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Phase-Optimized K-SVD for Signal Extraction from Underdetermined Multichannel Sparse Mixtures

2014/10/09 by Antoine Deleforge, Deleforge, Antoine, Walter Kellermann +1
Computer Science · Engineering · Neuroscience · #Advanced Adaptive Filtering Techniques #FOS: Computer and information sciences #Hearing Loss and Rehabilitation #Sound (cs.SD) #Speech and Audio Processing #cs.SD

paper · pdf · doi:10.48550/arxiv.1410.2430

arxiv created 2014/10/09 · openalex publication_date 2014/10/09 · arxiv updated 2014/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a novel sparse representation for heavily underdetermined multichannel sound mixtures, i.e., with much more sources than microphones. The proposed approach operates in the complex Fourier domain, thus preserving spatial characteristics carried by phase differences. We derive a generalization of K-SVD which jointly estimates a dictionary capturing both spectral and spatial features, a sparse activation matrix, and all instantaneous source phases from a set of signal examples. The dictionary can then be used to extract the learned signal from a new input mixture. The method is applied to the challenging problem of ego-noise reduction for robot audition. We demonstrate its superiority relative to conventional dictionary-based techniques using recordings made in a real room.

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