arXiv:2502.18182cs.SDeess.AS2025-02

用最优传输优化声源功率分配,提升盲源分离效果

Determined Blind Source Separation with Sinkhorn Divergence-based Optimal Allocation of the Source Power

  • 引入Sinkhorn散度构建最优传输框架,自适应校准源信号方差
  • 在多频带间建模信号依赖性,动态重分配源功率
  • 适用于语音分离等需要高精度信号还原的场景

盲源分离(BSS)旨在从传感器阵列的观测中恢复多个原始信号。传统方法如独立向量分析(IVA)和独立低秩矩阵分析(ILRMA)通常依赖二阶模型来捕捉源信号的统计独立性,但未考虑频带间的隐含结构信息,可能导致模型与实际分离信号分布不匹配。本文提出将Sinkhorn散度融入这些方法,通过最优传输(OT)框架自适应修正源方差估计,从而在建模频带间信号依赖性的同时,实现源功率在频带间的最优再分配。基于此,开发了改进的算法,将Sinkhorn迭代机制嵌入原有实现中。大量仿真结果表明,新方法显著提升了盲源分离性能。

原文摘要 · Abstract (English)

Blind source separation (BSS) refers to the process of recovering multiple source signals from observations recorded by an array of sensors. Common approaches to BSS, including independent vector analysis (IVA), and independent low-rank matrix analysis (ILRMA), typically rely on second-order models to capture the statistical independence of source signals for separation. However, these methods generally do not account for the implicit structural information across frequency bands, which may lead to model mismatches between the assumed source distributions and the distributions of the separated source signals estimated from the observed mixtures. To tackle these limitations, this paper shows that conventional approaches such as IVA and ILRMA can easily be leveraged by the Sinkhorn divergence, incorporating an optimal transport (OT) framework to adaptively correct source variance estimates. This allows for the recovery of the source distribution while modeling the inter-band signal dependence and reallocating source power across bands. As a result, enhanced versions of these algorithms are developed, integrating a Sinkhorn iterative scheme into their standard implementations. Extensive simulations demonstrate that the proposed methods consistently enhance BSS performance.

盲源分离最优传输语音增强

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