On the minimum ℓ1-norm signal recovery in underdetermined source separation

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Abstract

This paper studied the minimum ℓ1-norm signal recovery in underdetermined source separation, which is a problem of separating n sources blindly from m linear mixtures for n > m. Based on our previous result of submatrix representation and decision regions, we describe the property of the minimum ℓ1-norm sequence from the viewpoint of source separation, and discuss how to construct it geometrically from the observed sequence and the mixing matrix, and the unstability for a perturbation of mixing matrix. © Springer-Verlag 2004.

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Takigawa, I., Kudo, M., Nakamura, A., & Toyama, J. (2004). On the minimum ℓ1-norm signal recovery in underdetermined source separation. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3195, 193–200. https://doi.org/10.1007/978-3-540-30110-3_25

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