volume | PIER Journals

Abstract

Adaptive array processing algorithms have received much attention in the past four decades. Modern radars have to consider various sources of noises and interferences for accurate and real time detection. In addition to interferences arising between the target and receiver, such as clutter and jammers, the use of the conventional techniques applied to the jammers cancellation in radars systems, especially when sources to cancel are moving (i.e., a dynamic environment as it is usually the case for air- and space-based radar), requires an adaptive arrays of several hundreds and/or thousands of elements. These methods are inefficient because of the large amount of data that describes the problem, which can limit considerably the achievement of the optimal performances due to the great computational complexity, costs and the very long time of both convergence and tracking. In this paper, we propose the study of a newly optimized algorithm, based on the known Least Mean Square (LMS) method due to its simplicity and effectiveness especially when work is driven toward the moving target tracking. Our proposed algorithm contains two main issues, (i) the use of partial adaptively scheme and (ii) the use of the block processing method. We present here our performances in the improvement of the signal to interference plus noise ratio (SINR) obtained due to these two aspects in cancellation of jammers and tracking. Since all the signal transformations are simple and straightforward, our new process can be significantly faster than the LMS algorithm while its effectiveness is well comparable to that when the LMS algorithm is used directly.

1. Ares-Pena, F. J., G. Franceschetti, and J. A. Rodriguez, "A simple alternative for beam reconfiguration of array antennas," Progress In Electromagnetics Research, Vol. 88, 227-240, 2008.
doi:10.2528/PIER08110303

2. Zhou, H.-J., B.-H. Sun, J.-F. Li, and Q.-Z. Liu, "Efficient optimization and realization of a shaped-beam planar array for very large array application," Progress In Electromagnetics Research, Vol. 89, 1-10, 2009.
doi:10.2528/PIER08112503

3. Zhang, S., S.-X. Gong, Y. Guan, P.-F. Zhang, and Q. Gong, "A novel iga-edspso hybrid algorithm for the synthesis of sparse arrays," Progress In Electromagnetics Research, Vol. 89, 121-134, 2009.
doi:10.2528/PIER08120806

4. Wang, Y., G. Liao, Z. Ye, and X. Wang, "Combined beamforming with alamouti coding using double antenna array group for multiuser interference cancellation," Progress In Electromagnetics Research, Vol. 88, 213-226, 2008.
doi:10.2528/PIER08102702

5. Cengiz, Y. and H. Tokat, "Linear antenna array design with use of genetic, memetic and tabu search optimization algorithms," Progress In Electromagnetics Research C, Vol. 1, 63-72, 2008.
doi:10.2528/PIERC08010205

6. Mahanti, G. K., A. Chakrabarty, and S. Das, "Phase-only and amplitude-phase only synthesis of dual-beam pattern linear antenna arrays using floating-point genetic algorithms," Progress In Electromagnetics Research, Vol. 68, 247-259, 2007.
doi:10.2528/PIER06072301

7. Henin, B. H., A. Z. Elsherbeni, and M. H. Al Sharkawy, "Oblique incidence plane wave scattering from an array of circular dielectric cylinders," Progress In Electromagnetics Research, Vol. 68, 261-279, 2007.
doi:10.2528/PIER06083102

8. Gozasht, F., G. Dadashzadeh, and S. Nikmhr, "A comprehensive performance study of circular and hexagonal array geometreis in the LMS algorithem for smart antenna applications," Progress In Electromagnetics Research, Vol. 68, 281-296, 2007.
doi:10.2528/PIER06091002

9. Mouhamadou, M., P. Armand, P. Vaudon, and M. Rammal, "Interference supression of the linear antenna arrays controlled by phase with use of SQP algorithm," Progress In Electromagnetics Research, Vol. 59, 251-265, 2006.
doi:10.2528/PIER05100603

10. Eldek, A. A., A. Z. Elsherbeni, and C. E. Smith, "Rectangular slot antenna with patch stub for ultra wideband applications and phased array systems," Progress In Electromagnetics Research, Vol. 53, 227-237, 2005.
doi:10.2528/PIER04092701

11. Aissa, B., M. Barkat, M. A. Habib, B. Atrouz, and M. C. Yagoub, "An adaptive reduced rank stap selection with staggered PRF, effect of array dimensionality," Progress In Electromagnetics Research C, Vol. 6, 37-52, 2009.
doi:10.2528/PIERC08121601

12. Frost, O. L., "An algorithm for linearly constrained adaptive array processing," Proc. IEEE, Vol. 60, 926-935, Aug. 1972.
doi:10.1109/PROC.1972.8817

13. KO, C. C., "Power inversion array in a rotating source environment," IEEE Trans. Aerosp. Electron. Syst., Vol. 16, 155-762, Nov. 1980.

