NEURAL NETWORKS FOR THE CALCULATION OF BANDWIDTH OF RECTANGULAR MICROSTRIP ANTENNAS

Authors

  • S. Sinan Gultekin Selcuk University, Faculty of Engineering and Architecture, Department of Electric and Electronic Engineering, 42031, Konya, Turkey
  • Kerim Guney Erciyes University, Faculty of Engineering, Department of Electronic Engineering, 38039, Kayseri, Turkey
  • Seref Sagiroglu Erciyes University, Faculty of Engineering, Department of Computer Engineering, 38039, Kayseri, Turkey

Keywords:

NEURAL NETWORKS FOR THE CALCULATION OF BANDWIDTH OF RECTANGULAR MICROSTRIP ANTENNAS

Abstract

Neural models for calculating the bandwidth of electrically thin and thick rectangular microstrip antennas, based on the multilayered perceptrons and the radial basis function networks, are presented. Thirteen learning algorithms, the conjugate gradient of Fletcher-Reeves, Levenberg-Marquardt, scaled conjugate gradient, resilient backpropagation, conjugate gradient of Powell-Beale, conjugate gradient of Polak-Ribiére, bayesian regularization, one-step secant, backpropagation with adaptive learning rate, Broyden-Fletcher-Goldfarb-Shanno, backpropagation with momentum, directed random search and genetic algorithm, are used to train the multilayered perceptrons. The radial basis function network is trained by the extended delta-bar-delta algorithm. The bandwidth results obtained by using neural models are in very good agreement with the experimental results available in the literature. When the performances of neural models are compared with each other, the best results for training and test were obtained from the multilayered perceptrons trained by the conjugate gradient of Powell-Beale and Broyden-Fletcher-Goldfarb-Shanno algorithms, respectively.

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References

I. J. Bahl and P. Bhartia, Microstrip Antennas,

Artech House, Dedham, MA, 1980.

J. R. James, P. S. Hall and C. Wood, Microstrip

Antennas-Theory and Design, Peter Peregrisnus

Ltd., London, 1981.

G. Dubost, Flat Radiating Dipoles and

Applications to Arrays, Research Studies Press,

J. R. Mosig and F. E. Gardiol, “A Dynamic

Radiation Model for Microstrip Structures”, in

Advances in Electronics and Electron Physics,

Academic Press, New York, Vol. 59, pp.139-

, 1982.

R. E. Munson, “Microstrip Antennas,” in

Antenna Engineering Handbook, R.C. Johnson

(Editor), Mc Graw-Hill, New York, 1983.

D. M. Pozar, Antenna Design Using Personal

Computers, Artech House, Dedham, MA,

pp.121-126, 1985.

K. C. Gupta and A. Benalla (Editors),

Microstrip Antenna Design, Artech House, MA,

W. F. Richards, “Microstrip Antennas,” in

Antenna Handbook, Y.T. Lo and S.W. Lee

(Editors), Van Nostrand Reinhold, New York,

J. R. James and P. S. Hall, Handbook of

Microstrip Antennas, IEE Electromagnetic

Wave Series, Peter Peregrinus Ltd., London,

Vols. 1 and 2, No. 28, 1989.

Y. T. Lo, S. M. Wright and M. Davidovitz,

“Microstrip Antennas,” in Handbook of

Microwave and Optical Components, K. Chang

(Editor), John Wiley and Sons, New York, Vol.

, pp.764-889, 1989.

K. F. Lee and J. S. Dahele, “Characteristics of

Microstrip Patch Antenna and Some Methods of

Improving Frequency Agility and Bandwitdh,”

in Handbook of Microstrip Antennas, J.R. James

and P.S. Hall (Editors), IEE Electromagnetic

Wave Series, Peter Peregrinus Ltd., London,

Chapter 3, Vol. 1, No. 28, 1989.

P. Bhartia, K. V. S. Rao and R. S. Tomar

(Editors), Millimeter-Wave Microstrip and

Printed Circuit Antennas, Artech House,

Canton, MA, 1991.

K. Hirasawa and M. Haneishi, Analysis, Design,

and Measurement of Small and Low-Profile

Antennas, Artech House, Canton, MA, 1992.

D. M. Pozar and D. H. Schaubert (Editors),

Microstrip Antennas-The Analysis and Design of

Microstrip Antennas and Arrays, IEEE Press,

New York, 1995.

