摘要
提出了球形正十二面体声源和球形头部的组合模型,利用球谐函数的多极展开和球基函数的旋转变换,得出该模型的双耳声压和近场头相关传输函数(HRTF).然后用HRTF的幅度谱误差分析球形正十二面体声源指向性和多重散射对近场HRTF测量的共同影响.结果表明:随着声源半径的减小和局部脉动单元半张角的增大,声源对近场HRTF测量的影响减弱;当声源距离不小于0.2 m、声源半径不大于0.025 m、局部脉动单元半张角不小于23.6°时,声源误差主要出现在12 kHz以上的频段;除了异侧的个别方向,HRTF的误差均控制在±3.5 dB以内,可基本满足近场HRTF的测量要求.最后自制了木质球模型和球形正十二面体声源,用个别方位测量得到的近场HRTF数据验证了计算结果的合理性.
In this paper,first,a combined model consisting of a spherical dodecahedral sound source and a spherical head model is established.Then,the binaural pressure and near-field head-related transfer function(HRTF) are calculated via the multipole expansion of spherical harmonic functions and the rotation transform of spherical basis functions.Moreover,the common influences of the directivity and multiple scattering of the spherical dodecahedral sound source on the near-field HRTF measurement are analyzed according to the magnitude spectrum errors of HRTF.The results show that(1) the effects of sound source on near-field HRTF measurement weakens with the decrease in sound source radius and with the increase in half scan angle of each local pulsating unit;(2) when the sound source distance is not less than 0.2 m,the sound source radius is not more than 0.025 m and the half scan angle is not less than 23.6°,the errors resulting from the source generally appear at the frequencies more than 12 kHz;(3) except for some contralateral directions,the errors of HRTF are controlled within ±3.5 dB,which basically satisfies the requirements of the near-field HRTF measurement.The proposed method is finally proved valid and applicable by the data measured in some particular directions with the help of a self-fabricated wood sphere and a practical spherical dodecahedron sound source.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第12期94-99,共6页
Journal of South China University of Technology(Natural Science Edition)
基金
国家自然科学基金青年基金资助项目(11104082)
广东省自然科学基金资助项目(x2lxB6100320)
广东高校优秀青年创新人才培养计划资助项目(LYM10012)
华南理工大学中央高校基本科研业务费专项资金资助项目(2011ZM0092)
关键词
声源指向性
正十二面体
HRTF
方位测量
误差分析
近场
球形
头相关传输函数
spherical dodecahedron sound source
near-field measurement
head-related transfer function
multiple scattering
directivity
