arXiv:2510.02382cs.SDeess.AS2025-10

提出免矩阵求逆的快速多通道语音分离方法

Accelerated Convolutive Transfer Function-Based Multichannel NMF Using Iterative Source Steering

  • 用迭代源导向法替代传统矩阵求逆更新分离滤波器
  • 性能与原方法相当,计算量大幅降低
  • 适合实时语音分离系统部署

在众多盲源分离方法中,基于卷积传输函数的多通道非负矩阵分解(CTF-MNMF)通过建模延迟源信号的多帧相关性,在强混响环境下表现出色。然而,其实际应用受限于迭代投影(IP)更新规则带来的高计算开销,该规则需对每路源信号进行矩阵求逆。为此,本文提出一种高效变体,引入无需矩阵求逆的迭代源导向(ISS)更新规则,用于分离滤波器更新。实验表明,所提方法在保持或优于原方法分离性能的同时,显著降低了计算复杂度。

原文摘要 · Abstract (English)

Among numerous blind source separation (BSS) methods, convolutive transfer function-based multichannel non-negative matrix factorization (CTF-MNMF) has demonstrated strong performance in highly reverberant environments by modeling multi-frame correlations of delayed source signals. However, its practical deployment is hindered by the high computational cost associated with the iterative projection (IP) update rule, which requires matrix inversion for each source. To address this issue, we propose an efficient variant of CTF-MNMF that integrates iterative source steering (ISS), a matrix inversion-free update rule for separation filters. Experimental results show that the proposed method achieves comparable or superior separation performance to the original CTF-MNMF, while significantly reducing the computational complexity.

语音分离非负矩阵分解加速算法

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