14. Davies, D. E. N., "Independent angular steering of each zero of the directional pattern of a linear array," IEEE Trans. Antennas Propagat., Vol. 15, 296-298, 1967.
doi:10.1109/TAP.1967.1138880

15. Khanna, R. and B. B. Madan, "Adaptive beamforming using a cascade configuration," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 31, 940-945, 1983.
doi:10.1109/TASSP.1983.1164157

16. Compton, R. T., "On the Davies tree for adaptive array processing," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 33, 1019-1021, 1985.
doi:10.1109/TASSP.1985.1164657

17. KO, C. C., "Adaptive array processing using the davies beamfonner," Proc. Inst. Elec. Eng., Vol. 133, No. W, 467-473, 1986.

18. Capon, J., R. J. Greenfield, and J. Kolker, "Multidimensional maximumlikelihood processing of a large aperture seismic array," Proc. IEEE, Vol. 55, No. 2, 192-211, Feb. 1967.
doi:10.1109/PROC.1967.5439

19. Griffths, L. J. and J.W. Jim, "An alternative approach to linearly constrained adaptive beamforming," IEEE Trans. Antennas Propagat., Vol. 30, No. 1, 27-34, Jan. 1982.
doi:10.1109/TAP.1982.1142739

20. Lee, J. C. and C. K. Un, "Performance of transform-domain LMS adaptive digital filters," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 34, No. 3, 449-510, Jun. 1986.

21. Boroujeny, B. F. and S. Gazor, "Selection of orthonormal transforms for improving the performance of the transform domain normalised LMS algorithm ," IEE Proc-F, Vol. 139, No. 5, 327-335, Oct. 1992.

22. Frost, O. L., "An algorithm for linearly constraint adaptive array processing ," Proc. IEEE, Vol. 60, No. 8, 926935, Aug. 1972.
doi:10.1109/PROC.1972.8817

23. KO, C. C., "Simple eigenvalue-equalizing preprocessor for broadband power inversion array," IEEE Trans. Aerosp. Electron. Syst., Vol. 21, No. 1, 117-127, Jan. 1985.
doi:10.1109/TAES.1985.310545

24. Yuen, S. M., "Exact least-squares adaptive beamforming using an orthogonalization network," IEEE Trans. Aerosp. Electron. Syst., Vol. 27, No. 2, 311-330, Mar. 1991.
doi:10.1109/7.78306

25. Haykin, S., A. H. Sayed, J. Zeidler, P. Yee, and P. Wei, "Adaptive tracking of linear time-variant systems by extended RLS algorithms," IEEE Trans. Signal Processing, Vol. 45, No. 5, 1118-1128, May 1997.
doi:10.1109/78.575687

26. Youcef, N. R., "A unified approach to the steady-state and tracking analyses of adaptive filters," IEEE Trans. Signal Processing, Vol. 49, No. 2, 314-324, Mar. 2001.
doi:10.1109/78.902113

27. Douglas, M., "Adaptive filters employing partial updates," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 44, 209-216, Mar. 1997.

28. Lee, C. C. and J. H. Lee, "Design and analysis of a 2-D eigenspace-based interference canceller," IEEE Trans. Antennas Propagat., Vol. 47, No. 4, 733-743, Apr. 1999.
doi:10.1109/8.768814

29. Graham, A., Kronecker Products and Matrix Calculus with Applications, Halsted Press, John Wiley and Sons, 1981.

30. Widrow, B. and S. D. Stearns, Adaptive Signal Processing, Prentice-Hall, Englewood Cliffs, 1985.

31. Chapman, D. J., "Partial adaptivity for the large array," IEEE Trans. Antennas Propagat., Vol. 24, No. 5, 685-696, Sep. 1976.
doi:10.1109/TAP.1976.1141408

32. Godavarti, M., "Antenna arrays in wireless communications,", Dissertation of Electrical Engineering and Computer Science, University of Queensland, 2001.

33. Farhang-Boroujeny, B., Adaptives Filters: Theory & Applications, John Wiley & Sons, 1998.

Dr. Brahim Atrouz

Dr. A. Alimohad

Dr. Brahim Aissa