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Ray-Space-Based Multichannel Nonnegative Matrix Factorization for Audio Source Separation

Mirco Pezzoli, Julio J. Carabias-Orti, Máximo Cobos, Fabio Antonacci, Augusto Sarti

2021IEEE Signal Processing Letters32 citationsDOIOpen Access PDF

Abstract

Nonnegative matrix factorization (NMF) has been traditionally considered a promising approach for audio source separation. While standard NMF is only suited for single-channel mixtures, extensions to consider multi-channel data have been also proposed. Among the most popular alternatives, multichannel NMF (MNMF) and further derivations based on constrained spatial covariance models have been successfully employed to separate multi-microphone convolutive mixtures. This letter proposes a MNMF extension by considering a mixture model with Ray-Space-transformed signals, where magnitude data successfully encodes source locations as frequency-independent linear patterns. We show that the MNMF algorithm can be seamlessly adapted to consider Ray-Space-transformed data, providing competitive results with recent state-of-the-art MNMF algorithms in a number of configurations using real recordings.

Topics & Concepts

Non-negative matrix factorizationSource separationMatrix decompositionComputer scienceMicrophoneExtension (predicate logic)Channel (broadcasting)AlgorithmBlind signal separationCovariance matrixMatrix (chemical analysis)Speech recognitionEigenvalues and eigenvectorsMaterials scienceSound pressurePhysicsQuantum mechanicsComposite materialProgramming languageTelecommunicationsComputer networkSpeech and Audio ProcessingMusic and Audio ProcessingBlind Source Separation Techniques