Nonnegative Matrix Factorization With Basis Clustering Using Cepstral Distance Regularization

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...

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Veröffentlicht in:IEEE/ACM transactions on audio, speech, and language processing Jg. 26; H. 6; S. 1029 - 1040
Hauptverfasser: Kameoka, Hirokazu, Higuchi, Takuya, Tanaka, Mikihiro, Li Li
Format: Journal Article
Sprache:Englisch
Veröffentlicht: IEEE 01.06.2018
Schlagworte:
Audio source separation
basis clustering
Clustering algorithms
Linear programming
majorization–minimization algorithm
Mel frequency cepstral coefficient
mel-frequency cepstral coefficient (MFCC)
nonnegative matrix factorization (NMF)
Optimization
Source separation
Spectrogram
ISSN:2329-9290, 2329-9304
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Zusammenfassung: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 a magnitude 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.
ISSN:2329-9290
2329-9304
DOI:10.1109/TASLP.2018.2795746