Modified Differential Evolution Algorithm for Time-Modulated Linear Array Antenna
Keywords:
Crossover rate, differential evolution (DE) algorithm, mutation strategy, time-modulated array (TMA)Abstract
A modified differential evolution (MDE) algorithm based on a novel mutation strategy and adaptive adjustment strategy of parameter crossover rate (CR) is proposed to improve the population diversity and to avoid frapping in local optima. Also the simplified quadratic interpolation is employed to accelerate the convergence rate. Benchmark functions have been provided to verify the MDE algorithm. Compared with other improved evolutionary algorithms, experiment results reveal that the MDE has a promising performance in the convergence rate and the exploration ability. Finally, the proposed algorithm is proved to realize accelerating the optimization of time-modulated arrays (TMA).
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References
R. Storn and K. Price, “Differential evolution: A simple and efficient adaptive scheme for global optimization over continuous spaces,” [R] ICIS, Tech. Rep., TR-95-012, 1995.
R. Storn and K. Price, “Differential evolution – A simple and efficient heuristic for global optimization over continuous spaces,” [J] Journal of Global Optimization, vol. 11, no. 4, pp. 341-359, 1997.
K. Price, R. Storn, and J. A. Lampinen, Differential Evolution - A Practical Approach to Global Optimization. [M] Springer-Verlag New York Incorporated, 2005.
U. K. Chakraborty, Advances in Differential Evolu1166 ACES JOURNAL, Vol. 35, No. 10, October 2020 tion. [M] Springer-Verlag New York Incorporated, 2008.
A. Qing, Differential Evolution: Fundamentals and Applications in Electrical Engineering. [M] WileyIEEE Press, 2009.
L. Zhang, Y.-C. Jiao, H. Li, and F.-S. Zhang, “Hybrid differential evolution and the simplified quadratic interpolation for global optimization,” [C] Proceeding of the 2009 World Summit on Genetic and Evolutionary Computation, ACM/SIGEVO, Shanghai, China, pp. 1049-1052, June 2009.
J. Liu and J. Lampinen, “A fuzzy adaptive differential evolution algorithm,” [C] Proceedings of IEEE TENCON, 2002.
J. Brest, S. Greiner, B. Boskovic, M. Mernik, and V. Zumer, “Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems,” IEEE Trans. Evol. Comput., vol. 10, pp. 646-657, 2006.
A. K. Qin and P. N. Suganthan, “Self-adaptive differential evolution algorithm for numerical optimization,” [J] The IEEE Congress on Evolutionary Computation, vol. 2, pp. 1785-1791, 2005.
J. Fondevila, J. C. Brégains, F. Ares, and E. Moreno, “Optimizing uniformly excited linear arrays through time modulation,” [J] IEEE Antennas Wireless Propag. Lett., vol. 3, pp. 298-301, Dec. 2004.
S. Yang, Y. B. Gan, A. Y. Qing, and P. K. Tan, “Design of a uniform amplitude time modulated linear array with optimized time sequences,” IEEE Trans. Antennas Propag., vol. 53, no. 7, pp. 2337- 2339, July 2005.
R. Maneiro-Catoira, J. Brégains, J. A. GarcíaNaya, and L. Castedo, “Time-modulated phased array controlled with nonideal bipolar squared periodic sequences,” in IEEE Antennas and Wireless Propagation Letters, vol. 18, no. 2, pp. 407-411, Feb. 2019.
Q. Chen, J. Zhang, W. Wu, and D. Fang, “Enhanced single-sideband time-modulated phased array with lower sideband level and loss,” in IEEE Transactions on Antennas and Propagation, vol. 68, no. 1, pp. 275-286, Jan. 2020.
I. Kanbaz, U. Yesilyurt, and E. Aksoy, “A study on harmonic power calculation for nonuniform period linear time modulated arrays,” in IEEE Antennas and Wireless Propagation Letters, vol. 17, no. 12, pp. 2369-2373, Dec. 2018.
W. Wang, H. C. So, and A. Farina, “An overview on time/frequency modulated array processing,” in IEEE Journal of Selected Topics in Signal Processing, vol. 11, no. 2, pp. 228-246, Mar. 2017.
K. Wan, W. Wang, H. Chen, and S. Zhang, “Spacetime modulated wideband array antenna,” in IEEE Antennas and Wireless Propagation Letters, vol. 18, no. 6, pp. 1081-1085, June 2019.
Z. J. Jiang, S. Zhao, Y. Chen, and T. J. Cui, “Beamforming optimization for time-modulated circular-aperture grid array with DE algorithm,” in IEEE Antennas and Wireless Propagation Letters, vol. 17, no. 12, pp. 2434-2438, Dec. 2018.
M. H. Mazaheri, M. Fakharzadeh, M. Akbari, and S. Safavi-Naeini, “A figure of merit in a timemodulated array,” in IEEE Antennas and Wireless Propagation Letters, vol. 18, no. 10, pp. 2086- 2089, Oct. 2019.
R. Maneiro-Catoira, J. Brégains, J. A. GarcíaNaya, and L. Castedo, “Analog beamforming using time-modulated arrays with digitally preprocessed rectangular sequences,” in IEEE Antennas and Wireless Propagation Letters, vol. 17, no. 3, pp. 497-500, Mar. 2018.
A. Reyna, L. I. Balderas, and M. A. Panduro, “Time-modulated antenna arrays for circularly polarized shaped beam patterns,” in IEEE Antennas and Wireless Propagation Letters, vol. 16, pp. 1537-1540, 2017.