不同测量对头相关传输函数的听觉影响

头相关传输函数(HRTF)是虚拟听觉重放的核心·目前,HRTF的实验室测量缺乏统一的规范。本文研究了不同测量对HRTF的听觉影响。首先提出了扩散场均衡的预处理方法,并对来自5个不同数据库的KEMAR假人的HRTF数据进行了扩散场均衡;然后,采用谱差异评估了不同数据库HRTF测量的频谱差异;最后,采用HRTF合成的虚拟声信号开展了一系列的主观听音实验,包括定位实验和区分实验·结果表明,扩散场均衡是一种有效的HRTF预处理方法,可以减小不同测量对HRTF频谱的影响;不同测量基本上不影响HRTF在12 kHz以下的定位效果,但对音色的影响较大,从而导致听觉上的可区分.      

头相关传输函数与虚拟听觉

头相关传输函数(HRTF)是自由场情况下点声源到双耳的声学传输函数,它包含了有关声源的主要空间信息,因而在双耳空间听觉的研究方面有非常重要的意义.作为HRTF的一个重要的应用,虚拟听觉则是近二十年发展起来的新技术,它利用HRTF进行信号处理,模拟出声波从声源到双耳的传输,从而在耳机或扬声器重放中虚拟出相应的空间听觉.虚拟听觉技术在有关听觉的科学实验、通信、多媒体与虚拟现实、家用声重放、室内声学设计等科学研究、工程技术、消费电子领域都有重要的应用价值.近十多年来,国际上有关HRTF和虚拟听觉技术的研究发展很快,已成为声学、信号处理、听觉等研究领域的热门与前沿课题,并已在众多的领域得到应用.     

个性化头相关传输函数的近似获取——现状和问题

虚拟听觉重放采用头相关传输函数(HRTF)合成双耳声信号,并用耳机重放,以产生所需的空间听觉事件。理想的虚拟听觉重放需要个性化HRTF。个性化HRTF可通过实验测量或数值计算相对地准确获得。然而,测量每个潜在使用者的高空间分辨率HRTF是困难的,而数值计算HRTF的频段往往受限于计算机性能。近年发展了多种HRTF的近似获取方法,并成为热门研究课题,但效果有待验证和提高。本文评述了个性化HRTF近似的研究进展,指出了存在的问题和今后的方向。     

虚拟声音色均衡信号处理方法的主客观分析

对五种用于扬声器虚拟声重发的音色均衡信号处理方法进行主观对比实验，表明不同的均衡方法存在明显的主观音色差异，以功率均衡方法音色效果最好，而不适当的音色均衡方法可能会适得其反。从信号处理的角度对音色均衡方法进行了进一步的分析，指出音色主要由信号处理函数零、极点分布决定，有效的均衡应能抵消信号处理函数在接近Z平面单位园处的极点（以及零点）。     

头相关传输函数幅度谱的听觉空间分辨阈值的分析

提出一种分析头相关传输函数(head-related transfer function,HRTF)幅度谱的听觉空间分辨阈值模型。采用数值计算得到的高空间分辨率HRTF数据,计算了声源空间位置变化引起的HRTF幅度谱的变化,进一步利用Moore响度模型分析双耳响度级差、双耳响度级谱和总响度级等三个听觉感知量的变化。根据现有的3个听觉感知量最小可察觉差异,模型利用双耳响度级差和双耳响度级谱的变化得到的估计结果与心理声学实验一致,因此是一种有效预测听觉空间分辨阈值的方法,可用于为简化虚拟听觉信号处理和数据储存。      

头相关传输函数幅度谱的听觉空间分辨阈值的分析

提出一种分析头相关传输函数(head-related transfer function,HRTF)幅度谱的听觉空间分辨阈值模型。采用数值计算得到的高空间分辨率HRTF数据,计算了声源空间位置变化引起的HRTF幅度谱的变化,进一步利用Moore响度模型分析双耳响度级差、双耳响度级谱和总响度级等三个听觉感知量的变化。根据现有的3个听觉感知量最小可察觉差异,模型利用双耳响度级差和双耳响度级谱的变化得到的估计结果与心理声学实验一致,因此是一种有效预测听觉空间分辨阈值的方法,可用于为简化虚拟听觉信号处理和数据储存。     

