Nonnegative Matrix Factorization With Basis Clustering Using Cepstral Distance Regularization

doi:10.1109/TASLP.2018.2795746

Nonnegative Matrix Factorization With Basis Clustering Using Cepstral Distance Regularization

2018-06-01

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DOI：10.1109/TASLP.2018.2795746

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One successful approach for audio source separation involves applying nonnegative matrix factorization (NMF) to a magnitude spectrogram regarded as a nonnegative matrix. This can be interpreted as approximating the observed spectra at each time frame as the linear sum of the basis spectra scaled by time-varying amplitudes. This paper deals with the problem of the unsupervised instrument-wise source separation of polyphonic signals based on an extension of the NMF approach. We focus on the fact that each piece of music is typically played on a handful of musical instruments, which allows us to assume that the spectra of the underlying audio events in a polyphonic signal can be grouped into a reasonably small number of clusters in the mel-frequency cepstral coefficient (MFCC) domain. Based on this assumption, we propose formulating factorization of amagnitude spectrogram and clustering of the basis spectra in the MFCC domain as a joint optimization problem and derive a novel optimization algorithm based on the majorization-minimization principle. Experimental results revealed that our method was superior to a two-stage algorithm that consists of performing factorization followed by clustering the basis spectra, thus showing the advantage of the joint optimization approach.

Keywords:

Audio source separation

nonnegative matrix factorization (NMF)

basis clustering

mel-frequency cepstral coefficient (MFCC)

majorization-minimization algorithm

Nonnegative Matrix Factorization With Basis Clustering Using Cepstral Distance Regularization

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