Synthesis of Linear Antenna Arrays Using Enhanced Firefly Algorithm

Nature inspired algorithms are finding extensive applications in real-world applications. Firefly algorithm (FA) is one such swarm intelligent algorithm introduced in the recent past. This algorithm has proved its competitiveness over standard benchmark and real-world applications, but suffers from the problem of slow convergence speed. So, in order to overcome this problem, a modified FA approach called enhanced firefly algorithm (EFA) is proposed. The performance of the proposed EFA with respect to FA and other algorithms has been evaluated for eleven benchmark functions. The numerical results show that the novel method consistently provides better solution at a faster rate. Moreover, as a real-world application, EFA has been used for synthesis of linear antenna array for both equally and unequally spaced arrays. The results demonstrate that EFA provides reduced sidelobe level and faster convergence in comparison with algorithms like FA, biogeography-based optimization, cuckoo search, differential evolution, genetic algorithm, particle swarm optimization, tabu search and Taguchi method.

[1]  Jianming Zhan,et al.  General Forms of (α, β)-Fuzzy Subhypergroups of Hypergroups , 2013, J. Multiple Valued Log. Soft Comput..

[2]  Bilal Babayigit,et al.  Enhancing artificial bee colony algorithm using inversely proportional mutation , 2013, Int. J. Reason. based Intell. Syst..

[3]  Sriparna Saha,et al.  New cuckoo search algorithms with enhanced exploration and exploitation properties , 2018, Expert Syst. Appl..

[4]  Bilal Babayigit,et al.  A modified artificial bee colony algorithm for numerical function optimization , 2012, 2012 IEEE Symposium on Computers and Communications (ISCC).

[5]  Arthur C. Sanderson,et al.  JADE: Self-adaptive differential evolution with fast and reliable convergence performance , 2007, 2007 IEEE Congress on Evolutionary Computation.

[6]  Urvinder Singh,et al.  Optimal Synthesis of Linear Antenna Arrays Using Modified Spider Monkey Optimization , 2016, Arabian Journal for Science and Engineering.

[7]  Mohammad Asif Zaman,et al.  Nonuniformly Spaced Linear Antenna Array Design Using Firefly Algorithm , 2012 .

[8]  Xin Yao,et al.  Evolutionary programming made faster , 1999, IEEE Trans. Evol. Comput..

[9]  Siti Zaiton Mohd Hashim,et al.  A New Hybrid Firefly Algorithm for Complex and Nonlinear Problem , 2012, DCAI.

[10]  Xin-She Yang,et al.  Firefly algorithm with chaos , 2013, Commun. Nonlinear Sci. Numer. Simul..

[11]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Ponnuthurai Nagaratnam Suganthan,et al.  Problem Definitions and Evaluation Criteria for the CEC 2014 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization , 2014 .

[13]  Rohit Salgotra,et al.  Synthesis of linear antenna array using flower pollination algorithm , 2016, Neural Computing and Applications.

[14]  A. Akdagli,et al.  Clonal Selection Algorithm for Design of Reconfigurable Antenna Array with Discrete Phase Shifters , 2007 .

[15]  Sam Kwong,et al.  Gbest-guided artificial bee colony algorithm for numerical function optimization , 2010, Appl. Math. Comput..

[16]  Dan Simon,et al.  Biogeography-Based Optimization , 2022 .

[17]  Munish Rattan,et al.  Design of Linear and Circular Antenna Arrays Using Cuckoo Optimization Algorithm , 2014 .

[18]  G. Kannan,et al.  Reactive Power Optimization Using Firefly Algorithm , 2015 .

[19]  Giuseppe Pelosi,et al.  A Novel Multiobjective Taguchi's Optimization Technique for Multibeam Array Synthesis , 2013 .

[20]  H. Soneji,et al.  Towards the improvement of Cuckoo search algorithm , 2012, 2012 World Congress on Information and Communication Technologies.

[21]  Thomas Stützle,et al.  Ant colony optimization: artificial ants as a computational intelligence technique , 2006 .

[22]  Dervis Karaboga,et al.  A comparative study of Artificial Bee Colony algorithm , 2009, Appl. Math. Comput..