J. F. Zurcher and F. E. Gardiol, Broadband

Patch Antennas, Artech House, Norwood, MA,

R. A. Sainati, CAD of Microstrip Antennas for

Wireless Applications, Artech House, Boston,

K. F. Lee and W. Chen, Advances in Microstrip

and Printed Antennas, John Wiley and Sons,

R. Garg, P. Bhartia, I. J. Bahl and A. Ittipiboon,

Microstrip Antenna Design Handbook, Artech

House, Boston, 2001.

J. Vandensande, H. Pues and A. Van De

Capelle, “Calculation of the Bandwidth of

Microstrip Resonator Antennas,” in Proc. of 9 th

European Conference, Brighton, England,

pp.116-119, Sept. 1979.

A. G. Derneryd and A. G. Lind, “Extended

Analysis of Rectangular Microstrip Resonator

Antenna,” IEEE Trans. Ant. Propagat., pp.846-

, 1979.

K.R. Carver and J.W. Mink, “Microstrip Antenna

Technology”, IEEE Trans. Ant. Propagat., Vol.

AP-29, pp. 2-24, 1981.

W. F. Richards, Y. T. Lo and D. D. Harrison, “An

Improved Theory for Microstrip Antennas and

Applications,” IEEE Trans. Ant. Propagat., Vol.

AP-29, pp. 38-46, Jan. 1981.

D. M. Pozar, “Considerations for Millimeter Wave

Printed Antennas,” IEEE Trans. Ant. Propagat.,

Vol. AP-31, pp.740-747, Sept. 1983.

G. Kumar and K. C. Gupta, “Broadband

Microstrip Antennas Using Additional Resonators

Gap Coupled to the Radiating Edges,” IEEE

Trans. Ant. Propagat., Vol. AP-32, pp.1375-1379,

Dec. 1984.

H. F. Pues and A. R. Van De Capelle, “Accurate

Transmission-Line Model fort the Rectangular

Microstrip Antennas,” IEE Proc. Pt. H., Vol. 13,

No. 6, pp.334-340, 1984.

P. Perlmutter, S. Shtrikman, and D. Treves,

“Electric Surface Current Model for the Analysis

of Microstrip Antennas with Application to

Rectangular Elements,” IEEE Trans. Ant.

Propagat., Vol. AP-33, pp.301-311, March 1985.

K. Bhattacharyya and R. Garg, “Effect of

Substrate on the Efficiency of an Arbitrarily

Shaped Microstrip Patch Antenna,” IEEE Trans.

Ant. Propagat., Vol. AP-34, pp.1181-1188, 1986.

E. Chang, S.A. Long and W. F. Richards, “An

Experimental Investigation of Electrically Thick

Rectangular Microstrip Antennas,” IEEE Trans.

Ant. Propagat., Vol. AP-34, pp.767-772, 1986.

D. M. Pozar and S. M. Voda, “A Rigorous

Analysis of a Microstrip Line Fed Patch Antenna,”

IEEE Trans. Ant. Propagat., Vol. AP-35, pp.1343-

, 1987.

H. F. Pues and A. R. Van De Capelle, “An

Impedance Matching Technique for Increasing the

Bandwidth of Microstrip Antennas,” IEEE Trans.

Ant. Propagat., Vol. AP-37, pp.1345-1354, Nov.

D. R. Jackson and N. G. Alexopoulos, “Simple

Approximate Formulas for Input Resistance,

Bandwidth, and Efficiency of a Resonant

Rectangular Patch,” IEEE Trans. Ant.

Propagat., Vol. 39, pp.407-410, 1991.

K. Guney, “Bandwidth of a Resonant

Rectangular Microstrip Antenna,” Microwave

and Optical Technology Letters, Vol. 7, pp.521-

, 1994.

M. Kara, “A Novel Technique to Calculate the

Bandwidth of Rectangular Microstrip Antenna

Elements with Thick Substrates,” Microwave

and Optical Technology Letters, Vol. 12, pp.59-

, 1996.

M. Kara, “A Simple Technique for the

Calculation of Bandwidth of Rectangular

Microstrip Antenna Elements with Various

Substrate Thicknesses,” Microwave and Optical

Technology Letters, Vol. 12, pp.16-20, 1996.

