# MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON STEEPEST DESCENT METHOD

### Shen Xizhong, Hu Dachao, Meng Guang

#### Abstract

This paper presents a new MIMO instantaneous blind identification algorithm based on second order temporal property and steepest descent method. Second 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 steepest descent method. We construct a general goal of the system and convert the nonlinear problem into an optimal problem. Our algorithm allows estimating the mixing matrix for scenarios with 4 sources and 3 sensors, etc. Finally, simulations show its effectiveness with more accurate solutions than the algorithm with homotopy method.

#### References

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#### Paper Citation

#### in Harvard Style

Xizhong S., Dachao H. and Guang M. (2009). **MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON STEEPEST DESCENT METHOD** . In *Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2009)* ISBN 978-989-674-007-8, pages 118-121. DOI: 10.5220/0002185701180121

#### in Bibtex Style

@conference{sigmap09,

author={Shen Xizhong and Hu Dachao and Meng Guang},

title={MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON STEEPEST DESCENT METHOD},

booktitle={Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2009)},

year={2009},

pages={118-121},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002185701180121},

isbn={978-989-674-007-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2009)

TI - MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON STEEPEST DESCENT METHOD

SN - 978-989-674-007-8

AU - Xizhong S.

AU - Dachao H.

AU - Guang M.

PY - 2009

SP - 118

EP - 121

DO - 10.5220/0002185701180121