An analytical solution on for the second order blind identification of two input two output system: Adaptive implementation

An analytical solution on for the second order blind identification of two input two output system: Adaptive implementation

Abdelfettah Meziane Bentahar Meziane Abdeldjalil Aissa-El-Bey Thierry Chonavel Adel Belouchrani 

LDCCP Lab, École nationale polytechnique, Alger, Algérie

IMT Atlantique, UMR CNRS 6285 Lab-STICC, Université Bretagne Loire, F-29238 Brest, France

Corresponding Author Email: 
abdelfettah.meziane@enp.edu.dz
Page: 
358-401
|
DOI: 
https://doi.org/10.3166/ts.2017.00004
Received: 
22 July 2014
| |
Accepted: 
22 May 2015
| | Citation
Abstract: 

This paper proposes a specific adaptive algorithm for the blind identification of a two input two output system. Starting from a closed form solution of the blind identification of the system exploiting the temporal coherence properties of the input sources, we present a simplified adaptive implementation of the ASOBI algorithm (Analytical Second Order Blind Identification) to compute a zero forcing second order blind separator with low complexity. Two adaptive versions are provided. Numerical experiments are presented to assess the performance of the proposed algorithms.

Keywords: 

blind source separation, adaptive algorithm, covariance matrix, second order statistics, analytical solution.

1. Introduction
2. Formulation du problème
3. Identification aveugle au second ordre : une solution analytique
4. Séparation aveugle adaptative au second ordre
5. Résultats de simulation
6. Conclusion
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