近场头相关传输函数的多声源快速测量系统设计与验证

近场头相关传输函数(HRTF)是双耳听觉科学研究和虚拟听觉重放应用的重要基础数据。近场HRTF测量系统要求具有高的测量效率、精度和重复性,以至于目前未见文献解决真人受试者的近场HRTF测量困难。本文研究并实现了一种计算机控制的近场HRTF的高效测量系统,并提出系统的快速校准方法,首先实现了真人受试者的近场HRTF测量。通过声学、机械与电子硬件和软件的综合设计,提高了测量效率。通过准确校准声源、受试者和双耳传声器的位置,提高了测量精确度和重复性。系统可用于1.0 m范围内不同声源距离的真人受试者以及人工头的近场HRTF测量,单个声源距离的全空间近场HRTF测量时间减少至20 min以内。测量结果表明,系统测量精度满足实际需求,可用于科学研究和个性化近场HRTF测量及数据库建立。      

一种快速合成多虚拟声源的头相关传输函数模型

提出了一种用于实时快速合成多个虚拟声源的头相关传输函数(HRTF)模型。首先对水平面的头相关脉冲响应(HRIR,头相关传输函数的时域形式)数据进行两层小波包分解,然后用一组子带滤波器和综合滤波器建立模型。子带滤波器的系数由HRIR小波系数的零插值得到,综合滤波器的系数由小波函数计算得到。通过使用阈值法对小波系数进行压缩,即可达到简化模型、减小运算量的目的。计算表明,只需要使用30点的小波系数建模,可使模型的重构误差控制在1%的量级。而心理声学实验表明,使用35点的小波系数,模型可得到和原始的HRTF滤波器相当的听觉效果。在同时合成多个虚拟声源的实时计算中,模型的运算量明显小于普通的HRTF滤波器。      

一种用于手持式播放装置的立体声扩展方法

手持式播放装置的一对立体声扬声器相对倾听者的张角窄、距离近,影响立体声重放效果。针对这类应用提出了一种立体声扩展方法,它采用远场和近场头相关传输函数(HRTF)设计听觉传输滤波器并将低频信号滤除。该方法适应了近距离扬声器重放并避免了窄张角扬声器布置带来的信号处理中过分的低频提升问题。该方法不但能改善重放性能,且对计算和存储量要求较低,适合于手持式播放装置的信号处理硬件配置。声像定位实验验证了该方法的效果。     

头相关传输函数空间采样、插值与环绕声重放

从空间方向采样的角度对头相关传输函数(HRTF)空间插值、多通路环绕声重放进行了分析,证明了它们在数学上是完全等价的,不同的HRTF空间插值方法对应于不同的多通路环绕声信号馈给,并给出了多通路环绕声信号馈给以及立体声的正弦定理更严格的数学推导。分析指出企图用相邻线性插值的方法得到侧向的HRTF是错误的,并从保证声像定位的角度,对现有的HRTF相邻线性插值公式进行了修正。分析最后指出,HRTF以及虚拟声的许多分析方法可与多通路环绕声相互借鉴。     

Spatial symmetry of head-related transfer function

Methods for analyzing the spatial symmetry of head-related transfer function (HRTF) are proposed. The influences of anatomical structures on the symmetry of HRTF are investigated using HRTFs measured on KEMAR mannequin and human subjects. Results show that for KEMAR mannequin, pinnae destroy the front-back symmetry of HRTF above 5 to 6 kHz, while for human subjects the frequency reduces to 2.5 kHz because of the locations of ears. Furthermore, at low and median frequencies, HRTF is approximately left-right symmetrical. While as frequencies increase, the asymmetry caused by the fine anatomical leftright differences appears. The starting frequency and the extent of the left-right asymmetry in HRTF depend on individuals. The analyses demonstrate the spatial symmetrical characteristics of HRTF and the frequency ranges in which the current binaural models are valid.     

