基于个体张量分解与模态的头相关传输函数重构  

Reconstruction head-related transfer function from individualized tensor decomposition and modes

作　　者：赵童 谢菠荪 朱俊 梁林达 ZHAO Tong;XIE Bosun;ZHU Jun;LIANG Linda(School of Physics and Optoelectronics,South China University of Technology,Guangzhou 510641)

机构地区：[1]华南理工大学,物理与光电学院,声学研究所,广州510641

出　　处：《声学学报》2023年第1期215-224,共10页Acta Acustica

基　　金：国家自然科学基金资助项目(12174118)资助。

摘　　要：远场头相关传输函数(HRTF)随声源方向、频率以及个体变化。完整HRTF的数据量很大,且测量或计算每个人的高方向分辨率HRTF是很困难的。本文提出一种从少量方向的测量或计算重构高方向分辨率HRTF的方法。基于HRTF张量分解,远场HRTF可分解为方向模态、频率模态和少量个体模态的张量组合。通过对已有的基线HRTF数据库进行统计分析,可得到与个体无关的方向模态矩阵和频率模态矩阵。而对于任何新的个体,只要少量方向的测量或计算HRTF即可估计出个体模态的变化,并重构出高方向分辨率的HRTF数据。对两个HRTF数据库的计算表明,采用11个个体模态即可表示超过98%的个体相关的HRTF能量变化,并从大约30个方向的测量或计算HRTF重构出高方向分辨率的HRTF幅度。心理声学实验验证了提出的方法。该方法可用于简化个性化HRTF的测量或计算。Far-field Head-Related Transfer Functions(HRTFs) vary with source direction,frequency and individual.Correspondingly,the dimensionality of a full set of HRTFs is huge and measurement or calculation of individualized HRTFs with high directional resolution could be difficult.A method to construct HRTFs with high directional resolution from a small set of directional measurements or calculations is proposed in present paper.Based on tensor decomposition of HRTFs,far-field HRTFs are decomposed into a combination of directional modes,frequency modes and a few of individual modes.The individual-independent matrices of directional modes and frequency modes are derived by statistical analysis on a known base-line HRTF database.For arbitrary new individual,the individual mode can be estimated from measured or calculated HRTFs at a small set of directions,then the HRTFs with high directional resolution are reconstructed.Calculation from two base-line HRTF databases indicates that 11 individual modes account for more than98% individual-related energy variation of HRTFs;and HRTFs with high directional resolution can be reconstructed from about 30 directional measurements or calculation.A psychoacoustic experiment validates the analysis.The present method is applicable to simplify individualized HRTF measurement or calculation.

关 键 词：头相关传输函数 统计分析 模态矩阵 张量分解 心理声学 能量变化 数据库 HRTF 

分 类 号：TN912.3[电子电信—通信与信息系统]