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Robust Adaptive Beamforming using Woodward-Lawson Array Design Method

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2017
Jafar Ramadhan Mohammed

Jafar Ramadhan Mohammed. Robust Adaptive Beamforming using Woodward-Lawson Array Design Method. International Journal of Computer Applications 171(1):13-18, August 2017. BibTeX

	author = {Jafar Ramadhan Mohammed},
	title = {Robust Adaptive Beamforming using Woodward-Lawson Array Design Method},
	journal = {International Journal of Computer Applications},
	issue_date = {August 2017},
	volume = {171},
	number = {1},
	month = {Aug},
	year = {2017},
	issn = {0975-8887},
	pages = {13-18},
	numpages = {6},
	url = {},
	doi = {10.5120/ijca2017914683},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}


In practice, the knowledge of the desired steering vector can be imprecise due to estimation errors in the direction of arrival (DOA) of the desired signal or imperfect array calibration. In these situations, the performances of the conventional adaptive beamformers are known to degrade substantially. In this paper, an effective method for designing a robust adaptive beamforming is presented. This method is based on Woodward-Lawson array design method, where the main beamformer in the upper channel is designed to form a main lobe with high gain in the direction of desired signal while the blocking structure in the lower channel is designed to form a wide and deep null toward and around the direction of desired signal. By generating this wide null, the proposed method provides robustness against arbitrary mismatches in the desired signal steering vector. Simulation results in ideal situations (where the desired signal steering vector is known exactly) and in more realistic situations with signal steering vector errors are presented to illustrate the performance of the proposed method.


  1. Frost, O. L., “An Algorithm For Linearly Constrained Adaptive Array Processing”, Proc. IEEE, Vol. 60, PP. 926-935, Aug. 1972.
  2. L. J. Griffiths and C. W. Jim, “ An Alternative Approach to Linearly Constrained Adaptive Beamforming”, IEEE Trans. Antennas Propag., Vol. 30, No. 1, PP. 27-34, January 1982.
  3. Wax, M., and Anu, Y., “Performance Analysis of the Minimum Variance Beamformer”, IEEE Trans. On Signal Processing, Vol. 44, No. 4, PP. 928-937, April 1996.
  4. Lee, Y. and Wu, W. R., “A Robust Adaptive Generalized Sidelobe Canceller With Decision Feedback”, IEEE Trans. Antennas Propag., Vol. 53, No.11, PP. 3822-3832, Nov. 2005.
  5. Feldman, D. D., and Griffiths, L. J., “A Projection Approach For Robust Adaptive Beamforing”, IEEE Trans. On Signal Processing, Vol. 42, PP. 867-876, 1994.
  6. J. Li, P. Stoica, and Z. Wang, “On robust Capon beamforming and diagonal loading,” IEEE Transactions on Signal Processing, vol. 51, pp. 1702–1715, July 2003.
  7. J. Li, P. Stoica, and Z. Wang, “Doubly constrained robust Capon beamforming,” IEEE Trans. Signal Process., vol. 52, no. 9, pp. 2407–2423, Sep. 2004.
  8. J. Li and P. Stoica, “Robust Adaptive Beamforming”, John Wiley and Sons, Inc., Hoboken, New Jersey, 2006.
  9. Mohammed, J.R. and Sayidmarie, K.H., “A New technique for Obtaining Wide-Angular Nulling in the Sum and Difference Patterns of Monopulse Antenna”, IEEE Antennas and Wireless Propagation Letters, vol.11, pp.1242-1245, 2012.
  10. Mohammed, J.R., “Phased Array Antenna with Ultra-Low Sidelobes”, IET Electronics Letters, vol. 49, issue 17, pp. 1055-1056, August 2013.
  11. Gaudes, C. C., Santamaria, I., Javier, V., Masgrau, E., and Paules, T. S., “Robust Array Beamforming With Sidelobe Control Using Support Vector Machines”, IEEE Trans. On Signal Processing, Vol. 55, No. 2, PP. 574-584, Feb. 2007.
  12. Widrow, B. and Stearns, S., “Adaptive Signal Processing”, Englewood Cliffs, NJ: Prentice Hall, 1985.
  13. Balanis, C. A., “Antenna Theory: Analysis and Design,” Third Edition, John Wiley & Sons, Hoboken, New Jersey, 2005.
  14. Oppenheim, A. V., Schafer, R. W. and Buck, J. R., “Discrete-Time Signal Processing”, 2nd ed., Prentice Hall, Upper Saddle River, NJ, 1999.
  15. Hirata, K., and Mano, S., “A Multiple Sidelobe Canceller Using Tapped Delay Line With Gram-Schmidt Processing”, IEEE International Conference on TENCON-Digital Signal Processing Applications, Vol. 2, PP. 834-839, Nov. 1996.
  16. Xi, J. and Chicharo, J. F. , “Performance of Single-Auxiliary-Element Adaptive Sidelobe Cancellers For Multiple Jammer Environments”, International Journal of Electronics, Vol. 76, No. 6, PP. 999-1009, 1994.
  17. Haykin, S. and Kailath, T. “Adaptive Filter Theory” , Fourth Edition, Person Education (Singapore), Indian Branch, India, 2002.


Adaptive Beamforming, Woodward-Lawson array design, Direction-of-arrival mismatch, desired signal cancellation