[23]  Urvinder Singh,et al.  LINEAR ARRAY SYNTHESIS USING BIOGEOGRAPHY BASED OPTIMIZATION , 2010 .

[24]  Rohit Salgotra,et al.  Application of mutation operators to flower pollination algorithm , 2017, Expert Syst. Appl..

[25]  Xin-She Yang,et al.  A discrete firefly algorithm to solve a rich vehicle routing problem modelling a newspaper distribution system with recycling policy , 2016, Soft Comput..

[26]  Quanyuan Feng,et al.  Synthesis of Unequally Spaced Antenna Arrays by Using Differential Evolution , 2010, IEEE Transactions on Antennas and Propagation.

[27]  Zhong Liu,et al.  An approach to variable-order prediction via multiple distal dendrites of neurons , 2018, Neural Computing and Applications.

[28]  Kerim Guney,et al.  A Clonal Selection Algorithm for null Synthesizing of Linear Antenna Arrays by Amplitude Control , 2006 .

[29]  Constantine A. Balanis,et al.  Antenna theory: a review , 1992, Proc. IEEE.

[30]  M. Meybodi,et al.  A new hybrid algorithm based on Firefly Algorithm and cellular learning automata , 2012, 20th Iranian Conference on Electrical Engineering (ICEE2012).

[31]  Feng Gao,et al.  Design and Simulation of a Modified Firefly Algorithm , 2014, 2014 Seventh International Joint Conference on Computational Sciences and Optimization.

[32]  M. Khodier,et al.  LINEAR AND CIRCULAR ARRAY OPTIMIZATION: A STUDY USING PARTICLE SWARM INTELLIGENCE , 2009 .

[33]  Thomas Stützle,et al.  Ant Colony Optimization , 2009, EMO.

[34]  Majid Khodier,et al.  Optimisation of antenna arrays using the cuckoo search algorithm , 2013 .

[35]  Xin-She Yang,et al.  Learning Parameters in Deep Belief Networks Through Firefly Algorithm , 2016, ANNPR.

[36]  M. Rattan,et al.  Synthesis of aperiodic linear antenna arrays using genetic algorithm , 2007, 2007 19th International Conference on Applied Electromagnetics and Communications.

[37]  Ashwin Kothari,et al.  Ant Lion Optimization algorithm to control side lobe level and null depths in linear antenna arrays , 2016 .

[38]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[39]  Hui Wang,et al.  Randomly attracted firefly algorithm with neighborhood search and dynamic parameter adjustment mechanism , 2017, Soft Comput..

[40]  Xin-She Yang,et al.  Eagle Strategy Using Lévy Walk and Firefly Algorithms for Stochastic Optimization , 2010, NICSO.

[41]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[42]  Carlos A. Coello Coello,et al.  A comparative study of differential evolution variants for global optimization , 2006, GECCO.

[43]  Mahmoud M. Othman,et al.  Optimal Planning of Distributed Generators in Distribution Networks Using Modified Firefly Method , 2015 .

[44]  Leandro dos Santos Coelho,et al.  A chaotic firefly algorithm applied to reliability-redundancy optimization , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[45]  Hamidreza Rashidy Kanan,et al.  Jumper firefly algorithm , 2013, ICCKE 2013.

[46]  Rabindra Kumar Sahu,et al.  Load frequency control of power system under deregulated environment using optimal firefly algorithm , 2016 .

[47]  Rohit Salgotra,et al.  A novel bat flower pollination algorithm for synthesis of linear antenna arrays , 2016, Neural Computing and Applications.

[48]  Kerim Guney,et al.  Amplitude-only pattern nulling of linear antenna arrays with the use of an immune algorithm , 2008 .

[49]  Fethi Tarik Bendimerad,et al.  Design of linear antenna arrays for side lobe reduction using the method of tabu search , 2008, Int. Arab J. Inf. Technol..

[50]  C. Christodoulou,et al.  Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization , 2005, IEEE Transactions on Antennas and Propagation.

[51]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[52]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[53]  Francisco Herrera,et al.  A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms , 2011, Swarm Evol. Comput..

