Research Article
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Year 2021, , 166 - 180, 31.08.2021
https://doi.org/10.35377/saucis.04.02.903208

Abstract

References

  • J. Q. Howell, “Microstrip Antennas,” IEEE Transactions on Antennas and Propagation, vol. 23, pp. 90–93, 1975.
  • C. A. Balanis, Antenna Theory: Analysis and Design. Wiley & Sons, Inc., 2016.
  • R. N. Tiwari, P. Singh, and B. K. Kanaujia, “A modified microstrip line fed compact UWB antenna for WiMAX/ISM/WLAN and wireless communications,” AEU - International Journal of Electronics and Communications, vol. 104, pp. 58–65, 2019.
  • G. Kumar, and K. P. Ray, Broadband Microstrip Antennas. Artech House, 2003.
  • A. A. Deshmukh, and G. Kumar, “Formulation of resonant frequency for compact rectangular microstrip antennas,” Microwave and Optical Technology Letters, vol. 49, no. 2, pp. 498–501, 2007.
  • A. H. Yuzer, and C. Seker, “4G C-shaped compact microstrip antenna design and production,” Pamukkale University Journal of Engineering Sciences, vol. 23, no. 5, pp. 532-535, 2017.
  • A. Akdagli, M. B. Bicer, and S. Ermis, “A novel expression for resonant length obtained by using artificial bee colony algorithm in calculating resonant frequency of C-shaped compact microstrip antennas,” Turkish Journal of Electrical Engineering and Computer Sciences, vol. 19, no. 4, pp. 597–606, 2011.
  • A. K. Bhattacharyya, and R. Garg, “Generalized transmission line model for microstrip patches,” Microwaves Optics and Antennas, vol. 132, no. 2, pp. 93–98, 1985.
  • W. Richards, Y. Lo, and D. Harrison, “An improved theory for microstrip antennas and applications,” IEEE Transactions on Antennas and Propagation, vol. 29, no. 1, pp. 38–46, 1981.
  • A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House, 2005.
  • S. C. Gao, L. W. Li, M. S. Leong, T. S. Yeo, “Analysis of an H-shaped patch antenna by using the FDTD method,” Progress In Electromagnetics Research, vol. 34, pp. 165–187, 2001.
  • J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications. Wiley, 1998.
  • T. Weiland, and M. Clemens, “Discrete electromagnetism with the finite integration technique,” Progress In Electromagnetics Research, vol. 32, pp. 65–87, 2001.
  • T. Weiland, “A discretization method for the solution of Maxwell’s equations for six-component fields,” AEU - International Journal of Electronics and Communications, vol. 31, no. 3, pp. 116–120, 1977.
  • R. F. Harrington. Field Computation by Moment Methods. Wiley, 1993.
  • E. H. Newman, and P. Tulyathan, “Analysis of microstrip antennas using moment methods,” IEEE Transactions on Antennas and Propagation, vol. 29, no. 1, pp. 47 – 53, 1981.
  • X. Cao, Y. Xia, L. Wu, and L. Lang, “A compact quad-band ring string-shaped antenna,” AEU - International Journal of Electronics and Communications, vol. 111, pp. 152910, 2019.
  • A. T. Mobashsher, K. S. Bialkowski, and A. M. Abbosh, “Design of compact cross-fed three-dimensional slot-loaded antenna and its application in wideband head imaging system,” IEEE Antennas and Wireless Propagation Letters, vol. 15, pp. 1856 – 1860, 2016.
  • D. Ustun, and A. Akdagli, “Design of a dual-wideband monopole antenna by artificial bee colony algorithm for UMTS, WLAN, and WiMAX applications,” International Journal of Microwave and Wireless Technologies, vol. 9, no. 5, pp. 1197–1208, 2017.
  • J. M. Felicio, J. M. Bioucas-Dias, J. R. Costa, and C. A. Fernandes, “Antenna design and near-field characterization for medical microwave imaging applications,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 7, pp. 4811 – 4824, 2019.
  • A. Akdagli, C. Ozdemir, S. Yamacli, and C. C. Arcasoy. “Improved formulas for the resonant frequencies of dual frequency arrow shaped compact microstrip antenna,” Microwave and Optical Technology Letters, vol. 50, no. 1, pp. 62–65, 2008.
  • V. S. Chintakindi, S. S. Pattnaik, O. P. Bajpai, S. Devi, P. K. Patra, and K. M. Bakwad, “Resonant frequency of equilateral triangular microstrip patch antenna using particle swarm optimization technique,” 2008 International Conference on Recent Advances in Microwave Theory and Applications, 2008.