S. Sagiroglu, K. Guney and M. Erler,

“Calculation of Bandwidth for Electrically Thin

and Thick Rectangular Microstrip Antennas

With The Use of Multilayered Perceptrons,”

International Journal of RF and Microwave

Computer-Aided Engineering, Vol. 9, pp.277-

, 1999.

A. Kaplan, K. Guney and S. Özer, “Fuzzy

Associative Memories for the Computation of

the Bandwidth of Rectangular Microstrip

Antennas with Thin and Thick Substrates,”

International Journal of Electronics (IJE), Vol.

, pp.189-195, 2001.

Q. J. Zhang and K. C. Gupta, Neural Networks

for RF and Microwave Design, Artech House,

Boston, MA, 2000.

C. G. Christodoulou and M. Georgiopoulos,

Application of Neural Networks in

Electromagnetics, Artech House, MA, 2001.

A. C. Maren, C. Harston and R. Pap, Handbook

of Neural Computing Applications, Academic

Press, London, 1990.

S. Haykin, Neural Networks: A Comprehensive

Foundation, Macmillan College Publishing

Company, New York, 1994.

S. Sagiroglu and K. Guney, “Calculation of

Resonant Frequency for an Equilateral

Triangular Microstrip Antenna Using Artificial

Neural Networks,” Microwave and Optical

Technology Letters, Vol.14, No.2, pp.89-93,

D. Karaboga, K. Guney, S. Sagiroglu and M.

Erler, “Neural Computation of Resonant

Frequency of Electrically Thin and Thick

Rectangular Microstrip Antennas,” IEE Proc.

Microw. Antennas Propag., Vol. 146, No. 2,

pp.155-159, April 1999.

S. Sagiroglu, K. Guney and M. Erler, “Neural

Computation of Mutual Coupling Coefficient of

Electrically Thin and Thick Rectangular

Microstrip Antennas,” Proc. of International

Conference on Neural Network and Brain

(NN&B’98), Beijing, China, pp.223-226, Oct.

S. Sagiroglu, K. Guney and M. Erler, “Resonant

Frequency Calculation for Circular Microstrip

Antennas Using Artificial Neural Networks,”

International Journal of RF and Microwave

Computer-Aided Engineering, Vol. 8, pp.270-

, 1998.

K. Guney, M. Erler and S. Sagiroglu, “Neural

Computation of Mutual Coupling Coefficient

Between Two Rectangular Microstrip Antennas

With Various Substrate Thicknesses,” Proc. of

PIERS'98, Nantes, France, p. 57, July 13-17,

K. Guney, M. Erler and S. Sagiroglu, “Artificial

Neural Networks for the Resonant Resistance

Calculation of Electrically Thin and Thick

Rectangular Microstrip Antennas,”

Electromagnetics, Vol. 20, pp.387-400, 2000.

K. Guney, S. Sagiroglu and M. Erler,

“Comparison of Neural Networks for Resonant

Frequency Computation of Electrically Thin and

Thick Rectangular Microstrip Antennas,”

Journal of Electromagnetic Waves and

Applications (JEWA), Vol. 15, pp.1121-1145,

K. Guney, S. Sagiroglu and M. Erler,

“Generalized Neural Method to Determine

Resonant Frequencies of Various Microstrip

Antennas,” International Journal of RF and

Microwave Computer-Aided Engineering, Vol.

, pp.131-139, 2002.

D. E. Rumelhart and J. L. McClelland, Parallel

Distributed Processing. Vol.1, The MIT Press,

Cambridge, 1986.

R. A. Jacobs, “Increased Rate of Convergence

Through Learning Rate Adaptation,” Neural

Networks, Vol. 1, pp.295-307, 1988.

S. E. Fahlman, “Fast Learning Variations on

Back Propagation: An Empirical Study,” In D.S.

Touretzky, G.E. Hinton and T.J. Sejnowski

(Editors), Proc. of the 1988 Connectionist

Models Summer School, San Mateo, CA,

Morgan Kaufmann, pp. 38-51, 1988.

A. A. Minai and R. D. Williams, “Acceleration

of Backpropagation Through Learning Rate and

ACES JOURNAL, VOL. 18, NO. 2, JULY 2003, SI: NEURAL NETWORK APPLICATIONS IN ELECTROMAGNETICS

Momentum Adaptation,” Int. Joint Conf. on

Neural Networks, Vol. 1, pp.676-679, 1990.

