Sensor Placement to Improve the Positioning Performance Based on Angle of Arrival (AOA)

Behzad Omidali, S. S.Ali-Asghar Beheshti Shirazi

.

DOI: 10.4236/wet.2010.11007                

Abstract

In this paper, a method for sensor placement to improve the placement quality based on angle of arrival of signal in a specific area is proposed. The installation place of sensors may be constrained with specified boundaries. In this me-thod, the criterion of maximum quality of placement is the Cramer-Rao bound. The generalized pattern search as an effective method is used to maximize error bound of the placement problem by angle of arrival. Better results are ob-tained in comparison with results of genetic algorithm. The derived results are compared from two aspects of run time and result quality.

Keywords

Sensor Placement, Positioning, Cramer-Rao Bound, Numerical Optimization

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	B. Yang and J. Scheuing, “Cramer-Rao Bound and Opti-mum Sensor Array for Source Localization from Time Differences of Arrival,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Philadelphia, Vol. 4, 2005, pp. 961-964.
[2]	B. Yang and J. Scheuing, “A Theoretical Analysis of 2D Sensor Arrays for TDOA Based Localization,” IEEE In-ternational Conference on Acoustics, Speech, and Signal Processing (ICASSP), Toulouse, Vol. 4, 2006, pp. 961- 964.
[3]	S. M. Kay, “Fundamentals of Statistical Signal Processing: Estimation Theory,” Prentice-Hall, Upper Saddle River, 1993.
[4]	D. J. Torrieri, “Statistical Theory of Passive Location Systems,” IEEE Transactions on Aerospace and Elec-tronic Systems, Vol. 20, No. 2, 1984, pp. 183-198.
[5]	C. Mensing and S. Plass, “Positioning Based on Factor Graph,” EURASIP Journal on Advances in Signal Processing, Vol. 2007, April 2007, pp 1-11.
[6]	C. Mensing, and S. Plass, “Positioning Algorithms for Cellular Networks Using TDOA,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Toulouse, Vol. 4, 2006, pp. 513-516.
[7]	R. L. Haupt and S. E. Haupt, “Practical Genetic Algo-rithms,” 2nd Edition, John Wiley & Sons, Hoboken, 2004.
[8]	S. Olariu, and A. Y. Zomaya, “Handbook of Bioinspired Algorithms and Applications,” Taylor & Francis Group, CRC Press, Boca Raton, 2006.