提出改进的插值方法,提升混响环境下声反射源定位精度。
On Time Delay Interpolation for Improved Acoustic Reflector Localization
- 基于sinc与Whittaker-Shannon公式推导,实现亚采样级时间延迟估计。
- 在MYRiAD数据集上,误差显著低于传统插值方法。
- 适合需要高精度声学定位的系统,如房间声学分析、声源定位。
声反射源定位是房间声学分析、声源定位和声场景分析等应用的基础。时间延迟估计(TDE)对确定反射源相对于麦克风阵列的位置至关重要。传统TDE算法通常只能提供整数倍采样周期的时间延迟,时间分辨率不足。为实现亚采样级精度,已提出多种插值方法,包括抛物线、高斯、频率和sinc插值。本文针对混响条件下声反射源定位,系统研究了时间延迟插值技术。我们从先前提出的sinc插值出发,推导出短时窗TDE场景下的Whittaker-Shannon插值公式。仿真结果表明,在临界采样和带限反射条件下,sinc与Whittaker-Shannon插值在时间延迟误差和位置误差方面均优于现有方法。真实世界测量基于MYRiAD数据集,结果显示这两种插值方法在不同传感器-声源对及扬声器位置下均表现稳定可靠。该成果可显著提升声反射源定位系统的精度,对相关应用具有重要意义。
原文摘要 · Abstract (English)
The localization of acoustic reflectors is a fundamental component in various applications, including room acoustics analysis, sound source localization, and acoustic scene analysis. Time Delay Estimation (TDE) is essential for determining the position of reflectors relative to a sensor array. Traditional TDE algorithms generally yield time delays that are integer multiples of the operating sampling period, potentially lacking sufficient time resolution. To achieve subsample TDE accuracy, various interpolation methods, including parabolic, Gaussian, frequency, and sinc interpolation, have been proposed. This paper presents a comprehensive study on time delay interpolation to achieve subsample accuracy for acoustic reflector localization in reverberant conditions. We derive the Whittaker-Shannon interpolation formula from the previously proposed sinc interpolation in the context of short-time windowed TDE for acoustic reflector localization. Simulations show that sinc and Whittaker-Shannon interpolation outperform existing methods in terms of time delay error and positional error for critically sampled and band-limited reflections. Performance is evaluated on real-world measurements from the MYRiAD dataset, showing that sinc and Whittaker-Shannon interpolation consistently provide reliable performance across different sensor-source pairs and loudspeaker positions. These results can enhance the precision of acoustic reflector localization systems, vital for applications such as room acoustics analysis, sound source localization, and acoustic scene analysis.
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