发表机构
STMS, Ircam–Sorbonne Université–CNRS–Ministère de la Culture; Acoustics Research Institute, Austrian Academy of Sciences（STMS，Ircam-索邦大学-CNRS-文化部; 奥地利科学院声学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种基于Herglotz波函数的方法，用于检测和特征化球面麦克风阵列测量的空间房间冲激响应中的早期反射，通过球谐域定位和自适应径向高斯拟合估计到达方向及反射数量，实验表明其定位精度和多重反射检测可靠性优于传统SRP和MUSIC方法。
AI 中文摘要
使用球面麦克风阵列（SMAs）测量的空间房间冲激响应（SRIRs）中的早期反射在空间音频分析、渲染和混响建模中扮演着重要角色。对它们的准确定位和特征化可以促进对测量混响场的分析、处理和操作。本文提出了一种基于Herglotz波函数形式的方法来检测和特征化早期反射。测量的声场被表示为入射平面波的连续叠加，由此在球谐域中推导出定位函数。然后使用自适应径向高斯拟合过程来估计到达方向（DoAs）以及单个分析帧内入射反射的数量。所提出的框架使用模拟和测量的SRIRs进行评估，并与传统的可控响应功率（SRP）和多重信号分类（MUSIC）定位方法进行比较。结果表明，所提出的方法在定位精度上有所提高，并且能更可靠地检测多个同时存在的反射，突显了所提出的基于Herglotz的公式在分析SMA测量的SRIRs中早期反射的潜力。
英文摘要
Early reflections in spatial room impulse responses (SRIRs) measured using spherical microphone arrays (SMAs) play an important role in spatial audio analysis, rendering, and reverberation modeling. Their accurate localization and characterization can facilitate the analysis, processing, and manipulation of measured reverberation fields. This paper proposes a method for detecting and characterizing early reflections based on the Herglotz wavefunction formalism. The measured sound field is represented as a continuous superposition of incident plane waves, from which a localization function is derived in the spherical harmonic domain. An adaptive radial Gaussian fitting procedure is then used to estimate both the directions of arrival (DoAs) and the number of incident reflections within a single analysis frame. The proposed framework is evaluated using simulated and measured SRIRs and compared with conventional steered response power (SRP) and multiple signal classification (MUSIC) localization methods. The results demonstrate improved localization accuracy and more reliable detection of multiple simultaneous reflections, highlighting the potential of the proposed Herglotz-based formulation for the analysis of early reflections in SMA-measured SRIRs.
Comments15 pages, 10 figures, 4 tables