  • A. Toktas, M. B. Bicer, A. Akdagli, and A. Kayabasi, “Simple formulas for calculating resonant frequencies of C and H shaped compact microstrip antennas obtained by using artificial bee colony algorithm,” Journal of Electromagnetic Waves and Applications, vol. 25, no. 11-12, pp. 1718–1729, 2011.
  • M. Biswas, and M. Dam, “Closed-form model to determine the co-axial probe reactance of an equilateral triangular patch antenna,” International Journal of Microwave and Wireless Technologies, vol. 10, no. 7, pp. 801 – 813, 2018.
  • B. Sami, B. Siham, and F. Tarek, “Analysis of a circular microstrip antenna on isotropic or uniaxially anisotropic substrate using neurospectral approach,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 33, no. 1/2, pp. 567–580, 2014.
  • L. Barkat, S. Bedra, T. Fortaki, and R. Bedra, “Neurospectral computation for the resonant characteristics of microstrip patch antenna printed on uniaxially anisotropic substrates,” International Journal of Microwave and Wireless Technologies, vol. 9, no. 3, pp. 613-620, 2017.
  • A. Kayabasi, A. Toktas, A. Akdagli, M. B. Bicer, and D. Ustun, “Applications of ANN and ANFIS to predict the resonant frequency of L-shaped compact microstrip antennas,” Applied Computational Electromagnetics Society Journal, vol. 29, no. 6, 2014.
  • A. Kayabasi, M. B. Bicer, A. Akdagli, and A. Toktas, “Computing resonant frequency of H-shaped compact microstrip antennas operating at UHF band by using artificial neural networks,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 26, no. 4, 2011.
  • D. Ustun, A. Toktas, and A. Akdagli, “Deep neural network–based soft computing the resonant frequency of E–shaped patch antennas,” AEU - International Journal of Electronics and Communications, vol. 102, pp. s54-61, 2019.
  • M. Kaur, and J. S. Sivia, “Giuseppe Peano and Cantor set fractals based miniaturized hybrid fractal antenna for biomedical applications using artificial neural network and firefly algorithm,” International Journal of RF and Microwave Computer-Aided Engineering, vol. 30, no. 1, 2020.
  • K. Y. Kapusuz, H. Tora, and S. Can, “Neural network based estimation of resonant frequency of an equilateral triangular microstrip patch antenna,” Tehnicki Vjesnik, vol. 20, no. 6, pp. 955-960, 2013.
  • S. Can, K. Y. Kapusuz, and E. Aydin, “Neural network based resonant frequency solver for rectangular-shaped shorting pin-loaded antennas,” Microwave and Optical Technology Letters, vol. 55, no. 12, pp. 3025-3028, 2013.
  • J. Singh, G. Singh, S. Kaur, and B. S. Sohi, “Performance analysis of different neural network models for parameters estimation of coaxial fed 2.4 GHz E-shaped microstrip patch antenna,” 2015 2nd International Conference on Recent Advances in Engineering and Computational Sciences, 2015.
  • T. M. Neebha, and M. Nesasudha, “Artificial neural network based design of a microstrip patch antenna for RADAR applications,” Proceedings of the International Conference on Recent Advances in Aerospace Engineering, 2017.
  • D. Karaboga, and B. Basturk, “A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm,” Journal of Global Optimization, vol. 39, no. 3, pp. 459–471, 2007.
  • X. S. Yang, Engineering Optimization: An Introduction with Metaheuristic Applications. Wiley, 2010.
  • A. Kaveh, and T. Bakhshpoori, Metaheuristics: Outlines, MATLAB Codes and Examples. Springer, 2019.
  • P. K. Abbassi, N. M. Badra, A. M. M. A. Allam, and A. El-Rafei, “WiFi antenna design and modeling using artificial neural networks,” Proceedings of 2019 International Conference on Innovative Trends in Computer Engineering, 2019.
  • X. S. Yang, “Firefly algorithms for multimodal optimization,” Lecture Notes in Computer Science, 2009.
  • W. Zhao, Z. Zhang, L. Wang, “Manta ray foraging optimization: An effective bio-inspired optimizer for engineering applications,” Engineering Applications of Artificial Intelligence, vol. 87, pp. 103300, 2020.
  • Y. Li, X. Li, J. Liu, and X. Ruan, “An improved bat algorithm based on lévy flights and adjustment factors,” Symmetry, vol. 11, no. 7, pp. 925, 2019.
  • O. E. Turgut, “A novel chaotic manta-ray foraging optimization algorithm for thermo-economic design optimization of an air-fin cooler,” SN Applied Sciences, vol. 3, no. 1, pp. 3, 2021.

