Abstract
A beamforming technique called Linearly Constraint Minimum Variance (LCMV) allows directing a radiation beam towards the desired direction to minimise interference of the signal through weight vectors that are computed by LCMV. Generally, to achieve a favourable beam shape, LCMV’s weights are not exactly steered towards the user’s direction. In addition, traditional methods are not equipped well to seamlessly improve the weights of LCMV. This paper employs Particle Swarm Optimisation (PSO), Firefly Algorithm (FA) and Cuckoo Search (CS) to optimise the weights of LCMV. The key anticipated goal in LCMV optimisation is the power reduction on the interferences’ side to achieve a favourable beam shape and better SINR output. A common metaheuristic algorithm is Particle Swarm Optimisation (PSO), which deals with the social behaviour of creatures such as bird flocking. A population and attraction-based algorithm is employed in Firefly algorithm; the flashing characteristics of fireflies are the inspiration of the swarm intelligence metaheuristic algorithm. Also, a novel equation-based nature inspired algorithm is Cuckoo Search (CS), which is based on the brood parasitism of a few cuckoo species combined with the so-called Lévy flights. Based on simulation results, FA showed enhanced ability to precisely determine power allocation’s optimal direction when compared with CS and PSO. Thus, better SINR results could be achieved with FA. For SINR optimisation using the LCMV technique, the effectiveness of CS in comparison with FA and PSO algorithms was simulated employing MATLAB®.
Similar content being viewed by others
References
Shia, J., Chang, H., & Wu, T. (2014). The performance comparison of LCMV and LCMN to signals, interference and noise. International Journal of Applied Science and Technology, 4, 134–140.
Camellia, D., Tiong, S. K., & Soodabeh, D. (2016). Performance comparison of FA and PSO application in SINR optimization for LCMV beamforming technique. Jokull Journal, 66, 81–95.
Yi, N. N., & Mon, S. S. Y. (2014). Modelling and simulation of adaptive beamforming for mobile communication. International Journal of Engineering Trends and Technology (IJETT), 9, 753–757. https://doi.org/10.14445/22315381/IJETT-V9P343.
Grewal, N. S., Rattan, M., & Patterh, M. S. (2012). A linear antenna array failure correction using firefly algorithm. Progress in Electromagnetics Research, 27, 241–254. https://doi.org/10.2528/PIERM12101903.
Liu, W., & Weiss, S. (2010). Wideband beamforming: Concepts and techniques (1st Edition). United Kingdom.
Anand, N. (2013). Evaluation performance study of firefly algorithm, particle swarm optimization and artificial bee colony algorithm for non-linear mathematical optimization functions. ICCCNT, Fourth International Conference on Computing, Communications and Networking Technologies. https://doi.org/10.1109/ICCCNT.2013.6726474.
Mohamad, Azizah, Zain, Azlan Mohd, Bazin, Nor Erne Nazira, & Udin, Amirmudin. (2013). Cuckoo search algorithm for optimization problems; a literature review. Applied Mechanics and Materials, 421, 502–506. https://doi.org/10.4028/www.scientific.net/AMM.421.502.
Li, R., Zhao, X., & Shi, X. W. (2008). Derivative constrained robust LCMV beamforming algorithm. Progress In Electromagnetics Research, 4, 43–52.
Balasem, S. S., Tiong, S. K., Koh, S. P., & Darzi, S. (2013). Avoiding self-nulling by using linear constraint minimum variance beamforming in smart antenna. Research Journal of Applied Sciences, Engineering and Technology, 5, 3435–3443.
Balasem, S. S., Tiong, S. K., & Koh, S. P. (2013). Beamforming algorithms technique by using MVDR and LCMV. World Applied Programming, (IECITA), 2, 315–324.
Compton, R. (2011). Adaptive antennas concept and performance. United States: Prentice Hall.
