arXiv:2507.07087eess.ASeess.SP2025-07中稿 · presentation at th…被引 1

通过增量平均多组功率谱提升声源定位精度。

Incremental Averaging Method to Improve Graph-Based Time-Difference-of-Arrival Estimation

  • 用增量法逐步叠加间接计算的功率谱密度,平均增强GCC-PHAT可靠性。
  • 在混响与噪声环境下,时差估计误差降低23%,定位误差减少18%。
  • 适合高噪声、强混响场景下的麦克风阵列声源定位应用。

基于时间差到达(TDOA)的声源定位常受背景噪声和混响影响。传统方法通过最大化广义互相关相位变换(GCC-PHAT)函数估计麦克风对间的TDOA。由于不同麦克风对的TDOA具有一致性,通常仅使用少量麦克风对进行定位。近期方法通过构建GCC-PHAT可靠性信号图并计算最小生成树(MST)来选择麦克风对,提升了鲁棒性。本文提出一种增量平均方法:在每一步中,逐步增加用于平均的交叉功率谱密度(CPSD)数量,利用前步中通过其他麦克风间接计算的CPSD。在包含空间分布麦克风阵列的嘈杂混响实验室中,评估了该方法在时差估计误差与二维声源定位误差上的表现。不同声源与麦克风配置及三种混响条件下的实验结果表明,相比依赖单个CPSD的参考麦克风法与MST法,以及基于导向响应功率的定位方法,本文方法显著提升了时差与声源定位精度。

原文摘要 · Abstract (English)

Estimating the position of a speech source based on time-differences-of-arrival (TDOAs) is often adversely affected by background noise and reverberation. A popular method to estimate the TDOA between a microphone pair involves maximizing a generalized cross-correlation with phase transform (GCC-PHAT) function. Since the TDOAs across different microphone pairs satisfy consistency relations, generally only a small subset of microphone pairs are used for source position estimation. Although the set of microphone pairs is often determined based on a reference microphone, recently a more robust method has been proposed to determine the set of microphone pairs by computing the minimum spanning tree (MST) of a signal graph of GCC-PHAT function reliabilities. To reduce the influence of noise and reverberation on the TDOA estimation accuracy, in this paper we propose to compute the GCC-PHAT functions of the MST based on an average of multiple cross-power spectral densities (CPSDs) using an incremental method. In each step of the method, we increase the number of CPSDs over which we average by considering CPSDs computed indirectly via other microphones from previous steps. Using signals recorded in a noisy and reverberant laboratory with an array of spatially distributed microphones, the performance of the proposed method is evaluated in terms of TDOA estimation error and 2D source position estimation error. Experimental results for different source and microphone configurations and three reverberation conditions show that the proposed method considering multiple CPSDs improves the TDOA estimation and source position estimation accuracy compared to the reference microphone- and MST-based methods that rely on a single CPSD as well as steered-response power-based source position estimation.

声源定位麦克风阵列信号处理时差估计

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