Analysis of C-shaped Compact Microstrip Antennas Using Deep Neural Networks Optimized by Manta Ray Foraging Optimization with Lévy-Flight Mechanism

Year 2021, , 166 - 180, 31.08.2021
https://doi.org/10.35377/saucis.04.02.903208

Abstract

In recent years, microstrip antennas have become a popular research subject with the increasing use of mobile technologies. With the development of neural networks, the design and analysis of microstrip antennas are carried out quickly with high accuracy. However, optimizing the weight matrices and bias vectors of deep neural learning models is an important challenge for engineering problems. This study presents a deep neural network-based (DNN-based) neural model to estimate the gain and scattering parameter (S11) of C-shaped compact microstrip antennas (CCMAs). For this purpose, the S11 and gain values of 324 CCMAs with different physical and electrical properties were obtained using full-wave electromagnetic simulation software based on the finite integration technique (FIT). The data related to 324 CCMAs were used for the training and testing process. The improved manta ray foraging optimization (MRFO) algorithm based on the Lévy-flight (LF) mechanism was used to optimize the connection weights matrices and bias vectors. The MRFO-optimized model has estimation success for training and testing data as 0.925 and 0.922, in terms of R2 score, respectively. The estimated resonant frequencies using the trained model are compared with the studies in the literature, and an average percentage error (APE) of 0.933% is obtained.

