Uniform sampling in constrained domains for low-cost surrogate modeling of antenna input characteristics
Abstract
In this letter, a design of experiments technique that permits uniform sampling in constrained domains is proposed. The discussed method is applied to generate training data for construction of fast replacement models (surrogates) of antenna input characteristics. The modeling process is design-oriented with the surrogate domain spanned by a set of reference designs optimized with respect to the performance figures and/or operating conditions that are of interest. The reference designs are triangulated and the resulting simplexes are extended in orthogonal directions. Our methodology is demonstrated using two examples: a dual-band dipole and an ultra-wideband monopole. The results indicate that the proposed sampling technique leads to considerable improvement of the surrogate model predictive power as compared to random sampling. Numerical results are supported by application studies (antenna optimization) and experimental validation.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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IEEE Antennas and Wireless Propagation Letters
no. 17,
pages 164 - 167,
ISSN: 1536-1225 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Kozieł S., Sigurdsson A., Szczepański S.: Uniform sampling in constrained domains for low-cost surrogate modeling of antenna input characteristics// IEEE Antennas and Wireless Propagation Letters. -Vol. 17, nr. 1 (2018), s.164-167
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/lawp.2017.2778712
- Bibliography: test
-
- J. Nocedal and S. Wright, Numerical Optimization, 2 nd edition, Springer, New York, 2006. open in new tab
- M. Fernandez Pantoja, A. Rubio Bretones, and R. Gomez Martin, "Benchmark antenna problems for evolutionary optimization algorithms," IEEE Trans. Ant. Prop., vol. 55, no. 4, pp. 1111-1121, 2007. open in new tab
- J.S. Ochoa, and A.C. Cangellaris, "Random-space dimensionality reduction for expedient yield estimation of passive microwave structures," IEEE Trans. Microwave Theory Techn., vol. 61, no. 12, pp. 4313-4321, Dec. 2013. open in new tab
- S. Koziel and J.W. Bandler, "Rapid yield estimation and optimization of microwave structures exploiting feature-based statistical analysis," IEEE Trans. Microwave Theory Tech., vol. 63, no., 1, pp. 107-114, 2015. open in new tab
- H.L. Abdel-Malek, A.S.O. Hassan, E.A. Soliman, S.A. Dakroury, "The ellipsoidal technique for design centering of microwave circuits exploiting space-mapping interpolating surrogates," IEEE Trans. Microwave Theory Techn., vol. 54, no. 10, pp. 3731-3738, Oct. 2006. open in new tab
- T.W. Simpson, J.D. Pelplinski, P.N. Koch, and J.K. Allen, "Metamodels for computer-based engineering design: survey and recommendations", Engineering with Computers, vol. 17, pp. 129-150, 2001. open in new tab
- J.W. Bandler, N. Georgieva, M.A. Ismail, J.E. Rayas-Sánchez, and Q. J. Zhang, "A generalized space mapping tableau approach to device modeling," IEEE Trans. Microwave Theory Tech., vol. 49, no. 1, pp. 67-79, Jan. 2001. open in new tab
- J.L. Chavez-Hurtado, and J.E. Rayas-Sanchez, "Polynomial-based surrogate modeling of RF and microwave circuits in frequency domain exploiting the multinomial theorem," IEEE Trans. Microwave Theory Tech., vol. 64, no. 12, pp. 4371-4381, 2016. open in new tab
- I. Couckuyt, "Forward and inverse surrogate modeling of computationally expensive problems," Ph.D. Thesis, Ghent University, 2013.
- N.V. Queipo, R.T. Haftka, W. Shyy, T. Goel, R. Vaidynathan, and P.K. Tucker, "Surrogate-based analysis and optimization," Progress in Aerospace Sciences, vol. 41, no. 1, pp. 1-28, Jan. 2005. open in new tab
- H. Kabir, Y. Wang, M. Yu, and Q.J. Zhang, "Neural network inverse modeling and applications to microwave filter design," IEEE Trans. Microwave Theory Tech., vol. 56, no. 4, , pp. 867-879, April 2008. open in new tab
- J. P. Jacobs and J. P. De Villiers, "Gaussian-process-regression-based design of ultrawide-band and dual-band CPW-fed slot antennas," Journal of Electromagnetic Waves and Appl., vol. 24, pp. 1763-1772, 2010. open in new tab
- G. Angiulli, M. Cacciola and M. Versaci, "Microwave devices and antennas modelling by support vector regression machines," IEEE Trans. Magnetics, vol. 43, pp. 1589-1592, 2007. open in new tab
- S. Koziel and A. Bekasiewicz, "Computationally feasible narrow-band antenna modeling using response features," Int. J. RF & Microwave CAE, vol. 27, no. 4, 2017. open in new tab
- S. Koziel and L. Leifsson, "Generalized shape-preserving response prediction for accurate modeling of microwave structures," IET Microwaves, Ant. Prop., vol. 6, No. 12, pp. 1332-1339, 2012. open in new tab
- S. Koziel, "Low-cost data-driven surrogate modeling of antenna structures by constrained sampling," IEEE Ant. Wireless Prop. Lett., vol. 16, pp. 461-464, 2017. open in new tab
- S. Koziel, A. Bekasiewicz, "On reduced-cost design-oriented constrained surrogate modeling of antenna structures," IEEE Ant. Wireless Prop. Lett., vol. 16, pp. 1618-1621, 2017. open in new tab
- H. Borouchaki, P.L. George, and S.H. Lo, "Optimal Delaunay point insertion," Int. J. Numerical Methods in Eng., vol. 39, no. 20, pp. 3407- 3437, 1996. open in new tab
- Y.-C. Chen, S.-Y. Chen, and P. Hsu, "Dual-band slot dipole antenna fed by a coplanar waveguide," IEEE Int. Symp. Ant. Prop., pp. 3589-3592, 2006. |S 11 | [dB]
- Verified by:
- Gdańsk University of Technology
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