2-D DOA Estimation with Matrix Pencil Method in the Presence of Mutual Coupling
Keywords:
2-D DOA estimation, Matrix pencil, Mutual coupling, URAAbstract
A new 2-D Direction of Arrival (DOA) estimation algorithm in the presence of mutual coupling for the Uniform Rectangular Array (URA) based on Matrix Pencil (MP) method is presented. By setting a group of elements as auxiliary on each side of the URA, it can accurately estimate the DOAs using a single snapshot of data and the effect of mutual coupling can be eliminated by the inherent mechanism of the proposed method. Theoretical analysis and simulation results demonstrated the effectiveness of the proposed algorithm.
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J. C. Jr. Liberti, and T. S. Rappaport, “Smart Antennas for Wireless Communications,”: IS-95 and Third Generation CDMA Applications. Englewood Cliffs, Prentice Hall, pp. 123-135, 1993.
Y. Hua, and T. K. Sarkar, “Matrix Pencil Method for Estimation Parameters of Exponentially Damped/Undamped Sinusoids in Noise,” IEEE Trans. Acoust. Speech and Signal Processing, vol. 38, pp. 814-24, 1990.
T. K. Sarkar, and O. Pereira, “Using the Matrix Pencil Method to Estimate the Parameters of a Sum of Complex Exponentials,” IEEE Antennas and Propagation Magazine, vol. 37, no. 1, pp. 48-55, February 1995.
Y. Hua, Estimating Two-Dimensional Frequencies by Matrix Enhancement and Matrix Pencil, IEEE Trans. Signal Process, vol. 40, no. 9, pp. 2267- 2280, 1992.
N. Yilmazer, S. Ari and T. K. Sarkar, “Multiple Snapshot Direct Data Domain Approach and ESPRIT Method for Direction of Arrival Estimation,” Digital Signal Processing, vol. 18, pp.561-567, 2008.
K. R. Dandekar, H. Ling and G. Xu,: ‘Effect of Mutual Coupling on Direction Finding in Smart Antenna Applications’, Electron. Lett., 36, pp. 1889-1891, 2000.
P. N. Fletcher, A. E. Wicks, and M. Dean: ‘Improvement of Coupling Corrected Difference Beams in Small Phased Arrays’, Electron. Lett., vol. 33, no. 5, pp. 352-353, 1997.
I. J. Gupta and A. A. Ksienski “Effect of Mutual Coupling on the Performance of Adaptive Array,” IEEE Trans. Ant. Propagat., vol. 31, pp. 785-91, Sep. 1983.
H. T. Hui “Compensating for the Mutual Coupling Effect in Direction Finding based on a New Calculation Method for Mutual Impedance,” IEEE Antenna and wireless Propagation Letters. vol. 2, pp. 26-29, 2003.
E. Lau, R. Adve and T. K. Sarkar, “Minimum Norm Mutual Coupling Compensation with Applications in Direction of Arrival Estimation”. IEEE Trans. Antennas Propag., vol. 52, no. 8, pp.2034-2041, Aug. 2004.
M. Lin, and L. Yang “Blind Calibration and DOA Estimation with Uniform Circular Arrays in the Presence of Mutual Coupling,” IEEE Antenna and wireless Propagation Letters. vol. 5, pp. 315-318, 2006.
J. Corcoles, M. A. Gonzalez and J. Rubio, “Mutual Coupling Compensation in Arrays Using a Spherical Wave Expansion of the Radiated Field,” IEEE Antenna and wireless Propagation Letters. 8: pp. 108-111, 2009.
H. S. Lui, and H. T. Hui, “Effective Mutual Coupling Compensation for Direction-of-Arrival Estimations Using a New, Accurate Determination Method for the Receiving Mutual Impedance,” J. of Electromagn. Waves and Appl., vol. 24, pp. 271- 281, 2010.
Z. Ye, and C. Liu, “On the Resiliency of MUSIC Direction Finding Against Antenna Sensor Coupling,” IEEE Trans. Ant. Propagat., vol. 56, no. 2, 2008.
M. D. Zoltowski, M. Haardt and C. P. Mathews, ‘Closed-form 2-D Angle Estimation with Rectangular Arrays in Element Space or Beam Space via Unitary ESPRIT’, IEEE Trans. Signal Process., vol. 44, pp. 316-328, 1996.
Z. Ye, and C. Liu, “2D DOA Estimation in the Presence of Mutual Coupling,” IEEE Trans. Antennas and Propagat., vol. 56, no. 10, 2008.
Y. C. Yu, M. Okada and Yamamoto, “Dummy Elements Add on Both Sides of Monopole- Array Assisted Doppler Spread Compensator for Digital Terrestrial Television Broadcasting Receiver,” in Proc. IEEE Int. Workshop on antenna Technology Small Antennas and Novel Metamaterials, pp. 377- 380. 2006.
Y. Hua and T. K. Sarkar “On SVD for Estimating Generalized Eigenvalues of Singular Matrix Pencil in Noise,” IEEE Transactions on Signal Processing, SP-39, 4, pp. 892-900, April 1991.
T. Svantesson, “Modeling and Estimation of Mutual Coupling in a Uniform Linear Array of Dipoles,” in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 5, pp. 2961-2964, Mar. 1999.