Influence of measurement methodology of head-related transfer functions on auditory perception

Head-related transfer functions(HRTFs) are the core of virtual auditory display and relevant applications. However,a standard method for HRTF measurements has not been established. This work examines the influence of different HRTF measurement methodologies on auditory perception. First, the diffusion-field equalization was proposed and applied to HRTFs of a single dummy head(KEMAR) from five different datasets. Then,the spectral deviations among the HRTFs were calculated and analyzed. Finally, a series of subjective listening experiments(including localization and discrimination experiments) were conducted. Results indicate the diffusion-field equalization is an effective pre-processing method which reduces the difference in HRTF magnitude spectra caused by different measurement methodologies. Moreover,the HRTFs from different measurement methodologies have similar localization performance below 12 kHz, whereas the inter-dataset differences in timbre are distinct leading to audible discrimination.     

A priori mesh grading for the numerical calculation of the head-related transfer functions

Head-related transfer functions (HRTFs) describe the directional filtering of the incoming sound caused by the morphology of a listener’s head and pinnae. When an accurate model of a listener’s morphology exists, HRTFs can be calculated numerically with the boundary element method (BEM). However, the general recommendation to model the head and pinnae with at least six elements per wavelength renders the BEM as a time-consuming procedure when calculating HRTFs for the full audible frequency range. In this study, a mesh preprocessing algorithm is proposed, viz., a priori mesh grading, which reduces the computational costs in the HRTF calculation process significantly. The mesh grading algorithm deliberately violates the recommendation of at least six elements per wavelength in certain regions of the head and pinnae and varies the size of elements gradually according to an a priori defined grading function. The evaluation of the algorithm involved HRTFs calculated for various geometric objects including meshes of three human listeners and various grading functions. The numerical accuracy and the predicted sound-localization performance of calculated HRTFs were analyzed. A-priori mesh grading appeared to be suitable for the numerical calculation of HRTFs in the full audible frequency range and outperformed uniform meshes in terms of numerical errors, perception based predictions of sound-localization performance, and computational costs.     

Design and validation on a multiple sound source fast-measurement system of near-field head-related transfer functions

Near-field head-related transfer functions(HRTFs) are essential to scientific researches of binaural hearing and practical applications of virtual auditory display. High efficiency, accuracy and repeatability are required in a near-field HRTF measurement. Hence,there is no reference which intents on solving the measuring difficulties of near-field HRTF for human subjects. In present work, an efficient near-field HRTF measurement system based on computer control is designed and implemented, and a fast calibration method for the system is proposed to first solve the measurement of near-field HRTF for human subjects. The efficiency of measurement is enhanced by a comprehensive design on the acoustic, electronic and mechanical parts of the system. And the accuracy and repeatability of the measurement are greatly improved by carefully calibrating the positions of sound source, subject and binaural microphones.This system is suitable for near-field HRTF measurement at various source distances within 1.0 m, for both human subject and artificial head. The time costs of HRTF measurement at a single sound source distance and full directions has been reduced to less than 20 minutes. The measurement results indicate that the accuracy of the system satisfies the actual requirements.The system is applicable to scientific research and can be used to establish an individualized near-field HRTF database for human subjects.     

Influence of spectral locus and F0 changes on the pitch and timbre of complex tones.

