Mutual Coupling Compensation-based Nonuniform Fourier Transform Technique for Accurate and Efficient Pattern Evaluation and its Application to Synthesis of Aperiodic Arrays

作者

  • Fan Peng Institute of Electromagnetics Southwest Jiaotong University, Chengdu, 610031, China https://orcid.org/0000-0001-5125-384X
  • Cheng Liao Institute of Electromagnetics Southwest Jiaotong University, Chengdu, 610031, China
  • You-Feng Cheng Institute of Electromagnetics Southwest Jiaotong University, Chengdu, 610031, China
  • Ju Feng Institute of Electromagnetics Southwest Jiaotong University, Chengdu, 610031, China
  • Si-Du Wang Mianyang Flight College of Civil Aviation Flight University of China, Mianyang, 621000, China

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https://doi.org/10.13052/2023.ACES.J.380602

关键词:

aperiodic array, mutual coupling compensation, Non-uniform fast Fourier transform, Radiation pattern calculation and synthesis

摘要

A rapid solution for evaluating the radiation pattern of aperiodic arrays, taking into account mutual coupling, is presented in this paper. The evaluation is achieved by eliminating the anisotropy of the active element pattern of the array through the use of the mutual coupling compensation matrix (MCCM) technique, in conjunction with the non-uniform fast Fourier transform (NuFFT). In order to eliminate the impact of mutual coupling on array pattern calculation, the MCCM is utilized to convert the active element pattern (AEP) of each element into a shared uniform term and make the NuFFT technique suitable for the array pattern calculation. The proposed solution is validated by evaluating the radiation pattern of a 64-element planar aperiodic array. In addition, the proposed solution is integrated into the Particle Swarm Optimization (PSO) to realize a pattern synthesis method. Two synthesized patterns, including a pencil beam with low sidelobe level and a flat-top beam pattern, are executed to validate. Compared with several reported methods, the proposed method can improve the synthesis efficiency and maintain good accuracy simultaneously.

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Fan Peng received his Bachelor’s degree in applied physics from the Chengdu University of Information and Technology (CUIT), Chengdu, China. In 2016, he entered Southwest Jiaotong University to study for Ph.D. degree in electromagnetic field and electromagnetic waves. His current research includes wide beam antenna, phased array and array synthesis.

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Cheng Liao received his Ph.D. degree in electromagnetic fields and microwave technology from the University of Electronic Science and Technology of China, Chengdu, China, in 1995.

From 1997 to 1998, he was a Visiting Scholar with the City University of Hong Kong, Kowloon Tong, Hong Kong. In 1998, he became a Professor with Southwest Jiaotong University, Chengdu. His research interests include computational electromagnetics, electromagnetic compatibility, and antenna theory and technology.

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You Feng Cheng was born in Anqing, Anhui, China, in 1989. He received his Ph.D. degree in radio physics from the University of Electronic Science and Technology of China (UESTC), Chengdu, China, in 2018.

In 2017, he joined the Mechanical Engineering Department, University of Houston, Houston, TX. USA, as a Visiting Scholar. In 2018, he joined Southwest Jiaotong University (SWJTU), Chengdu. His current research interests include phased arrays, reconfigurable antennas, and evolutionary algorithms.

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Ju Feng received her Ph.D. degree in electromagnetic field and microwave technology from Southwest Jiaotong University, Chengdu, China, in 2014.

She is currently an Associate Professor at the Institute of Electromagnetic Field and Microwave Technology, Southwest Jiaotong University. Her major research interests include antenna theory and design, computational electromagnetics, and electromagnetic wave propagation.

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Sidu Wang received his Bachelor’s scholar degree in electronic and information engineering from the Chengdu University of Information and Technology (CUIT), Chengdu, China. In 2015, he worked at the Civil Aviation Flight Univerity of China (CAFUC), Guanghan, China. His current research includes signal communication, navigation, radar, and aviation safety management.

参考

G. Toso and R. Mailloux, “Guest editorial for the special issue on innovative phased array antennas based on non-regular lattices and overlapped subarrays,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 4, pp. 1546-1548, 2014.

Y.-F. Cheng, W. Shao, S.-J. Zhang, and Y.-P. Li, “An improved multi-objective genetic algorithm for large planar array thinning,” IEEE Transactions on Magnetics, vol. 52, no. 3, pp. 1-4, 2016.

K. Yang, Z. Q. Zhao, and Q. H. Liu, “Fast pencil beam pattern synthesis of large unequally spaced antenna arrays,” IEEE Transactions on Antennas and Propagation, vol. 61, no. 2, pp. 627-634,2013.

P. F. You, Y. H. Liu, X. Huang, L. Zhang, and Q. H. Liu, “Efficient phase-only linear array synthesis including coupling effect by GA-FFT based on least-square active element pattern expansion method,” Electronics Letters, vol. 51, no. 10, pp. 791-792, 2015.

Y. H. Liu, X. Huang, K. D. Xu, Z. Y. Song, S. W. Yang, and Q. H. Liu “Pattern synthesis of unequally spaced linear arrays including mutual coupling using iterative FFT via virtual active element pattern expansion,” IEEE Transactions on Antennas and Propagation, vol. 65, no. 8, pp. 3950-3958, 2017.

D. R. Prado, M. Arrebola, M. R. Pino, and F. Las-Heras, “An efficient calculation of the far field radiated by non-uniformly sampled planar fields complying Nyquist theorem,” IEEE Transactions on Antennas and Propagation, vol. 63, no. 2, pp. 862-865, 2015.

