Kulkarni A, Isabelle S K, Colburn H S
Hearing Research Center, Boston University, Massachusetts 02215, USA.
J Acoust Soc Am. 1999 May;105(5):2821-40. doi: 10.1121/1.426898.
Head-related transfer functions (HRTFs) for human subjects in anechoic space were modeled with modified phase spectra, including minimum-phase-plus-delay, linear-phase, and reversed-phase-plus-delay functions. The overall (wide-band) interaural time delay (ITD) for the modeled HRTFs was made consistent with that of the empirical HRTFs by setting the position-dependent, frequency-independent delay in the HRTF for the lagging ear. Signal analysis of the minimum-phase-plus-delay reconstructions indicated that model HRTFs deviate from empirical HRTF measurements maximally for contralateral azimuths and low elevations. Subjects assessed the perceptual validity of the model HRTFs in a four-interval, two-alternative, forced-choice discrimination paradigm. Results indicate that monaural discrimination performance of subjects was at chance for all three types of HRTF models. Binaural discrimination performance was at chance for the linear-phase HRTFs, was above chance for some locations for the minimum-phase-plus-delay HRTFs, and was above chance for all tested locations for the reversed-phase-plus-delay HRTFs. An analysis of low-frequency timing information showed that all of these results are consistent with efficient use of interaural time differences in the low-frequency components of the stimulus waveforms. It is concluded that listeners are insensitive to HRTF phase spectra as long as the overall ITD of the low-frequency components does not provide a reliable cue. In particular, the minimum-phase-plus-delay approximation to the HRTF phase spectrum is an adequate approximation as long as the low-frequency ITD is appropriate. These results and conclusions are all limited to the anechoic case when the HRTFs correspond to brief impulse responses limited to a few milliseconds.
在消声空间中,使用修正后的相位谱对人类受试者的头部相关传递函数(HRTF)进行建模,包括最小相位加延迟、线性相位和反相加延迟函数。通过设置滞后耳的HRTF中与位置相关、与频率无关的延迟,使建模的HRTF的整体(宽带)耳间时间延迟(ITD)与经验HRTF的延迟一致。对最小相位加延迟重建的信号分析表明,模型HRTF在对侧方位角和低仰角处与经验HRTF测量值的偏差最大。受试者在四区间、二择一、强制选择辨别范式中评估了模型HRTF的感知有效性。结果表明,对于所有三种类型的HRTF模型,受试者的单耳辨别性能均处于随机水平。对于线性相位HRTF,双耳辨别性能处于随机水平;对于最小相位加延迟HRTF,在某些位置上高于随机水平;对于反相加延迟HRTF,在所有测试位置上均高于随机水平。对低频定时信息的分析表明,所有这些结果都与有效利用刺激波形低频成分中的耳间时间差异一致。得出的结论是,只要低频成分的整体ITD不提供可靠线索,听众对HRTF相位谱就不敏感。特别是,只要低频ITD合适,HRTF相位谱的最小相位加延迟近似就是一种适当的近似。这些结果和结论都仅限于消声情况,即HRTF对应于限于几毫秒的简短脉冲响应时。