Abstract
In this paper the optimal performance of time modulated nine-ring concentric circular antenna array with isotropic elements has been studied based on an evolutionary optimization algorithm hybridized with local heuristic search called memetic firefly algorithm (MFA). The firefly algorithm has been applied followed by Nelder–Mead simplex method for the local heuristic search to achieve the optimal fine tuning. Other algorithms like real coded genetic algorithm (RGA) and particle swarm optimization (PSO) have been used for the comparison purpose. The comparisons among the algorithms have been made with two case studies as Case-1 and Case-2, and with two different fitness functions \((f_{{ fitness}1}, f_{{ fitness}2})\) and three control parameters like inter-element uniform/non-uniform spacing in rings, inter-ring radii and the switching-on times of rings. The simulation results show that the MFA outperforms RGA and PSO for both the cases Case-1, Case-2 and \(f_{{ fitness}1}\), \(f_{{ fitness}2}\), respectively with respect to better side lobe level (SLL). The fitness function \(f_{{ fitness}2}\) is better than the \(f_{{ fitness}1}\) with respect to sideband level. Apart from this, powers radiated at the centre/fundamental frequency and the first two sideband frequencies, and dynamic efficiency have been computed. It is found that power radiated by any sideband frequency is much less as compared to the power radiated at the centre frequency. It has been observed that as the sideband frequency increases, SBL decreases to the greater extent as compared to SLL. As per authors’ knowledge there is a little research contribution by any other previous researcher regarding numerical computation of radiation characteristics as SBLs, powers radiated at the fundamental frequency and its two sideband frequencies, directivity, and dynamic efficiency for time-modulated CCAA.
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Ballanis A (1997) Antenna theory analysis and design, 2nd edn. Willey, New York
Elliott RS (2003) Antenna theory and design. Wiley, New Jersey (revised edition)
Shanks HE, Bickmore RW (1959) Four-dimensional electromagnetic radiators. Can J Phys 37:263–275
Kummer WH, Villeneuve AT, Fong TS et al (1963) Ultra-low sidelobes from time-modulated arrays [J]. IEEE Trans Antennas Propag 11(5):633–639
Lewis BL, Evins JB (1983) A new technique for reducing radar response to signals entering antenna sidelobes [J]. IEEE Trans Antennas Propag 31(6):993–996
Yang S, Gan YB, Qing A (2002) Sideband suppression in timemodulated linear arrays by the differential evolution algorithm. IEEE Antennas Wirel Propag Lett 1:173–175
Yang S, Gan YB, Tan PK (2003) A new technique for power-pattern synthesis in time-modulated linear arrays. IEEE Antennas Wirel Propag Lett 2:285–287
Fondevila J, Bregains JC, Ares F, Moreno E (2004) Optimizing uniformly excited arrays through time modulation. IEEE Antennas Wirel Propag Lett 3:298–301
Yang S, Gan YB, Qing A, Tan PK (2005) Design of a uniform amplitude time modulated linear array with optimized time sequences. IEEE Trans Antennas Propag 53(7):2337–2339
Yang S, Gan YB, Qing A (2004) Antenna array pattern nulling using a differential evolution algorithm. Int J RF Microwave Comput-Aided Eng 14:57–63
Zhu Q, Yang S, Zheng L, Nie Z (2012) Design of a low sidelobe time modulated linear array with uniform amplitude and sub-sectional optimized time steps. IEEE Trans Antennas Propag 60(9):4436–4439
Yang Shiwen, Gan Yeow Beng, Tan Peng Kiang (2004) Evaluation of directivity and gain for time-modulated linear antenna arrays. Microwave Opti Technol Lett 42(2):167–171
Das R (1966) Concentric ring array. IEEE Trans Antennas Propag 14(3):398–400
Stearns C, Stewart A (1965) An investigation of concentric ring antennas with low sidelobes. IEEE Trans Antennas Propag 13(6):856–863
Goto N, Cheng DK (1970) On the synthesis of concentric-ring arrays. IEEE Proc 58(5):839–840
Huebner MDA (1978) Design and optimization of small concentric ring arrays. In: Proceedings of IEEE AP-S symposium, pp 455–458
Holtrup MG, Margulnaud A, Citerns J (2001) Synthesis of electronically steerable antenna arrays with element on concentric rings with reduced sidelobes. In: Proceesings of IEEE AP-S symposium, pp 800–803
Dessouky M, Sharshar H, Albagory Y (2006) Efficient sidelobe reduction technique for small-sized concentric circular arrays. Progr Electromagn Res PIER 65:187–200
Haupt RL (2008) Optimjzed element spacing for low sidelobe concentric ring arrays. IEEE Trans Antennas Propag 56(1):266–268
Munson DC, O’Brian JD, Jenkins WK (1983) A tomographic formulation of spot-light mode synthetic aperture radar. Proc IEEE 71:917–925
Compton RT (1978) An adaptive array in a spread-spectrum communication system. Proc IEEE 66:289–298
Kak AC (1985) Tomographic imaging with diffracting and non diffracting sources. In: Haykin S (ed) Array signal processing, Prentice- Hall, Englewood Cliffs
