Complex NMF under spectrogram consistency constraints
Complex NMF under spectrogram consistency constraints
复制标题
谱图一致性约束下的复杂 NMF
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
S. Sagayama
中科院分区：
文献类型：
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作者：
Jonathan Le Roux;H. Kameoka;E. Vincent;Nobutaka Ono;K. Kashino;S. Sagayama
许多音频信号处理算法依赖于幅度或复杂短时傅立叶变换（STFT）频谱图的估计，但通常不考虑估计的频谱图一致的必要性，即，以对应于实值时域信号的STFT。在[1]中引入了一致性约束，并将其应用于从幅度谱图重建相位。在本文中，我们展示了如何使用它们将STFT谱图一致性的惩罚函数引入到最近引入的复杂非负矩阵分解（NMF）框架中[2]，该框架估计观测到的震级谱中的重复模式，它们的激活和它们的相位。我们通过辅助函数的方法推导出解析更新方程，并提出了监督单声道源分离任务的初步结果。
Many audio signal processing algorithms rely on the estimation of magnitude or complex short-time Fourier transform (STFT) spectrograms, but usually do not take into account the necessity for the estimated spectrograms to be consistent, i.e., to correspond to the STFT of a real-valued time-domain signal. Consistency constraints were introduced in [1] and applied there to phase reconstruction from magnitude spectrograms. In this paper, we show how to use them to introduce penalty functions on the consistency of STFT spectrograms into the recently introduced complex non-negative matrix factorization (NMF) framework [2], which estimates recurring patterns in the observed magnitude spectra, their activations and their phases. We derive analytical update equations through an auxiliary function approach, and present preliminary results on a supervised monaural source separation task.