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An analytical derivation for second-order blind separation of two signals

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Abstract

In this paper, we propose analytical formulas that involve second-order statistics for separating two signals. The method utilizes source decorrelation and correlation function diversity. In particular, the proposed SOBAS (second-order blind analytical separation) algorithm differs from the ASOBI (analytical second-order blind identification) algorithm in that it does not require prior knowledge or estimation of the noise variance. Computer simulations demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Ecole Nationale Polytechnique, Avenue Hacen Badi El harrach, 16200, Algiers, Algeria

    Abdelfettah Meziane Bentahar Meziane & Adel Belouchrani

  2. IMT Atlantique, UMR CNRS 6285 Lab-STICC, UBL, 29238, Brest Cedex, France

    Thierry Chonavel & Abdeldjalil Aïssa-El-Bey

Authors
  1. Abdelfettah Meziane Bentahar Meziane
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  2. Thierry Chonavel
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  3. Abdeldjalil Aïssa-El-Bey
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  4. Adel Belouchrani
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Corresponding author

Correspondence to Abdeldjalil Aïssa-El-Bey.

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Meziane, A.M.B., Chonavel, T., Aïssa-El-Bey, A. et al. An analytical derivation for second-order blind separation of two signals. Ann. Telecommun. 73, 711–717 (2018). https://doi.org/10.1007/s12243-018-0635-6

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  • DOI: https://doi.org/10.1007/s12243-018-0635-6

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