An Improved Antenna Array Pattern Synthesis Method Using Fast Fourier Transforms
An improved antenna array pattern synthesis method using fast Fourier transform is proposed, which can be effectively applied to the synthesis of large planar arrays with periodic structure. Theoretical and simulative analyses show that the original FFT method has a low convergence rate and the conv...
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| Published in | International journal of antennas and propagation Vol. 2015; no. 2015; pp. 1 - 9 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Publishing Corporation
01.01.2015
John Wiley & Sons, Inc Wiley |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1687-5869 1687-5877 1687-5877 |
| DOI | 10.1155/2015/316962 |
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| Abstract | An improved antenna array pattern synthesis method using fast Fourier transform is proposed, which can be effectively applied to the synthesis of large planar arrays with periodic structure. Theoretical and simulative analyses show that the original FFT method has a low convergence rate and the converged solution can hardly fully meet the requirements of the desired pattern. A scaling factor is introduced to the original method. By choosing a proper value for the scaling factor, the convergence rate can be greatly improved and the final solution is able to fully meet the expectations. Simulation results are given to demonstrate the effectiveness of the proposed algorithm. |
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| AbstractList | An improved antenna array pattern synthesis method using fast Fourier transform is proposed, which can be effectively applied to the synthesis of large planar arrays with periodic structure. Theoretical and simulative analyses show that the original FFT method has a low convergence rate and the converged solution can hardly fully meet the requirements of the desired pattern. A scaling factor is introduced to the original method. By choosing a proper value for the scaling factor, the convergence rate can be greatly improved and the final solution is able to fully meet the expectations. Simulation results are given to demonstrate the effectiveness of the proposed algorithm. |
| Author | Wang, Yanfei Wang, Xucun Zhou, Yiguo |
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| CitedBy_id | crossref_primary_10_1155_2016_1829458 crossref_primary_10_1029_2021RS007342 crossref_primary_10_1038_s41598_022_26382_w crossref_primary_10_1109_TAP_2024_3349771 crossref_primary_10_1155_2016_7521723 crossref_primary_10_3390_s22197526 |
| Cites_doi | 10.1109/TAP.2012.2220319 10.1109/74.848944 10.1109/TAP.2007.915472 10.1109/TAP.2002.803959 10.1109/8.267354 10.1109/LAWP.2010.2051314 10.1109/8.901272 10.1109/TAP.2012.2194642 10.1109/8.768786 10.1017/CBO9780511804441 10.2528/PIER08030904 10.1109/TMAG.2009.2012687 10.1109/TAP.2010.2046853 10.1109/TAP.2007.891511 |
| ContentType | Journal Article |
| Copyright | Copyright © 2015 Xucun Wang et al. Copyright © 2015 Xucun Wang et al. Xucun Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| References | (1) 1993; 41 (2) 2000; 48 (14) 2007; 55 (9) 2000; 42 Boyd S. Vandenberghe L. Convex Optimization 2009 Cambridge University Press 10.1017/CBO9780511804441 MR2061575 (11) 2008; 82 (8) 1999; 47 (12) 2009; 45 (16) 2013; 61 (4) 2002; 50 (15) 2010; 9 (10) 2012; 60 Nocedal J. Wright S. J. Numerical Optimization 2006 New York, NY, USA Springer MR2244940 (5) 2008; 56 (13) 2010; 58 Schaubert D. H. Boryssenko A. O. van Ardenne A. de Vaate J. G. B. Craeye C. The square kilometer array (SKA) antenna Proceedings of the IEEE International Symposium on Phased Array Systems and Technology October 2003 351 358 10.1109/PAST.2003.1257007 11 12 13 14 15 16 1 2 3 4 5 8 9 (7) 2006 10 |
