Blind source separation of single channel mixture using tensorization and tensor diagonalization

Anh Huy Phan, Petr Tichavský, Andrzej Cichocki

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    1 Citation (Scopus)

    Abstract

    This paper deals with estimation of structured signals such as damped sinusoids, exponentials, polynomials, and their products from single channel data. It is shown that building tensors from this kind of data results in tensors with hidden block structure which can be recovered through the tensor diagonalization. The tensor diagonalization means multiplying tensors by several matrices along its modes so that the outcome is approximately diagonal or block-diagonal of 3-rd order tensors. The proposed method can be applied to estimation of parameters of multiple damped sinusoids, and their products with polynomial.

    Original languageEnglish
    Title of host publicationLatent Variable Analysis and Signal Separation - 13th International Conference, LVA/ICA 2017, Proceedings
    EditorsPetr Tichavsky, Massoud Babaie-Zadeh, Olivier J.J. Michel, Nadege Thirion-Moreau
    PublisherSpringer Verlag
    Pages36-46
    Number of pages11
    ISBN (Print)9783319535463
    DOIs
    Publication statusPublished - 2017
    Event13th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2017 - Grenoble, France
    Duration: 21 Feb 201723 Feb 2017

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume10169 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference13th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2017
    Country/TerritoryFrance
    CityGrenoble
    Period21/02/1723/02/17

    Keywords

    • Blind source separation
    • Block tensor decomposition
    • Damped sinusoids
    • Tensor diagonalization
    • Three-way folding
    • Three-way toeplitzation

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