volume | PIER Journals

Abstract

A self calibration algorithm for direction finding in the presence of arbitrary shape 3D scatterers of resonating size is presented. This algorithm removes the effects of mutual coupling and 3D scatterers on direction of arrival estimation. The scatterers and wire type antenna array are excited by incident plane waves of arbitrary direction. The 3D scatterers shape is approximated as a sphere, thus spherical harmonics are assumed to be originated in response to the plane wave excitation. The algorithm requires the location of the scatterers with reference to antenna elements. However, knowledge of exact shape of scatterers is not required. Moreover, scatterers may be located in near or far fields. The work is supported by numerical examples for different scenarios of multiple incident waves and scatterers.

1. Krim, H. and M. Viberg, "Two decades of array signal processing research: The parametric approach," IEEE Signal Processing Magazine, Vol. 13, No. 4, 67-94, July 1996.
doi:10.1109/79.526899

2. Zhang, Y. and B. P. Ng, "Music-like DOA estimation without estimating the number of sources," IEEE Transactions on Signal Processing, Vol. 58, No. 3, 1668-1676, 2010.
doi:10.1109/TSP.2009.2037074

3. Kim, K. and T. K. Sarkar, "Direction-of-arrival (DOA) estimation using a single snapshot of voltages induced in a real array operating in any environment," Microwave and Optical Technology Letters, Vol. 32, No. 5, 335-340, 2002.
doi:10.1002/mop.10172

4. Gupta, I. and A. Ksienski, "Effect of mutual coupling on the performance of adaptive arrays," IEEE Transactions on Antennas and Propagation, Vol. 31, No. 5, 785-791, 1983.
doi:10.1109/TAP.1983.1143128

5. Steyskal, H. and J. S. Herd, "Mutual coupling compensation in small array antennas," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 12, 1971-1975, 1990.
doi:10.1109/8.60990

6. Friedlander, B. and A. J. Weiss, "Direction finding in the presence of mutual coupling," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 3, 273-284, 1991.
doi:10.1109/8.76322

7. Hui, H. T., "A new definition of mutual impedance for application in dipole receiving antenna arrays," IEEE Antennas and Wireless Propagation Letters, Vol. 3, 364-367, 2004.
doi:10.1109/LAWP.2004.841209

8. Fabrizio, S. and S. Alberto, "A novel online mutual coupling compensation algorithm for uniform and linear arrays," IEEE Transactions on Signal Processing, Vol. 55, No. 2, 560-573, 2007.
doi:10.1109/TSP.2006.885732

9. Zhang, Y., Q. Wan, and A.-M. Huang, "Localization of narrow band sources in the presence of mutual coupling via sparse solution finding," Progress In Electromagnetics Research, Vol. 86, 243-257, 2008.
doi:10.2528/PIER08090703

10. Ye, Z. F., J. S. Dai, X. Xu, and X. P. Wu, "DOA estimation for uniform linear array with mutual coupling," IEEE Transactions on Aerospace and Electronic Systems, Vol. 45, No. 1, 280-288, 2009.
doi:10.1109/TAES.2009.4805279

11. Friel, E. M. and K. M. Pasala, "Direction finding with compensation for a near field scatterer," Antennas and Propagation Society International Symposium, APS. Digest, Vol. 1, 106-109, 1995.
doi:10.1109/APS.1995.529974

12. Burintramart, S., T. K. Sarkar, Y. Zhang, and M. Salazar-Palma, "Nonconventional least squares optimization for DOA estimation," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 707-714, 2007.
doi:10.1109/TAP.2007.891549

13. Henault, S. and Y. M. M. Antar, "Accurate evaluation of mutual coupling for array calibration," Computational Electromagnetics International Workshop, CEM , 34-37, 2009.

14. Horiki, Y. and E. H. Newman, "A self-calibration technique for a DOA array with near-zone scatterers," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 4, 1162-1166, 2006.
doi:10.1109/TAP.2006.872672

15. Foutz, J., A. Spanias, and M. K. Banavar, Narrowband Direction of Arrival Estimation for Antenna Arrays, Morgan & Claypool Publishers, 2008.

16. Tuncer, E. and B. Friedlander, "Classical and Modern Direction-of-arrival Estimation," Academic Press, 2009.

17. Balanis, C. A., "Advanced Engineering Electromagnetics," Wiley, 1989.

18. Van Trees, H. L., Detection, Estimation, and Modulation Theory: Optimum Array Processing, Vol. IV, John Wiley and Sons, 2002.

19. "Comsol multiphysics modelling and engineering simulation software,", 2011.

Dr. Irfan Ahmed

Prof. Warren Perger