Reduction of Cramer-Rao Bound in Arbitrary Pre-designed Arrays Using Altering an Element Position

Journal of Computer & Robotics

شناسنامه علمی شماره، دوره 3، شماره 2، مهر 2010، صفحه 117-124   

نویسندگان

Hamidreza Bakhshi^* ؛ Mohsen Abedini

Department of Electrical engineering, Shahed University, Tehran, Iran

چکیده

Simultaneous estimation of the range and the angle of close emitters usually requires a multidimensional search. This paper proposes an
algorithm to improve the position of an element for arrays designed on the basis of some certain or random rules. In the proposed method,
one element moves along the same previous direction, maintaining its vertical distance from each source, to reach a constellation with less
Cramer-Rao Bound (CRB). The efficiency of this method has been demonstrated through simulation and a comparative study has been
conducted, contrasting both the CRB and the determinant of the received signal’s covariance matrix before and after applying our proposed
scheme.

کلیدواژه‌ها

Cramer-Rao Bound؛ Direction of Arrival؛ Range؛ Near-field

مراجع

[1] J. Liang, S. Yang, J. Zhang, and F. Zhao, 4D near-field source
localization using cumulant, EURASIP Journal on Applied Signal
Processing, pp.126-127, 2007.
[2] A. J. Weiss and B. Friedlander, Range and bearing estimation using
polynomial rooting, IEEE Trans. on Oceanic Engineering, vol. 18,
no.2, pp. 130-137, 1993.
[3] N. D. Sidiropoulos, R. Bro and G. B. Giannakis, Parallel factor
analysis in sensor array processing, IEEE Trans. on Signal
Processing, vol. 48, no. 8, pp.2377-2388, 2000.
[4]
L. Huang, S. Wu, D. Feng, and L. Zhang, Computationally efficient
direction-of-arrival estimation based on partial a priori knowledge
of signal sources, EURASIP Journal on Applied Signal Processing,
pp. 1-7, 2006.
[5] L. Guisheng, D. Yi, and W. Yuntao, Jointly estimating both range
and DOA of near field source, Journal of Electronics (china), vol.
21, no. 2, pp. 104-109, 2004.
[6] M. D. Collins, and W. A. Kuperman, Environmental focusing and
source localization in the ocean, Ocean Variability & Acoustic
Propagation, pp. 527-538, 1991.
[7] T. P. Bronez, Sector interpolation of non-uniform arrays for
efficient high resolution bearing estimation, Proc. ICASSP, pp.
2885-2888, 1988.
[8] L. Withers, Piecewise root-music, Proc. Int. Conf. on Acoustic,
Speech and Signal Processing, pp. 3305-3308, 1991.
[9] P. Charge and Y. Wang, A root-Music-like direction finding
method for cyclostationary signals, Eurasip Journal on Applied
Signal Processing (JASP), pp. 69-73, 2005.
[10] B. Friedlander and A. J. Weiss, A direction finding algorithm for
diversely polarized arrays, Digital Signal Processing, pp. 123-134,
1992.
[11] H. L. Van Trees, Detection, estimation, and modulation theory
(part I) , John Wiley, 2001.
[12] R. A. Horn and C. R. Johnson, Matrix Analysis, UK,
CA:Cambridge, 1999.