References

  • J. Q. Howell, “Microstrip Antennas,” IEEE Transactions on Antennas and Propagation, vol. 23, pp. 90–93, 1975.
  • C. A. Balanis, Antenna Theory: Analysis and Design. Wiley & Sons, Inc., 2016.
  • R. N. Tiwari, P. Singh, and B. K. Kanaujia, “A modified microstrip line fed compact UWB antenna for WiMAX/ISM/WLAN and wireless communications,” AEU - International Journal of Electronics and Communications, vol. 104, pp. 58–65, 2019.
  • G. Kumar, and K. P. Ray, Broadband Microstrip Antennas. Artech House, 2003.
  • A. A. Deshmukh, and G. Kumar, “Formulation of resonant frequency for compact rectangular microstrip antennas,” Microwave and Optical Technology Letters, vol. 49, no. 2, pp. 498–501, 2007.
  • A. H. Yuzer, and C. Seker, “4G C-shaped compact microstrip antenna design and production,” Pamukkale University Journal of Engineering Sciences, vol. 23, no. 5, pp. 532-535, 2017.
  • A. Akdagli, M. B. Bicer, and S. Ermis, “A novel expression for resonant length obtained by using artificial bee colony algorithm in calculating resonant frequency of C-shaped compact microstrip antennas,” Turkish Journal of Electrical Engineering and Computer Sciences, vol. 19, no. 4, pp. 597–606, 2011.
  • A. K. Bhattacharyya, and R. Garg, “Generalized transmission line model for microstrip patches,” Microwaves Optics and Antennas, vol. 132, no. 2, pp. 93–98, 1985.
  • W. Richards, Y. Lo, and D. Harrison, “An improved theory for microstrip antennas and applications,” IEEE Transactions on Antennas and Propagation, vol. 29, no. 1, pp. 38–46, 1981.
  • A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House, 2005.
  • S. C. Gao, L. W. Li, M. S. Leong, T. S. Yeo, “Analysis of an H-shaped patch antenna by using the FDTD method,” Progress In Electromagnetics Research, vol. 34, pp. 165–187, 2001.
  • J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications. Wiley, 1998.
  • T. Weiland, and M. Clemens, “Discrete electromagnetism with the finite integration technique,” Progress In Electromagnetics Research, vol. 32, pp. 65–87, 2001.
  • T. Weiland, “A discretization method for the solution of Maxwell’s equations for six-component fields,” AEU - International Journal of Electronics and Communications, vol. 31, no. 3, pp. 116–120, 1977.
  • R. F. Harrington. Field Computation by Moment Methods. Wiley, 1993.
  • E. H. Newman, and P. Tulyathan, “Analysis of microstrip antennas using moment methods,” IEEE Transactions on Antennas and Propagation, vol. 29, no. 1, pp. 47 – 53, 1981.
  • X. Cao, Y. Xia, L. Wu, and L. Lang, “A compact quad-band ring string-shaped antenna,” AEU - International Journal of Electronics and Communications, vol. 111, pp. 152910, 2019.
  • A. T. Mobashsher, K. S. Bialkowski, and A. M. Abbosh, “Design of compact cross-fed three-dimensional slot-loaded antenna and its application in wideband head imaging system,” IEEE Antennas and Wireless Propagation Letters, vol. 15, pp. 1856 – 1860, 2016.
  • D. Ustun, and A. Akdagli, “Design of a dual-wideband monopole antenna by artificial bee colony algorithm for UMTS, WLAN, and WiMAX applications,” International Journal of Microwave and Wireless Technologies, vol. 9, no. 5, pp. 1197–1208, 2017.
  • J. M. Felicio, J. M. Bioucas-Dias, J. R. Costa, and C. A. Fernandes, “Antenna design and near-field characterization for medical microwave imaging applications,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 7, pp. 4811 – 4824, 2019.
  • A. Akdagli, C. Ozdemir, S. Yamacli, and C. C. Arcasoy. “Improved formulas for the resonant frequencies of dual frequency arrow shaped compact microstrip antenna,” Microwave and Optical Technology Letters, vol. 50, no. 1, pp. 62–65, 2008.
  • V. S. Chintakindi, S. S. Pattnaik, O. P. Bajpai, S. Devi, P. K. Patra, and K. M. Bakwad, “Resonant frequency of equilateral triangular microstrip patch antenna using particle swarm optimization technique,” 2008 International Conference on Recent Advances in Microwave Theory and Applications, 2008.
  • A. Toktas, M. B. Bicer, A. Akdagli, and A. Kayabasi, “Simple formulas for calculating resonant frequencies of C and H shaped compact microstrip antennas obtained by using artificial bee colony algorithm,” Journal of Electromagnetic Waves and Applications, vol. 25, no. 11-12, pp. 1718–1729, 2011.
  • M. Biswas, and M. Dam, “Closed-form model to determine the co-axial probe reactance of an equilateral triangular patch antenna,” International Journal of Microwave and Wireless Technologies, vol. 10, no. 7, pp. 801 – 813, 2018.
