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arXiv 2409.09294cs.SDeess.AS
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子带分割:解决确定性盲源分离中块排列问题的简单、高效且有效技术

Subband Splitting: Simple, Efficient and Effective Technique for Solving Block Permutation Problem in Determined Blind Source Separation

Waseda University(早稻田大学);Tokyo University of Agriculture and Technology(东京农工大学)

Kazuki Matsumoto, Kohei Yatabe

AI总结:

针对确定性BSS中的块排列问题,本文提出重叠子带分割并顺序执行分离、跨子带初始化对齐的方法,显著提升性能且不增加计算成本。

摘要:

解决排列问题对于确定性盲源分离(BSS)至关重要。现有方法,如独立向量分析(IVA)和独立低秩矩阵分析(ILRMA),通过对源信号频率成分的共现进行建模来处理排列问题。这些方法中仍存在的挑战之一是块排列问题,它可能导致严重的性能下降。本文提出了一种简单而有效的技术来解决块排列问题。所提技术将整个频带分割为若干重叠子带,并依次对每个子带应用BSS方法(例如IVA、ILRMA或任何其他方法)。由于分割减小了问题规模,BSS方法能够在每个子带中有效工作。随后,通过将一个子带中的分离结果用作其他子带的初始值,来对齐子带之间的排列。此外,我们将子带分割(SS)与IVA和ILRMA相结合,提出了SS-IVA和SS-ILRMA。实验结果表明,我们的技术在不增加计算成本的情况下显著提升了分离性能。特别是,SS-ILRMA取得了与oracle方法(具有理想排列求解器的频域独立成分分析)相当的分离性能。此外,SS-ILRMA比传统IVA和ILRMA收敛更快。

英文摘要:

Solving the permutation problem is essential for determined blind source separation (BSS). Existing methods, such as independent vector analysis (IVA) and independent low-rank matrix analysis (ILRMA), tackle the permutation problem by modeling the co-occurrence of the frequency components of source signals. One of the remaining challenges in these methods is the block permutation problem, which may cause severe performance degradation. In this paper, we propose a simple and effective technique for solving the block permutation problem. The proposed technique splits the entire frequency bands into several overlapping subbands and sequentially applies BSS methods (e.g., IVA, ILRMA, or any other method) to each subband. Since the splitting reduces the size of the problem, the BSS methods can effectively work in each subband. Then, the permutations among the subbands are aligned by using the separation result in one subband as the initial values for the other subbands. Additionally, we propose SS-IVA and SS-ILRMA by combining subband splitting (SS) with IVA and ILRMA. Experimental results demonstrated that our technique remarkably improves the separation performance without increasing computational cost. In particular, our SS-ILRMA achieved the separation performance comparable to the oracle method (frequency-domain independent component analysis with the ideal permutation solver). Moreover, SS-ILRMA converged faster than conventional IVA and ILRMA.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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