A Dynamic Invasive Weeds Optimization Applied to Null Control of Linear Antenna Arrays with Constrained DRR
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Abstract
In the present work, a dynamic stochastic method is proposed and used for the synthesis of uniform linear antenna arrays. The proposed method combines the classical invasive weeds (IWO) and the mutation process, which makes it robust, simple and shows flexibility to be adapted. The dynamic IWO applies the mutation process in the calculation of standard deviation during the spatial dispersal process of produced seeds while keeping the mean at the parent plants. In the mutation process, if special conditions were achieved, the standard deviation would be re-initialized. This proposed method tries to achieve an optimal array pattern by acting on the relative amplitude excitation of each element in the linear array for an optimal inter-element spacing. The optimal array pattern has deep or broad nulls in some directions of interferences with low sidelobes level. The objective of the synthesis is to get amplitude excitations with low dynamic range ratio (DRR), which facilitates the design of beamforming feed network. To illustrate the robustness of the proposed method, numerical examples are presented and compared with the obtained results using bees algorithm (BA), bacterial foraging algorithm (BFA), real genetic algorithm (RGA), and the corresponding reference array pattern for each example.
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References
A. Das, D. Mandal, S. P. Ghoshal, and R. Kar, "Concentric circular antenna array synthesis for sidelobe suppression using moth flame optimization," International Journal of Electronics and Communications, vol. 86, pp. 177-184, 2018.
S. U. Rahman, Q. Cao, M. M. Ahmed, and H. Khalil, "Analysis of Linear Antenna Array for minimum Side Lobe Level, Half Power Beamwidth, and Nulls control using PSO," Journal of Microwaves, Optoelectronics and Electromagnetic Applications, vol. 16, no. 2, pp. 577-591, 2017.
J. Bai, Y. Liu, J. Cheng, P. You, and Q. Liu, "Shaped power pattern antenna array synthesis with reduction of dynamic range ratio," Progress in Electromagnetic Research Symposium (PIERS), Aug 2016, China, pp. 2444-2447, 2016.
C. Godara, "Applications of Antenna Arrays to Mobile Communications, Part I: Performance Improvement, Feasibility, and System Considerations," Proceedings of the IEEE, vol. 85, no. 7, pp. 1031-1060, 1997.
M. Comisso, and R. Vescovo, "3D Power Synthesis with Reduction of Near-Field and Dynamic Range Ratio for Conformal Antenna Arrays," IEEE Transactions on Antennas and Propagation, vol. 59, no. 4, pp. 1164-1174, 2011.
R. Vescovo, "Array Pattern Synthesis with Near-field Constraints, Reconfigurability by Phase-only Control and Reduction of Dynamic Range Ratio," IEEE Antenna and Propagation Society International Symposium, 1B, pp.774-777. 2005.
D. M. Pozar, "The Active Element Pattern," IEEE Transactions on Antennas and Propagation, vol. 42, no. 8, pp. 1176-1178, 1994.
C. A. Balanis, "Modern Antenna Handbook: part III Arrays and synthesis methods," John Wiley & Sons, USA, 2008.
S. K. Goudos, C. Kalialakis, and R. Mittra, "Evolutionary Algorithms Applied to Antennas and Propagation: A Review of State of the Art," International Journal of Antennas and Propagation, vol. 2016, pp. 1-12, 2016.
L. Merad, F.T. Bendimerad, S.M. Meriah, and S. A. Djennas, "Neural Networks for Synthesis and Optimization of Antenna Arrays," Radio Engineering, vol. 16, no. 1, pp. 23-30. 2007.
L. Bian, "Low-side-lobe pattern synthesis of antenna array by genetic algorithm," Journal of Computer Applications, vol. 28, no. 7, pp. 1656-1658, 2008.
K. Guney, and S. Basbug, "Interference Suppression of Linear Antenna Arrays by Amplitude-Only Control Using a Bacterial Foraging Algorithm," Progress in Electromagnetics Research, PIER, vol. 79, pp. 475-497, 2008.
A. Sharaqa, and N. Dib, "Design of Linear and Elliptical Antenna Arrays Using Biogeography Based Optimization," Arabian Journal for Science and Engineering, vol. 39, no. 4, pp. 2929-2939, 2014.
K. Guney, and M. Onay, "Amplitude-Only Pattern Nulling of Linear Antenna Arrays with the use of Bees Algorithm," Progress in Electromagnetics Research, PIER, vol. 70, pp. 21-36, 2007.
M. Khodier, and C. G. Christodoulou, "Linear Array geometry synthesis with minimum sidelobe level and null control using Particle Swarm Optimization," IEEE transaction on antennas and propagation, vol. 53, no. 8, pp. 2674-2679, 2005.
H. Rakhshani and A. Rahati, "Snap-drift cuckoo search: A novel cuckoo search optimization algorithm," Applied Soft Computing, vol. 52, pp. 771-794, 2017.
L. R. Jaya and N. Mary, "Synthesis of linear antenna arrays using Jaya, self-adaptive Jaya, and chaotic Jaya algorithms," International Journal of Electronics and Communications, vol. 92, pp. 54-63, 2018.
A. R. Mehrabian, and C. Lucas, "A Novel Numerical Optimization Algorithm Inspired from Weed Colonization," Ecology Information, vol. 1, no. 4, pp. 355-366, 2006.
