欠定音频声源分离的近似消息传递
Approximate Message Passing for Underdetermined Audio Source Separation
摘要:
近似消息传递(AMP)算法在稀疏信号重建中表现出了很大的希望,由于其低的计算要求和快速收敛到精确解。此外,它们提供了一个概率框架,通常比凸优化等替代方案更直观。本文将AMP用于欠定瞬时混合信号的音频声源分离。在时频域中,通常假设源是稀疏的,因此我们使用AMP解决相应的稀疏线性逆问题。我们提出了一种基于块的方法,使用AMP同时处理多个时频点。特别评估了两种称为AMP和矢量AMP(VAMP)的算法。结果表明,他们是有前途的伪影抑制方面。
英文摘要:
Approximate message passing (AMP) algorithms have shown great promise in sparse signal reconstruction due to their low computational requirements and fast convergence to an exact solution. Moreover, they provide a probabilistic framework that is often more intuitive than alternatives such as convex optimisation. In this paper, AMP is used for audio source separation from underdetermined instantaneous mixtures. In the time-frequency domain, it is typical to assume a priori that the sources are sparse, so we solve the corresponding sparse linear inverse problem using AMP. We present a block-based approach that uses AMP to process multiple time-frequency points simultaneously. Two algorithms known as AMP and vector AMP (VAMP) are evaluated in particular. Results show that they are promising in terms of artefact suppression.
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