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  Identifiability for blind source separation of multiple finite alphabet linear mixtures.

Behr, M., & Munk, A. (2017). Identifiability for blind source separation of multiple finite alphabet linear mixtures. IEEE Transactions on Information Theory, 63(9), 5506-5517. doi:10.1109/TIT.2017.2717586.

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 Urheber:
Behr, M., Autor
Munk, A.1, Autor           
Affiliations:
1Research Group of Statistical Inverse-Problems in Biophysics, MPI for biophysical chemistry, Max Planck Society, ou_1113580              

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Schlagwörter: Blind source separation, BSS, finite alphabet signals, single mixture, instantaneous mixtures, Markov processes, stopping time
 Zusammenfassung: We give under weak assumptions a complete combinatorial characterization of identifiability for linear mixtures of finite alphabet sources, with unknown mixing weights and unknown source signals, but known alphabet. This is based on a detailed treatment of the case of a single linear mixture. Notably, our identifiability analysis applies also to the case of unknown number of sources. We provide sufficient and necessary conditions for identifiability and give a simple sufficient criterion together with an explicit construction to determine the weights and the source signals for deterministic data by taking advantage of the hierarchical structure within the possible mixture values. We show that the probability of identifiability is related to the distribution of a hitting time and converges exponentially fast to one when the underlying sources come from a discrete Markov process. Finally, we explore our theoretical results in a simulation study. This paper extends and clarifies the scope of scenarios for which blind source separation becomes meaningful.

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Sprache(n): eng - English
 Datum: 2017-06-202017-09-09
 Publikationsstatus: Erschienen
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 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1109/TIT.2017.2717586
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Titel: IEEE Transactions on Information Theory
Genre der Quelle: Zeitschrift
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Seiten: - Band / Heft: 63 (9) Artikelnummer: - Start- / Endseite: 5506 - 5517 Identifikator: -