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Authors: Xizhong Shen 1 ; Dachao Hu 1 and Guang Meng 2

Affiliations: 1 Shanghai Institute of Technology, China ; 2 Shanghai Jiao Tong University, China

ISBN: 978-989-674-018-4

Keyword(s): Instantaneous blind identification, Third-order cumulant, Steepest descent method, Nonlinear, Undetermined problem.

Related Ontology Subjects/Areas/Topics: Acoustic Signal Processing ; Artificial Intelligence ; Biomedical Engineering ; Biomedical Signal Processing ; Computational Intelligence ; Soft Computing

Abstract: This paper presents a new MIMO instantaneous blind identification algorithm based on third-order temporal property. Third-order temporal structure is reformulated in a particular way such that each column of the unknown mixing matrix satisfies a system of nonlinear multivariate homogeneous polynomial equations. The nonlinear system is solved by improved steepest descent method. We construct a general goal of the nonlinear system and convert the nonlinear problem into an optimal problem. The optimal solutions are obtained one by one by adding a penalty item to the general goal, which is Gaussian function characterized with valley-filled feature. Our algorithm allows estimating the mixing matrix for scenarios with 3 sources and 2 sensors, etc. Finally, simulations and comparisons show its effectiveness.

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Paper citation in several formats:
Shen X.; Hu D.; Meng G. and (2010). MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON THIRD-ORDER CUMULANT.In Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010) ISBN 978-989-674-018-4, pages 127-132. DOI: 10.5220/0002581401270132

@conference{biosignals10,
author={Xizhong Shen and Dachao Hu and Guang Meng},
title={MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON THIRD-ORDER CUMULANT},
booktitle={Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010)},
year={2010},
pages={127-132},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002581401270132},
isbn={978-989-674-018-4},
}

TY - CONF

JO - Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010)
TI - MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON THIRD-ORDER CUMULANT
SN - 978-989-674-018-4
AU - Shen, X.
AU - Hu, D.
AU - Meng, G.
PY - 2010
SP - 127
EP - 132
DO - 10.5220/0002581401270132

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