R. Fletcher and C. M. Reeves, “Function

Minimization by Conjugate Gradients,”

Computer Journal, Vol. 7, pp.149-154, 1964.

K. Levenberg, “A Method for the Solution of

Certain Nonlinear Problems in Least Squares,”

Quart. Appl. Math., Vol. 2, pp.164-168, 1944.

D. W. Marquardt, “An Algorithm for Least-

Squares Estimation of Nonlinear Parameters,” J.

Soc. Ind. Appl. Math., Vol. 11, pp.431-441,

M. F. Moller, “A Scaled Conjugate Gradient

Algorithm for Fast Supervised Learning,”

Neural Networks, Vol. 6, pp.525-533, 1993.

M. Riedmiller and H. Braun, “A Direct Adaptive

Method for Faster Backpropagation Learning:

the RPROP Algorithm,” Proc. of the IEEE

International Conference on Neural Networks,

San Francisco, CA, March, Vol. 1, pp.586-591,

J. E. Dennis and R. B. Schnabel, Numerical

Methods for Unconstrained Optimization and

Nonlinear Equations, Englewood Cliffs, NJ:

Prentice-Hall, 1983.

M. J. D. Powell, “Restart Procedures for the

Conjugate Gradient Method,” Mathematical

Programming, Vol. 12, pp.241-254, 1977.

E. M. L. Beale, A Derivation of Conjugate

Gradients, Numerical Methods for Nonlinear

Optimization, London, Academic Press, 1972.

M. T. Hagan, H. B. Demuth and M. Beale,

Neural Network Design, Boston PWS

Publishing Company, 1996.

D. J. C. MacKay, “Bayesian Interpolation,”

Neural Computation, Vol. 4, pp.415-447, 1992.

R. Battiti, “First and Second Order Methods for

Learning: Between Steepest Descent and

Newton’s Method,” Neural Computation, Vol.

, pp.141-166, 1992.

J. Matyas, “Random Optimization,” Automation

and Remote Control, Vol. 26, pp.246-253, 1965.

J. H. Holland, Adaptation in Natural and

Artificial Systems, The University of Michigan

Press, Ann Arbor, MI, 1975.

L. Davis, Handbook of Genetic Algorithms,

(Eds.), Van Nostrand Reinhold, NY, 1991.

S. Ozer, K. Guney and A. Kaplan, “Computation

of the Resonant Frequency of Electrically Thin

and Thick Rectangular Microstrip Antennas

with the Use of Fuzzy Inference Systems,”

International Journal of RF and Microwave

Computer-Aided Engineering, Vol. 10, pp.108-

, 2000.

D. Karaboga, K. Guney, A. Kaplan and A.

Akdaglı, “A New Effective Side Length

Expression Obtained Using a Modified Tabu

Search Algorithm for the Resonant Frequency of

a Triangular Microstrip Antenna,” International

Journal of RF and Microwave Computer-Aided

Engineering, Vol. 8, pp.4-10, 1998.

F. Glover, “Tabu Search Part I,” ORSA Journal

on Computing, Vol. 1, pp.190-206, 1989.

F. Glover, “Tabu Search Part II,” ORSA Journal

on Computing, Vol. 2, pp.4-32, 1990.

Neural Computing, A Technology Handbook for

Professional II/PLUS and NeuralWorks

Explorer, NeuralWare, Inc., Technical

Publications Group, Pittsburgh, 1996.

D. S. Broomhead and D. Lowe, “Multivariable

Functional Interpolation and Adaptive

Networks,” Complex Systems, Vol. 2, pp.321-

, 1988.

J. Moody and C. Darken, “Fast-Learning in

Networks of Locally-Tuned Processing Units,”

Neural Computation, Vol. 1, pp.281-294, 1989.

S. Chen, C. F. N. Cowan and P. M. Grant,

“Orthogonal Least Squares Learning Algorithm

for Radial Basis Function Networks,” IEEE

Trans. on Neural Networks, Vol. 4, pp.302-309,

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Published

2022-06-18

How to Cite

[1]
S. S. . Gultekin, K. . Guney, and S. . Sagiroglu, “NEURAL NETWORKS FOR THE CALCULATION OF BANDWIDTH OF RECTANGULAR MICROSTRIP ANTENNAS”, ACES Journal, vol. 18, no. 2, pp. 46–56, Jun. 2022.

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