Nowadays, wave-based simulations of head-related transfer functions (HRTFs) lack strong justifications to replace HRTF measurements. The main cause is the complex interactions between uncertainties and biases in both simulated and measured HRTFs. This paper deals with the validation of pinna-related high-frequency information in the ipsilateral directions-of-arrival, computed by lossless wave-based simulations with finite-difference models. A simpler yet related problem is given by the pinna-related transfer function (PRTF), which encodes the acoustical effects of only the external ear. Results stress that PRTF measurements are generally highly repeatable but not necessarily easily reproducible, leading to critical issues in terms of reliability for any ground truth condition. On the other hand, PRTF simulations exhibit an increasing uncertainty with frequency and grid-dependent frequency changes, which are here quantified analyzing the benefits in the use of a unique asymptotic solution. In this validation study, the employed finite-difference model accurately and reliably predict the PRTF magnitude mostly within ±1 dB up to $\approx$8 kHz and a space- and frequency-averaged spectral distortion within about 2 dB up to $\approx$ 18 kHz.

中文翻译：

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与Pinna相关的传递函数和使用有限差分方法的无损波动方程：通过测量进行验证。

如今，与头部相关的传递函数（HRTF）的基于波的仿真缺乏强有力的论据来代替HRTF测量。主要原因是模拟和测量的HRTF中不确定性和偏差之间的复杂相互作用。本文涉及在同侧到达方向上与耳廓相关的高频信息的验证，该验证是通过基于有限差分模型的无损波模拟来计算的。耳廓相关传递函数（PRTF）给出了一个更简单但相关的问题，该函数仅编码外耳的声学效果。结果强调，PRTF测量结果通常具有很高的可重复性，但不一定易于重现，从而导致在任何地面真实情况的可靠性方面都存在关键问题。另一方面，PRTF模拟随着频率和与电网相关的频率变化表现出越来越大的不确定性，在此对它们进行量化分析，以分析使用独特渐近解的好处。在此验证研究中，所采用的有限差分模型可准确可靠地预测PRTF幅度，最大误差在±1 dB之内，直至$\approx$8 kHz，空间和频率平均频谱失真在2 dB以内，直至 $\approx$ 18 kHz。