| References_xml | – volume: 55 start-page: 715 issue: 3 year: 2007 end-page: 722 ident: 14 article-title: Fast low-sidelobe synthesis for large planar array antennas utilizing successive fast fourier transforms of the array factor – volume: 56 start-page: 584 issue: 2 year: 2008 end-page: 589 ident: 5 article-title: Synthesis of very large planar arrays for prescribed footprint illumination – volume: 47 start-page: 506 issue: 3 year: 1999 end-page: 510 ident: 8 article-title: Genetic algorithms in the design and optimization of antenna array patterns – volume: 60 start-page: 3034 issue: 6 year: 2012 end-page: 3040 ident: 10 article-title: An improved real-coded genetic algorithm for the beam forming of spaceborne SAR – volume: 82 start-page: 319 year: 2008 end-page: 332 ident: 11 article-title: An improved particle swarm optimization algorithm for pattern synthesis of phased arrays – volume: 45 start-page: 1490 issue: 3 year: 2009 end-page: 1493 ident: 12 article-title: Thinned planar array design using boolean PSO with velocity mutation – volume: 41 start-page: 1541 issue: 11 year: 1993 end-page: 1550 ident: 1 article-title: Flexible array synthesis method using quadratic programming – volume: 48 start-page: 1837 issue: 12 year: 2000 end-page: 1847 ident: 2 article-title: An effective approach for the optimal focusing of array fields subject to arbitrary upper bounds – reference: Boyd S. Vandenberghe L. Convex Optimization 2009 Cambridge University Press 10.1017/CBO9780511804441 MR2061575 – volume: 42 start-page: 12 issue: 3 year: 2000 end-page: 20 ident: 9 article-title: Synthesis of antenna arrays using genetic algorithms – volume: 61 start-page: 627 issue: 2 year: 2013 end-page: 634 ident: 16 article-title: Fast pencil beam pattern synthesis of large unequally spaced antenna arrays – reference: Schaubert D. H. Boryssenko A. O. van Ardenne A. de Vaate J. G. B. Craeye C. The square kilometer array (SKA) antenna Proceedings of the IEEE International Symposium on Phased Array Systems and Technology October 2003 351 358 10.1109/PAST.2003.1257007 – volume: 58 start-page: 2142 issue: 6 year: 2010 end-page: 2145 ident: 13 article-title: Array pattern synthesis using digital phase control by quantized particle swarm optimization – reference: Nocedal J. Wright S. J. Numerical Optimization 2006 New York, NY, USA Springer MR2244940 – volume: 9 start-page: 518 year: 2010 end-page: 521 ident: 15 article-title: FFT synthesis of radiation patterns with wide nulls using tapered leaky-wave antennas – volume: 50 start-page: 1539 issue: 11 year: 2002 end-page: 1554 ident: 4 article-title: Optimal far-field focusing of uniformly spaced arrays subject to arbitrary upper bounds in nontarget directions – ident: 16 doi: 10.1109/TAP.2012.2220319 – year: 2006 ident: 7 – ident: 9 doi: 10.1109/74.848944 – ident: 5 doi: 10.1109/TAP.2007.915472 – ident: 4 doi: 10.1109/TAP.2002.803959 – ident: 1 doi: 10.1109/8.267354 – ident: 15 doi: 10.1109/LAWP.2010.2051314 – ident: 2 doi: 10.1109/8.901272 – ident: 10 doi: 10.1109/TAP.2012.2194642 – ident: 8 doi: 10.1109/8.768786 – ident: 3 doi: 10.1017/CBO9780511804441 – ident: 11 doi: 10.2528/PIER08030904 – ident: 12 doi: 10.1109/TMAG.2009.2012687 – ident: 13 doi: 10.1109/TAP.2010.2046853 – ident: 14 doi: 10.1109/TAP.2007.891511 |
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| SubjectTerms | Algorithms Antenna arrays Antennas Arrays Computer simulation Convergence Fourier transforms Linear programming Optimization algorithms Scaling factors Synthesis |
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| Title | An Improved Antenna Array Pattern Synthesis Method Using Fast Fourier Transforms |
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