耳廓旋转角的测量结果与头部初始位置有关,不同的耳廓旋转角测量方法可能影响个性化头相关传输函数(HRTF)的仰角分布特性. 文中分别采用面部垂直参考面和法兰克福水平参考面测量并比较了 60 名受试者的耳廓旋转角,发现两种方法所得均值相差 5°左右. 为了分析耳廓旋转角对个性化 HRTF 空间分布的影响,将一个左耳廓在同一个椭球上按 5°间隔旋转,得到耳廓旋转角分别为 16°、11°和 6°的 3 个计算模型. 然后,用快速多极边界元方法(FM-BEM)计算分析了 3 个耦合模型的 HRTF 数据. 结果表明:不同耳廓旋转角条件下,HRTF 的耳廓高频谷点的频率差异可以达到约 1. 0 kHz,某些角度的谷点幅度差异可达到约 10 dB. 最后,用空间坐标变换方法定制不同耳廓旋转角的个性化HRTF,结果表明,定制 HRTF 的耳廓谷点频率和幅度与直接通过数值计算的 HRTF 基本吻合,证明个性化耳廓旋转角定制方法有效.
The measured value of pinna rotation angle depends on subject's original head position,and the corre- sponding measurement methods of pinna rotation angle may affect the distribution of individual head-related transfer functions (HRTFs) in various elevations.In this paper,both face-based vertical reference plane and Frankfurt refe- rence plane are used to measure and compare the pinna rotation angles of 60 human subjects,and a mean diffe- rence of about 5° is obtained.Then,in order to discover the effect of pinna rotation angle on the spatial distribution of individual HRTFs,the left pinna is rotated on the same ellipsoidal head model with an interval of 5°,and three calculation models respectively corresponding to the pinna rotation angles of 16°,11° and 6° are obtained.Moreo- ver,the HRTFs of the three coupling models are calculated and analyzed by means of the fast multi-pole boundary element method (FM-BEM). The results show that the frequency discrepancy of the pinna notches at high frequen- cies reaches about 1.0kHz,and that the magnitude difference even reaches about 10dB in some directions.In ad- dition,from the individual HRTFs customized via spatial coordinate transformation,it is found that the frequencies and magnitude of pinna notches of the customized HRTFs are similar to those of directly-calculated HRTFs,which means that the proposed individual customization method for individual pinna rotation angle is effective.