论文标题
基于超球形谐波的连续与头部相关的传递函数表示
Continuous head-related transfer function representation based on hyperspherical harmonics
论文作者
论文摘要
在球形谐波（SH）结构域中表达与头部相关的传递函数（HRTF）已被彻底研究，作为在空间上获得连续性的一种方法。但是，HRTF不仅是方向的函数，而且是频率的函数。本文提出了基于SH的方法的扩展，该方法利用超透明谐波（HSHS）获得了在空间和频率上均连续的HRTF表示。 HSH近似的应用导致一组相对较小的系数，这些系数可以在任何方向和频率下被解码为HRTF值。本文讨论了通过将方法应用于从示例性HRTF测量中提取的幅度光谱获得的结果。基于SHS和HSHS的HRTF表示表现出相似的繁殖精度，后者具有在空间和频率上的连续性，并且需要较低的系数。开发的基于HSH的连续功能模型可以用于多种目的，例如用于机器学习应用程序的插值，压缩或参数化。
Expressing head-related transfer functions (HRTFs) in spherical harmonic (SH) domain has been thoroughly studied as a method of obtaining continuity over space. However, HRTFs are functions not only of direction but also of frequency. This paper presents an extension of the SH-based method, utilizing hyperspherical harmonics (HSHs) to obtain an HRTF representation that is continuous over both space and frequency. The application of the HSH approximation results in a relatively small set of coefficients which can be decoded into HRTF values at any direction and frequency. The paper discusses results obtained by applying the method to magnitude spectra extracted from exemplary HRTF measurements. The HRTF representations based on SHs and HSHs exhibit similar reproduction accuracy, with the latter one featuring continuity over both space and frequency and requiring much lower number of coefficients. The developed HSH-based continuous functional model can serve multiple purposes, such as interpolation, compression or parametrization for machine-learning applications.