S. Karimkashi, and A. Kishk, "Invasive Weed Optimization and its Features in Electromagnetics," IEEE Transactions on Antenna and Propagation, vol. 58, no. 4, pp. 1269-1278, 2010.
C. Veenhuis, "Binary Invasive Weed Optimization," Second World Congress on Nature and Biologically Inspired Computing, IEEE, Japan, pp. 449-454, 2010.
X. Wang, Y. Jiao, Y. Liu, and Y. Tan, "Synthesis of Large Planar Thinned Arrays Using IWO-IFT Algorithm," Progress In Electromagnetics Research, vol. 136, pp. 29-42, 2013.
Y. Y. Bai, S. Xiao, C. Liu, and B. Z. Wang, "A Hybrid IWO/PSO Algorithm for Pattern Synthesis of Conformal Phased Arrays," IEEE Transactions on Antennas and Propagation, vol. 61, no. 4, pp. 2328-2332, 2013.
A. Dastranj, H. Abiri, and A. R. Mallahzadeh, "Two-dimensional synthesis and optimization of a broadband shaped beam reflector antenna using IWO and PSO algorithms," Int. J. RF Microwave CAE, vol. 25, no. 2, pp. 129-140, 2015.
Z. D. Zaharis, C. Skeberis, T.D. Xenos, P.I. Lazaridis, and J. Cosmas, "Design of a Novel Antenna Array Beamformer Using Neural Networks Trained by Modified Adaptive Dispersion Invasive Weed Optimization Based Data," IEEE Transactions on Broadcasting, vol. 59, no. 3, pp. 455-460, 2013.
A. Dastranj, "Optimization of a Printed UWB Antenna: Application of the invasive weed optimization algorithm in antenna design," IEEE Antennas and Propagation Magazine, vol. 59, no. 1, pp. 48-57, 2017.
R. Giri, A. Chowdhury, A. Ghosh, B. K. Panigrahi, and A. Mohapatra, "Electricity Price Forecasting A Hybrid Wavelet Transform and Evolutionary- ANN Approach," International Conference on Power Electronics, Drives and Energy Systems & Power India 2010, pp. 1-6, 2010.
W. T. Li, Y. Q. Hei, and X. W. Shi, "Synthesis of Conformal Phased Antenna Arrays With a Novel Multiobjective Invasive Weed Optimization Algorithm," Frequenz, vol. 72, no. 5-6, pp. 209-219, Apr. 2018.
E. H. Kenane, F. Djahli, and A. Bartil, "Synthesis of Cosecant Linear Antenna Array Pattern using a Novel Modified Invasive Weeds Optimization," Elektronika ir Elektrotechnika, vol. 21, no. 5, pp. 86-89, 2015.
E. H. Kenane, and F. Djahli, "Optimum design of non-uniform symmetrical linear antenna arrays using a novel modified invasive weeds optimization," Archives of Electrical Engineering, vol. 65, no. 1, pp. 5-18, 2016.
B. Goswami, and D. Mandal, "A Genetic Algorithm for the Level Control of Nulls and Side lobes in Linear Antenna Arrays," Journal of King Saud University, Computer, and Information Sciences, vol. 25, no. 2, pp. 117-126, 2013.
T. Lo, J. Wang, and J. Litva, "An Optimization Approach to Pattern Synthesis in the Design of Microstrip Phased Array Antennas," Digest on Antennas and Propagation Society International Symposium, IEEE, pp. 886-889. 1989.
Z. Xu, Y. Liu, M. Li, and Y. Li, "Linearly Polarized Shaped Power Pattern Synthesis With Dynamic Range Ratio Control for Arbitrary Antenna Arrays," IEEE Access, vol. 7, pp. 53621-53628, 2019.
S. R. Radosevich, J. S. Holt, and C. M. Ghersa, "Ecology of weeds and invasive plants: relationship to agriculture and natural resource management," John Wiley & Sons, Ed. New Jersey, 2007.
A. Basak, S. Pal, S. Das, and A. Abraham, "Circular Antenna Array Synthesis with a Differential Invasive Weed Optimization Algorithm," Tenth International Conference on Hybrid Intelligent Systems, IEEE Conference, USA, pp. 153-158. 2010.
G. G. Roy, S. Das, P. Chakraborty, and P. N. Suganthan, "Design of Non-uniform Circular Antenna Arrays Using a Modified Invasive Weed Optimization Algorithm," IEEE Transactions on Antennas & Propagation, vol. 59, no. 1, pp. 110-118, 2011.
G. R. Hardel, D. Mandal, S. P. Ghoshal, and R. Kar, "Minimization of Side Lobe of Optimized Uniformly Spaced and Non-uniform Excited Time-Modulated Linear Antenna Arrays Using Genetic Algorithm," Lecture Notes in Computer Science, Swarm, Evolutionary, and Memetic Computing, Springer, vol. 7677, pp. 451-458, 2012.
S. K. Mahto and A. Choubey, "A novel hybrid IWO/WDO algorithm for nulling pattern synthesis of uniformly spaced linear and non-uniform circular array antenna," Int. J. Electron. Commun. (AEÜ), vol. 70, no. 6, pp. 750-756, 2016.