  • B. Sami, B. Siham, and F. Tarek, “Analysis of a circular microstrip antenna on isotropic or uniaxially anisotropic substrate using neurospectral approach,” COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 33, no. 1/2, pp. 567–580, 2014.
  • L. Barkat, S. Bedra, T. Fortaki, and R. Bedra, “Neurospectral computation for the resonant characteristics of microstrip patch antenna printed on uniaxially anisotropic substrates,” International Journal of Microwave and Wireless Technologies, vol. 9, no. 3, pp. 613-620, 2017.
  • A. Kayabasi, A. Toktas, A. Akdagli, M. B. Bicer, and D. Ustun, “Applications of ANN and ANFIS to predict the resonant frequency of L-shaped compact microstrip antennas,” Applied Computational Electromagnetics Society Journal, vol. 29, no. 6, 2014.
  • A. Kayabasi, M. B. Bicer, A. Akdagli, and A. Toktas, “Computing resonant frequency of H-shaped compact microstrip antennas operating at UHF band by using artificial neural networks,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 26, no. 4, 2011.
  • D. Ustun, A. Toktas, and A. Akdagli, “Deep neural network–based soft computing the resonant frequency of E–shaped patch antennas,” AEU - International Journal of Electronics and Communications, vol. 102, pp. s54-61, 2019.
  • M. Kaur, and J. S. Sivia, “Giuseppe Peano and Cantor set fractals based miniaturized hybrid fractal antenna for biomedical applications using artificial neural network and firefly algorithm,” International Journal of RF and Microwave Computer-Aided Engineering, vol. 30, no. 1, 2020.
  • K. Y. Kapusuz, H. Tora, and S. Can, “Neural network based estimation of resonant frequency of an equilateral triangular microstrip patch antenna,” Tehnicki Vjesnik, vol. 20, no. 6, pp. 955-960, 2013.
  • S. Can, K. Y. Kapusuz, and E. Aydin, “Neural network based resonant frequency solver for rectangular-shaped shorting pin-loaded antennas,” Microwave and Optical Technology Letters, vol. 55, no. 12, pp. 3025-3028, 2013.
  • J. Singh, G. Singh, S. Kaur, and B. S. Sohi, “Performance analysis of different neural network models for parameters estimation of coaxial fed 2.4 GHz E-shaped microstrip patch antenna,” 2015 2nd International Conference on Recent Advances in Engineering and Computational Sciences, 2015.
  • T. M. Neebha, and M. Nesasudha, “Artificial neural network based design of a microstrip patch antenna for RADAR applications,” Proceedings of the International Conference on Recent Advances in Aerospace Engineering, 2017.
  • D. Karaboga, and B. Basturk, “A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm,” Journal of Global Optimization, vol. 39, no. 3, pp. 459–471, 2007.
  • X. S. Yang, Engineering Optimization: An Introduction with Metaheuristic Applications. Wiley, 2010.
  • A. Kaveh, and T. Bakhshpoori, Metaheuristics: Outlines, MATLAB Codes and Examples. Springer, 2019.
  • P. K. Abbassi, N. M. Badra, A. M. M. A. Allam, and A. El-Rafei, “WiFi antenna design and modeling using artificial neural networks,” Proceedings of 2019 International Conference on Innovative Trends in Computer Engineering, 2019.
  • X. S. Yang, “Firefly algorithms for multimodal optimization,” Lecture Notes in Computer Science, 2009.
  • W. Zhao, Z. Zhang, L. Wang, “Manta ray foraging optimization: An effective bio-inspired optimizer for engineering applications,” Engineering Applications of Artificial Intelligence, vol. 87, pp. 103300, 2020.
  • Y. Li, X. Li, J. Liu, and X. Ruan, “An improved bat algorithm based on lévy flights and adjustment factors,” Symmetry, vol. 11, no. 7, pp. 925, 2019.
  • O. E. Turgut, “A novel chaotic manta-ray foraging optimization algorithm for thermo-economic design optimization of an air-fin cooler,” SN Applied Sciences, vol. 3, no. 1, pp. 3, 2021.
There are 42 citations in total.

Details

Primary Language English
Subjects Artificial Intelligence, Electrical Engineering
Journal Section Articles
Authors

Mustafa Berkan Biçer 0000-0003-3278-6071

Publication Date August 31, 2021
Submission Date March 25, 2021
Acceptance Date April 29, 2021
Published in Issue Year 2021

Cite

IEEE M. B. Biçer, “Analysis of C-shaped Compact Microstrip Antennas Using Deep Neural Networks Optimized by Manta Ray Foraging Optimization with Lévy-Flight Mechanism”, SAUCIS, vol. 4, no. 2, pp. 166–180, 2021, doi: 10.35377/saucis.04.02.903208.

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