Harmonic complex tones comprising components in different spectral regions may differ considerably in timbre. While the pitch of "residue" tones of this type has been studied extensively, their timbral properties have received little attention. Discrimination of F0 for such tones is typically poorer than for complex tones with "corresponding" harmonics [A. Faulkner, J. Acoust. Soc. Am. 78, 1993-2004 (1985)]. The F0 DLs may be higher because timbre differences impair pitch discrimination. The present experiment explores effects of changes in spectral locus and F0 of harmonic complex tones on both pitch and timbre. Six normally hearing listeners indicated if the second tone of a two-tone sequence was: (1) same, (2) higher in pitch, (3) lower in pitch, (4) same in pitch but different in "something else," (5) higher in pitch and different in "something else," or (6) lower in pitch and different in "something else" than the first. ("Something else" is assumed to represent timbre.) The tones varied in spectral loci of four equal-amplitude harmonics m, m + 1, m + 2, and m + 3 (m = 1,2,3,4,5,6) and ranged in F0 from 200 to 200 +/- 2n Hz (n = 0,1,2,4,8,16,32). Results show that changes in F0 primarily affect pitch, and changes in spectral locus primarily affect timbre. However, a change in spectral locus can also influence pitch. The direction of locus change was reported as the direction of pitch change, despite no change in F0 or changes in F0 in the opposite direction for delta F0 < or = 0-2%. This implies that listeners may be attending to the "spectral pitch" of components, or to changes in a timbral attribute like "sharpness," which are construed as changes in overall pitch in the absence of strong F0 cues. For delta F0 > or = 2%, the direction of reported pitch change accord with the direction of F0 change, but the locus change continued to be reported as a timbre change. Rather than spectral-pitch matching of corresponding components, a context-dependent spectral evaluation process is thus implied in discernment of changes in pitch and timbre. Relative magnitudes of change in derived features of the spectrum such as harmonic number and F0, and absolute features such as spectral frequencies are compared. What is called "spectral pitch," contributes to the overall pitch, but also appears to be an important dimension of the multidimensional percept, timbre.     

Finite difference computation of head-related transfer function for human hearing

Modeling the head-related transfer function (HRTF) is a key to many applications in spatial audio. To understand and predict the effects of head geometry and the surrounding environment on the HRTF, a three-dimensional finite-difference time domain model (3D FDTD) has been developed to simulate acoustic wave interaction with a human head. A perfectly matched layer (PML) is used to absorb outgoing waves at the truncated boundary of an unbounded medium. An external source is utilized to reduce the computational domain size through the scattered-field/total-field formulation. This numerical model has been validated by analytical solutions for a spherical head model. The 3D FDTD code is then used as a computational tool to predict the HRTF for various scenarios. In particular, a simplified spherical head model is compared to a realistic head model up to about 7 kHz. The HRTF is also computed for a realistic head model in the presence of a wall. It is demonstrated that this 3D FDTD model can be a useful tool for spatial audio applications.     

HRTF personalization based on artificial neural network in individual virtual auditory space

The synthesis of individual virtual auditory space (VAS) is an important and challenging task in virtual reality. One of the key factors for individual VAS is to obtain a set of individual head related transfer functions (HRTFs). A customization method based on back-propagation (BP) artificial neural network (ANN) is proposed to obtain an individual HRTF without complex measurement. The inputs of the neural network are the anthropometric parameters chosen by correlation analysis and the outputs are the characteristic parameters of HRTFs together with the interaural time difference (ITD). Objective simulation experiments and subjective sound localization experiments are implemented to evaluate the performance of the proposed method. Experiments show that the estimated non-individual HRTF has small mean square error, and has similar perception effect to the corresponding one obtained from the database. Furthermore, the localization accuracy of personalized HRTF is increased compared to the non-individual HRTF.     

Fast head-related transfer function measurement via reciprocity

An efficient method for head-related transfer function (HRTF) measurement is presented. By applying the acoustical principle of reciprocity, one can swap the speaker and the microphone positions in the traditional (direct) HRTF measurement setup, that is, insert a microspeaker into the subject's ear and position several microphones around the subject, enabling simultaneous HRTF acquisition at all microphone positions. The setup used for reciprocal HRTF measurement is described, and the obtained HRTFs are compared with the analytical solution for a sound-hard sphere and with KEMAR manikin HRTF obtained by the direct method. The reciprocally measured sphere HRTF agrees well with the analytical solution. The reciprocally measured and the directly measured KEMAR HRTFs are not exactly identical but agree well in spectrum shape and feature positions. To evaluate if the observed differences are significant, an auditory localization model based on work by J. C. Middlebrooks [J. Acoust. Soc. Am. 92, 2607-2624 (1992)] was used to predict where a virtual sound source synthesized with the reciprocally measured HRTF would be localized if the directly measured HRTF were used for the localization. It was found that the predicted localization direction generally lies close to the measurement direction, indicating that the HRTFs obtained via the two methods are in good agreement.