2019-02-12
Multiple-Constraint Synthesis of Rotationally Symmetric Sparse Circular Arrays Using a Hybrid Algorithm
By
Progress In Electromagnetics Research M, Vol. 79, 33-40, 2019
Abstract
Rotationally symmetric sparse circular arrays are synthesized under multiple constraints. By combining the modified differential evolution algorithm based on the harmony search (in short HSDE) with the vector mapping (VM) method, a hybrid algorithm, called VM-HSDE, is proposed for synthesizing sparse circular arrays with low sidelobe levels. Due to the array's specific geometry, the number of optimization variables is reduced, and the constrained optimization problem is simplified. Moreover, infeasible solutions are avoided, and the problem is effectively solved by the VM-HSDE algorithm. Finally, three pattern optimization results verify the effectiveness and reliability of the VM-HSDE algorithm.
Citation
Ruiqi Wang, and Yong-Chang Jiao, "Multiple-Constraint Synthesis of Rotationally Symmetric Sparse Circular Arrays Using a Hybrid Algorithm," Progress In Electromagnetics Research M, Vol. 79, 33-40, 2019.
doi:10.2528/PIERM18121002
References

1. Haupt, R., "Optimized element spacing for low sidelobe concentric ring arrays," IEEE Trans. Antennas Propag., Vol. 56, No. 1, 266-268, 2008.
doi:10.1109/TAP.2007.913176        Google Scholar

2. Jiang, Y. and S. Zhang, "An innovative strategy for synthesis of uniformly weighted circular aperture antenna array based on the weighting density method," IEEE Antennas Wireless Propag. Lett., Vol. 12, 725-728, 2013.
doi:10.1109/LAWP.2013.2264833        Google Scholar

3. Jiang, Y., S. Zhang, Q. Guo, and M. Li, "Synthesis of uniformly excited concentric ring arrays using the improved integer GA," IEEE Antennas Wireless Propag. Lett., Vol. 15, 1124-1127, 2016.
doi:10.1109/LAWP.2015.2496173        Google Scholar

4. Zhao, X., Q. Yang, and Y. Zhang, "A hybrid method for the optimal synthesis of 3-D patterns of sparse concentric ring arrays," IEEE Trans. Antennas Propag., Vol. 64, No. 2, 515-524, 2016.
doi:10.1109/TAP.2015.2504377        Google Scholar

5. Carlin, M., G. Oliveri, and A. Massa, "Hybrid BCS-deterministic approach for sparse concentric ring isophoric arrays," IEEE Trans. Antennas Propag., Vol. 63, No. 1, 378-383, 2015.
doi:10.1109/TAP.2014.2364306        Google Scholar

6. Ram, G., D. Mandal, R. Kar, and S. P. Ghoshal, "Cat swarm optimization as applied to time-modulated concentric circular antenna array: Analysis and comparison with other stochastic optimization methods," IEEE Trans. Antennas Propag., Vol. 63, No. 9, 4180-4183, 2015.
doi:10.1109/TAP.2015.2444439        Google Scholar

7. Chen, K., H. Chen, L. Wang, and H. Wu, "Modified real GA for the synthesis of sparse planar circular arrays," IEEE Antennas Wireless Propag. Lett., Vol. 15, 274-277, 2016.
doi:10.1109/LAWP.2015.2440432        Google Scholar

8. Spence, T. G. and D. H. Werner, "Design of broadband planar arrays based on the optimization of aperiodic tilings," IEEE Trans. Antennas Propag., Vol. 56, No. 1, 76-86, 2008.
doi:10.1109/TAP.2007.913145        Google Scholar

9. Alvarez-Folgueiras, M., J. Rodriguez-Gonzalez, and F. Ares-Pena, "High-performance uniformly excited linear and planar arrays based on linear semiarrays composed of subarrays with different uniform spacings," IEEE Trans. Antennas Propag., Vol. 57, No. 12, 4002-4006, 2009.
doi:10.1109/TAP.2009.2026497        Google Scholar