Chen XS, Ong YS, Lim MH, Tan KC (2011) A multi-facet survey of memetic computing. IEEE Trans Evol Comput 15(5):591–607
Lim MH, Krasnogor N, Ong YS, Gustafson S (2012) Editorial. Memet Comput 4:1
Dawkins R (1976) The selfish gene. Oxford University Press, Oxford
Galinier P, Hao JK (1999) Hybrid evolutionary algorithms for graph coloring. J Comb Optim 3:379–397
Fister I, Yang X-S, Brest J, Iztok Jr (2013) Fister “4—memetic self-adaptive firefly algorithm”. In: Swarm intelligence and bio-inspired computation, theory and applications, pp 73–102
Fister I Jr, Yang XS, Fister I, Brest J (2012) Memetic firefly algorithm for combinatorial optimization. In: Filipič B, Šilc J (eds) Bioinspired optimization methods and their applications: Proceedings of the fifth international conference on bioinspired optimization methods and their applications— BIOMA 2012. Jozef Stefan Institute, pp 75–86
António Carlos Conceição (2014) A memetic algorithm based on multiple learning procedures for global optimal design of composite structures. Memet Comput 6:113–131. doi:10.1007/s12293-014-0132-z
Saha Suman Kumar, Kar Rajib, Mandal Durbadal, Ghoshal Sakti Prasad (2013) Design and simulation of FIR band pass and band stop filters using gravitational search algorithm. Memet Comput 5:311–321. doi:10.1007/s12293-013-0122-6
Panduro MA, Mendez AL, Dominguez R, Romero G (2006) Design of non-uniform circular antenna arrays for side lobe reduction using the method of genetic algorithms. Int J Electron Commun (AEO) 60:713–717
Panduro MA, Brizuela CA, Balderas LI, Acosta DA (2009) A comparison of genetic algorithms, particle swarm optimization and the differential evolution method for the design of scannable circular antenna arrays. Progr. Electromag Res B 13:171–186
Ram Gopi, Mandal D, Kar R, Ghoshal SP (2013) Optimized hyper beamforming of linear antenna arrays using collective animal behaviour. Sci World J Hindwai 2013:1–13 (Article ID 982017)
Kennedy J, Eberhart R (1995) Particle swarm optimization. Proc IEEE Int Conf Neural Netw 4:1942–1948
Helal Ayah M, Abdelbar Ashraf M (2014) Incorporating domain-specific heuristics in a particle swarm optimization approach to the quadratic assignment problem. Memet Comput 6:241–254. doi:10.1007/s12293-014-0141-y
Lalwani Soniya, Kumar Rajesh, Gupta Nilama (2015) A novel two-level particle swarm optimization approach for efficient multiple sequence alignment. Memet Comput 7:119–133. doi:10.1007/s12293-015-0157-y
Shihab M, Najjar Y, Dib N, Khodier M (2008) Design of non-uniform circular antenna arrays using particle swarm optimization. J Electr Eng 59(4):216–220
Mandai D, Ghoshal SP, Bhattacharjee AK (2010) Design of concentric circular antenna array with central element feeding using particle swarm optimization with constriction factor and inertia weight approach and evolutionary programing technique. J Infrared Milli Terahz Waves 31(6):667–680
Mandai D, Ghoshal SP, Bhattacharjee AK (2010) Radiation pattern optimization for concentric circular antenna array with central element feeding using craziness based particle swarm optimization. Int J RF Microwave Comput-Aided Eng 20(5):577–586
Zheng L, Yang S, Zhu Q, Nie Z (2011) Synthesis of pencil-beam patterns with time-modulated concentric circular ring antenna arrays. In: PIERS Proceedings, Suzhou, China, September, pp 372–376
Yang XS (2009) Firefly algorithms for multimodal optimization. In: Proceedings of the 5th international conference on stochastic algorithms: foundations and applications, SAGA 2009, vol 5792. LNCS-Springer, pp 169–178
Basu B, Mahanti GK (2011) Firefly and artificial bees colony algorithm for synthesis of scanned and broadside linear array antenna. Progr Electromag Res B 32:169–190
Yang XS, Hosseini SS, Gandomi AH (2012) Firefly algorithm for solving non-convex economic dispatch problems with valve loading effect. Appl Soft Comput 12(3):1180–1186
Yang XS, Deb S (2010) Eagle strategy using Levy walk and firefly algorithms for stochastic optimization, nature inspired cooperative strategies for optimization (NICSO). Stud Comput Intell 284:101–111
Yang XS (2013) Multiobjective firefly algorithm for continuous optimization. Eng Comput 29(2):175–184
Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7(2):308–313
Hong-feng X, Guan-Zheng T (2010) A novel particle swarm optimizer without velocity: simplex-PSO. J Centr South Univ 17(2):349–356
Walpole RE, Myer RH (1978) Probability and statistics for engineers and scientists. Macmillan, New York
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Ram, G., Mandal, D., Ghoshal, S.P. et al. Analysis for optimal pattern synthesis of time modulated concentric circular antenna array using memetic firefly algorithm. Memetic Comp. 8, 63–82 (2016). https://doi.org/10.1007/s12293-015-0169-7
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DOI: https://doi.org/10.1007/s12293-015-0169-7