI Hai-ming ; XIE Bo-sun ; Acoustic Lab ; School of Physics and Optoeletronics ; South China University of Technology
- 年：2016
- 作者机构：华南理工大学物理与光电学院声学研究所;
- 论文关键词：混合阶Ambisonics ; 条件数 ; 稳定性
- 英文论文关键词：mixed-order Ambisonics ; condition number ; stability
- 会议召开时间：2016-10-28
- 会议录名称：2016年全国声学学术会议论文集
- 语种：中文
- 分类号：TN643
- 学会代码：OGSM
- 会议名称：2016年全国声学学术会议
- 会议地点：中国湖北武汉
- 主办单位：中国声学学会
- 学会名称：中国声学学会
- 页数：4
- 文件大小：513k
- 原文格式：D
- 会议级别：全国
摘要
Ambisonics是一系列基于声场的各阶空间谐波分解和各阶近似的空间声重放系统。增加Ambisonics的阶数可以改善重放声场方向信息的准确性,但同时也增加所需扬声器的数目。考虑到听觉系统对水平面空间信息的分辨率较垂直方向高,混合阶Ambisonics采用较高阶的空间谐波重构水平面方向声场,用较低阶的空间谐波重构垂直方向的声场。本文以分层式扬声器布置为例,通过对扬声器位置矩阵条件数的分析,研究了混合阶Ambisonics声重放系统的稳定性,并进一步讨论了混合阶Ambisonics的三维阶数和二维水平面阶数对系统稳定性的影响。结果表明,该类系统的稳定性可按三维重放的情况进行预测。在水平面扬声器数目满足方位角采样定理的情况下,对于一定的三维阶数,虽然位置矩阵的条件数随二维阶数有微小的增加,但对整体稳定性影响较小。
Ambisonics is a series of spatial sound reproduction system based on spatial harmonics decomposition and each order approximation of sound field. Increasing the order of Ambisonics improves the directional accuracy of reproduced sound field, but at the same time, requires more loudspeakers. Considering that the horizontal resolution of human hearing is higher than vertical resolution, mixed-order Ambisonics reconstructs horizontal sound field with higher order spatial harmonics, while reconstructs vertical sound field with lower order spatial harmonics. Taken the layer-wise loudspeaker arrangement as an example, the present work analyzes the stability of mixed-order Ambisonics reproduction by calculating the condition number of loudspeaker position matrix, and then explores the influence of horizontal and three-dimensional order on the stability of Ambisonics reproduction. The results indicate that the stability of mixed-order Ambsonics can be predicted identical to the case of three-dimensional order reproduction. When the number of horizontal loudspeakers fulfils the requirement of spatial sampling theorem, for a given three-dimensional order, the condition number of loudspeaker position matrix increases slightly with horizontal order but impacts little to the overall stability.
Ambisonics is a series of spatial sound reproduction system based on spatial harmonics decomposition and each order approximation of sound field. Increasing the order of Ambisonics improves the directional accuracy of reproduced sound field, but at the same time, requires more loudspeakers. Considering that the horizontal resolution of human hearing is higher than vertical resolution, mixed-order Ambisonics reconstructs horizontal sound field with higher order spatial harmonics, while reconstructs vertical sound field with lower order spatial harmonics. Taken the layer-wise loudspeaker arrangement as an example, the present work analyzes the stability of mixed-order Ambisonics reproduction by calculating the condition number of loudspeaker position matrix, and then explores the influence of horizontal and three-dimensional order on the stability of Ambisonics reproduction. The results indicate that the stability of mixed-order Ambsonics can be predicted identical to the case of three-dimensional order reproduction. When the number of horizontal loudspeakers fulfils the requirement of spatial sampling theorem, for a given three-dimensional order, the condition number of loudspeaker position matrix increases slightly with horizontal order but impacts little to the overall stability.
引文
[1]Daniel J,Moreau S,Nicol R.Further investigations of high-order Ambisonics and wavefield synthesis for holophonic sound imaging[Z].2003.
[2]Blauert J.Spatial Hearing(Revised edition)[M].MIT Press,Cambridge,MA,England,1997.
[3]Hollerweger F.An introduction to higher order Ambisonic[J].2005.
[4]Moreau S,Daniel J.Study of higher order Ambisonic microphone[C]//7ème Congrès Fran?ais d'Acoustique(Joint congress CFA-DAGA'04),2004.
[5]Favrot S,Marschall M,K?sbach J,et al.Mixed-order Ambisonics recording and playback for improving horizontal directionality[C]//Audio Engineering Society Convention 131,2011.
[6]Rafaely B.The spherical-shell microphone array[J].IEEE transactions on audio,speech,and language processing,2008,16(4):740-747.
[7]刘阳,谢菠荪.高阶Ambisonics声重放系统的稳定性分析[J].声学技术,2013(S1):247-248.LIU Yang,XIE Bosun.Analysis on the stability of high order Ambisonics reproduction system[J].Technical Acoustics,2013(S1):247-248.
[8]王永茂.矩阵分析[M].机械工业出版社,2005.WANG Yongmao.Matrix Analysis[M].China Machine Press,2005.
[9]Williams E G.Fourier Acoustics:Sound Radiation and Nearfield Acoustical Holography[M].Academic Press,1999.
[10]刘阳.Ambisonics声重放系统的稳定性与音色的研究[D].华南理工大学,2014.LIU Yang.Research on the stability and timbre of Ambisonics reproduction system[D].South China University of Technology,2014.
[11]K?sbach J.Development and evaluation of a mixed-order Ambisonics playback system[D].Technical University of Denmark,2010.
[2]Blauert J.Spatial Hearing(Revised edition)[M].MIT Press,Cambridge,MA,England,1997.
[3]Hollerweger F.An introduction to higher order Ambisonic[J].2005.
[4]Moreau S,Daniel J.Study of higher order Ambisonic microphone[C]//7ème Congrès Fran?ais d'Acoustique(Joint congress CFA-DAGA'04),2004.
[5]Favrot S,Marschall M,K?sbach J,et al.Mixed-order Ambisonics recording and playback for improving horizontal directionality[C]//Audio Engineering Society Convention 131,2011.
[6]Rafaely B.The spherical-shell microphone array[J].IEEE transactions on audio,speech,and language processing,2008,16(4):740-747.
[7]刘阳,谢菠荪.高阶Ambisonics声重放系统的稳定性分析[J].声学技术,2013(S1):247-248.LIU Yang,XIE Bosun.Analysis on the stability of high order Ambisonics reproduction system[J].Technical Acoustics,2013(S1):247-248.
[8]王永茂.矩阵分析[M].机械工业出版社,2005.WANG Yongmao.Matrix Analysis[M].China Machine Press,2005.
[9]Williams E G.Fourier Acoustics:Sound Radiation and Nearfield Acoustical Holography[M].Academic Press,1999.
[10]刘阳.Ambisonics声重放系统的稳定性与音色的研究[D].华南理工大学,2014.LIU Yang.Research on the stability and timbre of Ambisonics reproduction system[D].South China University of Technology,2014.
[11]K?sbach J.Development and evaluation of a mixed-order Ambisonics playback system[D].Technical University of Denmark,2010.