10. Bianchi, D., S. Genovesi, and A. Monorchio, "Constrained Pareto optimization of wide band and steerable concentric ring arrays," IEEE Trans. Antennas Propag., Vol. 60, No. 7, 3195-3204, 2012.
doi:10.1109/TAP.2012.2196909        Google Scholar

11. Gregory, M. D., F. A. Namin, and D. H. Werner, "Exploiting rotational symmetry for the design of ultra-wideband planar phased array layouts," IEEE Trans. Antennas Propag., Vol. 61, No. 1, 176-184, 2013.
doi:10.1109/TAP.2012.2220107        Google Scholar

12. El-makadema, A., L. Rashid, and A. K. Brown, "Geometry design optimization of large scale broadband aperture array systems," IEEE Trans. Antennas Propag., Vol. 62, No. 4, 1673-1680, 2014.
doi:10.1109/TAP.2013.2272571        Google Scholar

13. Clavier, T., et al. "A global-local synthesis approach for large non-regular arrays," IEEE Trans. Antennas Propag., Vol. 62, No. 4, 1596-1606, 2014.
doi:10.1109/TAP.2013.2284816        Google Scholar

14. Lin, Z.-Q., W.-M. Jia, M.-L. Yao, and L.-Y. Hao, "Synthesis of sparse linear arrays using vector mapping and simultaneous perturbation stochastic approximation," IEEE Antennas Wireless Propag. Lett., Vol. 11, 220-223, 2012.        Google Scholar

15. Liu, H., H. Zhao, W. Li, and B. Liu, "Synthesis of sparse planar arrays using matrix mapping and differential evolution," IEEE Antennas Wireless Propag. Lett., Vol. 15, 1905-1908, 2016.
doi:10.1109/LAWP.2016.2542882        Google Scholar

16. Wang, X.-K., Y.-C. Jiao, Y. Liu, and Y. Y. Tan, "Synthesis of large planar thinned arrays using IWO-IFT algorithm," Progress In Electromagnetics Research, Vol. 136, 29-42, 2013.        Google Scholar

17. Elsaidy, E. I., M. I. Dessouky, S. Khamis, and Y. A. Albagory, "Concentric circular antenna array synthesis using comprehensive learning particle swarm optimizer," Progress In Electromagnetics Research Letters, Vol. 29, 1-13, 2012.
doi:10.2528/PIERL11112506        Google Scholar

18. Zhang, F., W. Jia, and M. Yao, "Linear aperiodic array synthesis using differential evolution algorithm," IEEE Antennas Wireless Propag. Lett., Vol. 12, 797-800, 2013.
doi:10.1109/LAWP.2013.2270930        Google Scholar

19. Singh, U. and M. Rattan, "Design of thinned concentric circular antenna arrays using firefly algorithm," IET Microw. Antennas Propag., Vol. 8, 894-900, 2014.
doi:10.1049/iet-map.2013.0695        Google Scholar

20. Cao, A., H. Li, S. Ma, J. Tan, and J. Zhou, "Sparse circular array pattern optimization based on MOPSO and convex optimization," 2015 Asia-Pacific Microwave Conference (APMC), Vol. 2, 1-3, 2015.        Google Scholar

21. Sun, G., Y. Liu, Z. Chen, S. Liang, A. Wang, and Y. Zhang, "Radiation beam pattern synthesis of concentric circular antenna arrays using hybrid approach based on cuckoo search," IEEE Trans. Antennas Propag., Vol. 66, No. 9, 4563-4576, 2018.
doi:10.1109/TAP.2018.2846771        Google Scholar

22. Zhao, X., Y. Jin, H. Ji, J. Geng, X. Liang, and R. Jin, "An improved mixed-integer multi-objective particle swarm optimization and its application in antenna array design," 2013 5th IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications (MAPE), 412-415, 2013.
doi:10.1109/MAPE.2013.6689835        Google Scholar