Performance Optimization of the Arbitrary Arrays with Randomly Distributed Elements for Wireless Sensor Networks


  • Jafar Ramadhan Mohammed College of Electronics Engineering, Ninevah University, Iraq


Arbitrary Array, Beamforming, Convex Optimization, Minimum Sidelobe Level, Randomly Spaced Elements,


Beamforming using regular linear or planar arrays, in which their elements are uniformly spaced is widely studied for various applications. However, in the wireless sensor network applications, such regular arrays are not possible to build. Thus, they are usually built with randomly distributed planar elements. Generating the required beamforming from such randomly distributed arrays that can provide a significant improvement in the wireless sensor network performance is a real challenging issue. In this paper, the amplitude and phase of each random element within the arbitrary bounded area is optimized such that its corresponding array pattern acts as a beam-steerable with minimum sidelobe level and a certain beamwidth. Simulation results under various optimization constraints are given to show the effectiveness of the considered random array. The effect of changing the total number of array elements on the array performance, such as beamwidth, minimum sidelobe level, and the gain were also investigated.


Naidu, P.S., “Distributed Sensor Arrays Localization,” CRC press, Taylor & Francis Group, 2018.

Mohammed, J.R,” Robust Adaptive Beam forming using WoodwardLawson Array Design Method,” International Journal of Computer Applications, vol. 171, no. 1, pp.13-18, August 2017.

Mohammed, J.R., "A New Antenna Array Pattern Synthesis Method with Sidelobe Control", International Journal of Telecommunication, Electronics, and Computer Engineering, Sept. 2018.

Guo, H., Guo, C.-J., Qu, Y. and Ding, J. "Pattern Synthesis of Concentric Circular Antenna Array by Nonlinear Least-Square Method," Progress In Electromagnetics Research B, Vol. 50, 331-346, 2013.

Haykin, S. and Kailath, T.,” Adaptive Filter Theory”, Pearson Education (Singapore) Ltd., Indian Branch, Fourth Edition, 2003.

Mohammed, J.R and Sayidmarie, K. H. “Sensitivity of the Adaptive Nulling to Random Errors in Amplitude and Phase Excitations in Array Elements," International Journal of Telecommunication, Electronics, and Computer Engineering, vol. 10, no. 1, pp. 1-6, February 2018.

Mohammed, J.R and Sayidmarie, K. H., "Performance Evaluation of the Adaptive Sidelobe Canceller with various Auxiliary Configurations," AEÜ International Journal of Electronics and Communications, vol. 80, pp. 179–185, 2017.

Mohammed, J.R,” Development of two-input adaptive noise canceller for wideband and narrowband noise signals,” International Journal of Speech Technology, pp. 1-11, July 2017.

Wen-Pin Liao1 and Fu-Lai Chu1,” Null Steering in Planar Array by Controlling Only Current Amplitudes Using Genetic Algorithms”, Microwave and Optical Technology Letters, vol. 16, no. 2, PP. 97-103, October 1997.

Robinson, J. and Rahmat-Samii, Y., “Particle Swarm Optimization in Electromagnetics”, IEEE Trans. Antennas Propag., vol. 52, no. 2, pp. 397–407, Feb. 2004.

Mohammed, J.R." Thinning a Subset of Selected Elements for Null Steering Using Binary Genetic Algorithm", Progress in Electromagnetics Research M, vol. 67, pp. 147-157, March 2018.

Aksoy, E., and Afacan, E.," Planar Antenna Pattern Nulling Using Differential Evolution Algorithm", Int. J. Electron. Commun. (AE,)ـ Vol. 63, 2009, PP. 116 – 122.

T. M. Bruintjes, T. M., Kokkeler, A. B. J. and Smit, G. J.M. " Asymmetric Shaped-Pattern Synthesis for Planar Antenna Arrays", International Journal of Antennas and Propagation, vol. 2016, Article ID 4746381, 13 pages.

Qu, Y., Liao, G. S., Zhu, S. Q., and Liu, X. Y.,” Pattern Synthesis of Planar Antenna Array Via Convex Optimization For Airborne Forward looking Radar”, Progress in Electromagnetics Research, PIER, 84, 1- 10, 2008.

Boyd, S. ‘CVX: Matlab software for disciplined convex programming, version 2.1’, 2014.

Labret, H. and Boyd, S.,”Antenna array pattern synthesis via convex optimization,” IEEE Trans. On Signal Processing, vol. 45, no.3, pp. 526-532, March 1997.




How to Cite

Mohammed, J. R. (2019). Performance Optimization of the Arbitrary Arrays with Randomly Distributed Elements for Wireless Sensor Networks. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 11(4), 63–68. Retrieved from