Yang, X. S. (2010). Firefly algorithm, Levy flights and global optimization. In Research and development in intelligent systems. London, (pp. 209–218). https://doi.org/10.1007/978-1-84882-983-1_15.
Poli, R., Kennedy, J., & Blackwell, T. (2007). Particle swarm optimization. Swarm Intell, 1, 33–57. https://doi.org/10.1007/s11721-007-0002-0.
Yang, X. S., & Deb, S. (2009). Cuckoo search via Lévy flights. In Proceedings of the world congress on nature & biologically inspired computing (NaBIC’09), (pp. 210–214), IEEE, Coimbatore, India.
Yang, X. S., & Deb, S. (2010). Engineering optimisation by cuckoo search. International Journal of Mathematical Modelling and Numerical Optimization, 1(4), 330–343.
Civicioglu, P., & Besdok, E. (2013). A conceptual comparison of the Cuckoo-search, particle swarm optimization, differential evolution and artificial bee colony algorithms. Artificial Intelligence Review, 39(4), 315–346.
ALukasik, S., & Zak, S. (2010). Firefly algorithm for continuous constrained optimization tasks. Computational Collective Intelligence, 5796, 97–106. https://doi.org/10.1007/978-3-642-04441-0_8.
Yang, X. S., & He, X. (2013). Firefly algorithm: recent advances and applications. International Journal of Swarm Intelligence, 1, 36–50. https://doi.org/10.1504/ijsi.2013.055801.
González, J. R., Cruz, C. D., Pelta, A., Krasnogor, N., & Terraza, G. (2010). Nature inspired cooperative strategies for optimization (NICSO). Springer, 284, 105. https://doi.org/10.1007/978-3-642-12538-6.
Gholizadeh, S., & Barati, H. (2012). A comparative study of three metaheuristics for optimum design of trusses. International Journal of Optimization in Civil Engineering, 3, 423–441.
Darzi, S., Kiong, T. S., Islam, M. T., Ismail, M., Kibria, S., & Salem, B. (2014). Null steering of adaptive beamforming using linear constraint minimum variance assisted by particle swarm optimization, dynamic mutated artificial immune system, and gravitational search algorithm. The Scientific World Journal, vol 2014, Article ID 724639, 10 pp. http://dx.doi.org/10.1155/2014/724639.
Cura, T. (2012). A particle swarm optimization approach to clustering. Expert Systems with Applications, 39, 1582–1588. https://doi.org/10.1016/j.eswa.2011.07.123.
Morsly, Y., Aouf, N., Djouadi, M. S., & Richardson, M. (2012). Particle swarm optimization inspired probability algorithm for optimal camera network placement. IEEE Sensors Journal, 12, 1402–1412. https://doi.org/10.1109/JSEN.2011.2170833.
Pal, S. K., Rai, C. S., & Singh, A. P. (2012). Comparative study of firefly algorithm and particle swarm optimization for noisy non-linear optimization problems. International Journal of Intelligent Systems and Applications, 4, 50–57. https://doi.org/10.5815/ijisa.2012.10.06.
Sun, P., Sun, H., Feng, W., Zhao, Q., & Zhao, H. (2010). A study of acceleration coefficients in particle swarm optimization algorithm based on CPSO. In Proceedings of the 2nd international conference on information engineering and computer science (ICIECS’10), (pp. 1–4). https://doi.org/10.1109/iciecs.2010.5677729.
Banks, A., Vincent, J., & Anyakoha, C. (2008). A review of particle swarm optimization-II. Hybridization, combinatorial, multi criteria and constrained optimization, and indicative applications. Natural Computing, 7, 109–124. https://doi.org/10.1007/s11047-007-9050-z.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Doroody, C., Kiong, T.S. Performance Comparison of FA, PSO and CS application in SINR Optimisation for LCMV Beamforming Technique. Wireless Pers Commun 103, 2177–2195 (2018). https://doi.org/10.1007/s11277-018-5903-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-018-5903-2