O. Bucci and M. Migliore, “A novel nonuniform fast Fourier transform algorithm and its application to aperiodic arrays,” IEEE Antennas and Wireless Propagation Letters, vol. 16, pp. 1472-1475,2017.

A. Capozzoli, C. Curcio, and A. Liseno, “Optimized nonuniform FFTs and their application to array factor computation,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 6, pp. 3924-3938, 2019.

F. Yang, S. W. Yang, W. J. Long, Y. K. Chen, S. W. Qu, and J. Hu, “A novel 3D-NUFFT method for the efficient calculation of the array factor of conformal arrays,” IEEE Transactions on Antennas and Propagation, vol. 69, no. 10, pp. 7047-7052, 2021.

Q. H. Liu and N. Nguyen, “An accurate algorithm for nonuniform fast Fourier transforms (NUFFT’s),” IEEE Microwave and Guided Wave Letters, vol. 8, no. 1, pp. 18-20, 1998.

J. W. Cooley and J. W. Tukey, “An algorithm for the machine calculation of complex Fourier series,” Mathematics of Computation, vol. 19, no. 90, pp. 297-301, 1965.

W. P. M. N. Keizer, “Fast low-sidelobe synthesis for large planar array antennas utilizing successive fast Fourier transforms of the array factor,” IEEE Transactions on Antennas and Propagation, vol. 55, no. 3, pp. 715-722, 2007.

W. P. du Plessis, “Efficient computation of array factor and sidelobe level of linear arrays,” IEEE Antennas and Propagation Magazine, vol. 58, no. 6, pp. 102-114, 2016.

W. P. M. N. Keizer, “Large planar array thinning using iterative FFT techniques,” IEEE Transactions on Antennas and Propagation, vol. 57, no. 10, pp. 3359-3362, 2009.

L. L. Wang, D. G. Fang, and W. X. Sheng, “Combination of genetic algorithm (GA) and fast Fourier transform (FFT) for synthesis of arrays,” Microwave and Optical Technology Letters, vol. 37, no. 1, pp. 56-59, 2003.

J. Z. Liu, Z. Q. Zhao, K. Yang, and Q. H. Liu, “A hybrid optimization for pattern synthesis of large antenna arrays,” Progress in Electromagnetics Research-pier, vol. 145, pp. 81-91, 2014.

Y. J. Miao, F. F. Liu, J. X. Lu, and K. Li, “Synthesis of unequally spaced arrays with uniform excitation via iterative second-order cone programming,” IEEE Transactions on Antennas and Propagation, vol. 68, no. 8, pp. 6013-6021, 2020.

X. M. Xu, C. Liao, L. Zhou, and F. Peng, “Grating lobe suppression of non-uniform arrays based on position gradient and sigmoid function,” IEEE Access, vol. 7, pp. 106407-106416, 2019.

D. R. Prado, M. Arrebola, M. R. Pino, and F. Las-Heras, “Application of the NUFFT to the analysis and synthesis of aperiodic arrays,” 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), Verona, Italy, pp. 708-711, 2017.

M. Narasimhan and R. S. Rao, “Synthesis of far-field patterns of circular cylindrical arrays,” Microwave and Optical Technology Letters, vol. 4, no. 5, pp. 196-199, 1991.

H. Steyskal and J. S. Herd, “Mutual coupling compensation in small array antennas,” IEEE Transactions on Antennas and Propagation, vol. 38, no. 12, pp. 1971-1975, 1990.

J. Rubio, J. F. Izquierdo, and J. Corcoles, “Mutual coupling compensation matrices for transmitting and receiving arrays,” IEEE Transactions on Antennas and Propagation, vol. 63, no. 2, pp. 839-843, 2014.

J. Corcoles, M. A. Gonzalez, and J. Rubio, “Mutual coupling compensation in arrays using a spherical wave expansion of the radiated field,” IEEE Antennas and Wireless Propagation Letters, vol. 8, pp. 108-111, 2009.

D. Kelley and W. Stutzman, “Array antenna pattern modeling methods that include mutual coupling effects,” IEEE Transactions on Antennas and Propagation, vol. 41, no. 12, pp. 1625-1632,1993.

S. P. Boyd and L. Vandenberghe, Convex Optimization, Cambridge, UK, Cambridge University Press, 2004.

D. W. Boeringer and D. H. Werner, “Particle swarm optimization versus genetic algorithms for phased array synthesis,” IEEE Transactions on Antennas and Propagation, vol. 52, no. 3, pp. 771-779,2004.

N. Jin and Y. Rahmat-Samii, “Advances in particle swarm optimization for antenna designs: Real-number, binary, single-objective and multiobjective implementations,” IEEE Transactions on Antennas and Propagation, vol. 55, no. 3, pp. 556-567,2007.

W.-C. Liu, “Design of a multiband CPW-fed monopole antenna using a particle swarm optimization approach,” IEEE Transactions on Antennas and Propagation, vol. 53, no. 10, pp. 3273-3279, 2005.

Y. H. Liu, Z.-P. Nie, and Q. H. Liu, “A new method for the synthesis of non-uniform linear arrays with shaped power patterns,” Progress in Electromagnetics Research, vol. 107, pp. 349-363,2010.

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已出版

2023-06-30

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[1]
F. . Peng, C. . Liao, Y.-F. . Cheng, J. . Feng, 和 S.-D. . Wang, 《Mutual Coupling Compensation-based Nonuniform Fourier Transform Technique for Accurate and Efficient Pattern Evaluation and its Application to Synthesis of Aperiodic Arrays》, ACES Journal, 卷 38, 期 06, 页 382–391, 6月 2023.

期

2023: Vol 38 Iss 6

栏目

General Submission

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