球谐函数展开的个性化双耳时间差模型

基于空间球谐函数展开,提出了一种空间方向连续的个性化双耳时间差(ITD)模型,并导出了ITD测量的空间采样理论。52名受试者的计算结果表明,本文模型所包含的前六阶球谐展开项可充分表征ITD的空间变化特性,包括左右对称和前后不对称。利用39个空间方向的ITD测量值可准确重构空间方向连续的个性化ITD函数,而利用头部和耳部的四个生理参数的测量值,也可近似预测空间方向连续的个性化ITD函数。本文模型的结构和精度均优于现有的同类模型,可应用于个性化ITD的简化测量以及生理参数定制。 

Individualized interaural time difference model based on spherical harmonic function expansion

On the basis of spherical harmonic expansion,a spatially continuous and individual interaural time difference (ITD) model is proposed.Correspondingly,the spatial sampling theorem of ITD is derived.Calculations of ITDs measured from 52 human subjects demonstrate that the proposed ITD model,which is represented as a weighted sum of spherical harmonics up to degree 6,is adequate to describe the spatial characteristics of ITD including left-right symmetry and front-back asymmetry.The spatially continuous ITD for a specific subject can be accurately reconstructed from 39 measured ITDs at different spatial directions,or approximately reconstructed by four headand pinna-related anthropometric parameters.The proposed ITD model is superior to existing ITD models in aspects of model structure and accuracy,and is helpful to simplification of ITD measurement as well as anthropometry-based customization of ITD.