[54]  Debalina Ghosh,et al.  Linear antenna array synthesis using cat swarm optimization , 2014 .

[55]  Bilal Babayigit,et al.  Design optimization of circular antenna arrays using Taguchi method , 2017, Neural Computing and Applications.

[56]  Imam Robandi,et al.  A hybrid Fuzzy Logic Controller-Firefly Algorithm (FLC-FA) based for MPPT Photovoltaic (PV) system in solar car , 2016, 2016 IEEE International Conference on Power and Renewable Energy (ICPRE).

[57]  Russell C. Eberhart,et al.  Parameter Selection in Particle Swarm Optimization , 1998, Evolutionary Programming.

[58]  Xin-She Yang,et al.  A literature survey of benchmark functions for global optimisation problems , 2013, Int. J. Math. Model. Numer. Optimisation.

[59]  K. Faez,et al.  A speech recognition system based on Structure Equivalent Fuzzy Neural Network trained by Firefly algorithm , 2012, 2012 International Conference on Biomedical Engineering (ICoBE).

[60]  Xin-She Yang,et al.  Flower Pollination Algorithm for Global Optimization , 2012, UCNC.

[61]  K. Siakavara,et al.  Application of a Comprehensive Learning Particle Swarm Optimizer to Unequally Spaced Linear Array Synthesis With Sidelobe Level Suppression and Null Control , 2010, IEEE Antennas and Wireless Propagation Letters.

[62]  Nihad Dib,et al.  Design of Linear and Elliptical Antenna Arrays Using Biogeography Based Optimization , 2014 .

[63]  Pavlos I. Lazaridis,et al.  Synthesis of a Near-Optimal High-Gain Antenna Array With Main Lobe Tilting and Null Filling Using Taguchi Initialized Invasive Weed Optimization , 2014, IEEE Transactions on Broadcasting.

[64]  Mohammad Reza Meybodi,et al.  novel multi-swarm algorithm for optimization in dynamic environments based n particle swarm optimization , 2013 .

[65]  S. Bharathi Raja,et al.  Optimization of electrical discharge machining parameters on hardened die steel using Firefly Algorithm , 2013, Engineering with Computers.

[66]  Kerim Guney,et al.  Position only pattern nulling of linear antenna array by using a clonal selection algorithm (CLONALG) , 2007 .

[67]  Dong Liu,et al.  APPLICATION OF CHAOTIC PARTICLE SWARM OPTIMIZATION ALGORITHM TO PATTERN SYNTHESIS OF ANTENNA ARRAYS , 2011, Progress In Electromagnetics Research.

[68]  Urvinder Singh,et al.  Optimal Synthesis of Thinned Arrays Using Biogeography Based Optimization , 2012 .

[69]  Y. Rahmat-Samii,et al.  Advances in Particle Swarm Optimization for Antenna Designs: Real-Number, Binary, Single-Objective and Multiobjective Implementations , 2007, IEEE Transactions on Antennas and Propagation.

[70]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[71]  Sotirios K. Goudos,et al.  Application of Taguchi's Optimization Method and Self-Adaptive Differential Evolution to the Synthesis of Linear Antenna Arrays , 2010 .

[72]  Bilal Babayigit,et al.  Application of the Taguchi method to the design of circular antenna arrays , 2015, 2015 9th International Conference on Electrical and Electronics Engineering (ELECO).

[73]  Ali Akdagli,et al.  Interference suppression of linear antenna arrays by phase-only control using a clonal selection algorithm , 2008, J. Frankl. Inst..

[74]  Amir Hossein Alavi,et al.  A Hybrid Meta-Heuristic Method Based on Firefly Algorithm and Krill Herd , 2016 .

[75]  Ken A. Hawick,et al.  Parallel Parametric Optimisation with Firefly Algorithms on Graphical Processing Units , 2012 .

[76]  Rohit Salgotra,et al.  Pattern Synthesis of Linear Antenna Arrays Using Enhanced Flower Pollination Algorithm , 2017 .

[77]  Zaharias D. Zaharis,et al.  A Modified Taguchi's Optimization Algorithm for Beamforming Applications , 2012 .