基于改进GA-FFT综合含互耦效应的不等间隔阵列赋形方向图

游鹏飞; 刘颜回; 黄鑫; 朱春辉; 柳清伙

doi:10.11999/JEIT151189

基于改进GA-FFT综合含互耦效应的不等间隔阵列赋形方向图

doi: 10.11999/JEIT151189

1.
(厦门大学电子科学系厦门 361005) ②(杜克大学电气与计算机工程系达勒姆 27708)

基金项目:

国家自然科学基金(61301009)，中央高校基本科研业务费(20720160081)

计量
- 文章访问数: 1677
- HTML全文浏览量: 211
- PDF下载量: 424
- 被引次数: 0
出版历程
- 收稿日期: 2015-10-29
- 修回日期: 2016-04-08
- 刊出日期: 2016-08-19

Modified GA-FFT for Synthesizing Shaped Pattern of Unequally Spaced Array in Presence of Mutual Coupling

1.
(Department of Electronic Science, Xiamen University, Xiamen 361005, China)
2.
(Department of Electrical and Computer Engineering, Duke University, Durham 27708, USA)

Funds:

The National Natural Science Foundation of China (61301009), The Fundamental Research Funds for the Central Universities (20720160081)

摘要

摘要: 该文提出了一种虚拟的最小均方有源单元方向图展开方法，将不等间隔阵列的有源方向图展开为一个虚拟的均匀间隔阵列的若干单元辐射的叠加。通过该方法，对包含阵元耦合效应的不等间隔阵列方向图，可以使用快速傅里叶变换进行加速计算。并且，该文将这个方法与遗传算法(GA)相结合，得到一种改进的GA-FFT方法，可以应用于解决含阵元互耦的不均匀间隔阵列的赋形波束综合问题。最后，分别对不等间隔的偶极子阵列平顶方向图及微带阵列的余割平方方向图进行了综合，结果表明所提方法的有效性和优势。
- 不等间隔阵列 /
- 阵元互耦 /
- FFT /
- 波束赋形
Abstract: A new Virtual Least-Square Active Element Pattern Expansion (VLS-AEPE) method is presented in this paper, which considers each active element pattern of an unequally spaced array as the one radiated by some of equally spaced elements of a virtual array. Using the help of this method, the pattern of an unequally spaced array including mutual coupling can be efficiently calculated by FFT. In addition, this method is combined with the Genetic Algorithm (GA) to deal with the shaped pattern synthesis problem for unequally spaced linear arrays. Two synthesis experiments including the synthesis of flat-top pattern for an unequally spaced dipole array and the synthesis of cosec-squared pattern for an unequally spaced microstrip array are conducted to verify the effectiveness and advantages of the proposed algorithm.
- Unequally spaced linear array /
- Element mutual coupling /
- FFT /
- Shaped pattern synthesis

HTML全文

参考文献(18)

WANG X, ABOUTANIOS E, and AMIN M G. Thinned array beampattern synthesis by iterative soft-thresholding- based optimization algorithms[J]. IEEE Transactions on Antennas and Propagation, 2014, 62(12): 6102-6113. doi: 10. 1002/MOP.10823.

赵宜楠, 张涛, 李风从, 等. 基于交替投影的MIMO雷达最优波形设计[J]. 电子与信息学报, 2014, 36(6): 1368-1373. doi: 10.3724/SP.J.1146.2013.01198.

ZHAO Y N, ZHANG T, LI F C, et al. Optimal waveform design for MIMO radar via alternating projection[J]. Journal of Electronics Information Technology, 2014, 36(6): 1368-1373. doi: 10.3724/SP.J.1146.2013.01198.

于波, 陈客松, 朱盼, 等. 稀布圆阵的降维优化方法[J]. 电子与信息学报, 2014, 36(2): 476-481. doi: 10.3724/SP.J.1146. 2013.00526.

YU B, CHEN K S, ZHU P, et al. An optimum method of sparse concentric rings array based on dimensionality reduction[J]. Journal of Electronics Information Technology, 2014, 36(2): 476-481. doi: 10.3724/SP.J.1146. 2013.00526.

WANG L L, FANG D G, and SHENG W X. Combination of Genetic Algorithm(GA) and Fast Fourier Transform(FFT) for synthesis of arrays[J]. Microwave and Optical Technology Letters, 2003, 37(1): 56-79. doi: 10.1002/MOP.10823.

LIU Q H and NGUYEN N. An accurate algorithm for NonUniform Fast Fourier Transforms (NUFFT,s)[J]. IEEE Microwave and Guided Wave Letters, 1998, 8(1): 18-20. doi: 10.1109/75.650975.

YANG K, ZHAO Z Q, and LIU Q H. Fast pencil beam pattern synthesis of large unequally spaced antenna arrays[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(2): 627-634. doi: 10.1109/TAP.2012.2220319.

LIU J Z, ZHAO Z Q, YANG K, et al. A hybrid optimization for pattern synthesis of large antenna arrays[J]. Progress In Electromagnetics Research, 2014, 145: 81-91. doi: 10.2528/ PIER13121606.

JIANG M L, CHEN R S, ZHOU L, et al. Synthesis of arrays with Genetic Algorithm(GA) and Nonuniform Fast Fourier Transform (NFFT)[C]. Asia-Pacific Microwave Conference Proceedings(APMC), Suzhou, China, 2005, 4: 2. doi: 10. 1109/APMC.2005.1606885.

POZAR D M. The active element pattern[J]. IEEE Transactions on Antennas Propagation, 1994, 42(8): 1176-1178. doi: 10.1109/8.310010.

POZAR D M. A relation between the active input impedance and the active element pattern of a phased array[J]. IEEE Transactions on Antennas and Propagation, 2003, 51(9): 2486-2489. doi: 10.1109/TAP.2003.816302.

KELLY D F and STUTZMAN W L. Array antenna pattern modeling methods that include mutual coupling effects[J]. IEEE Transactions on Antennas and Propagation, 1993, 41(12): 1625-1632. doi: 10.1109/8.273305.

STEYSKAL H and HERD J S. Mutual coupling compensation in small array antennas[J]. IEEE Transactions on Antennas and Propagation, 1990, 38(12): 1971-1975. doi: 10.1109/8.60990.

YOU P F, LIU Y H, HUANG X, et al. Efficient phase-only linear array synthesis including coupling effect by GA-FFT based on least-square active element pattern expansion method[J]. Electronics Letters, 2015, 51(10): 791-792. doi: 10.1049/EL.2015.0431.

LIU Y H, NIE Z P, and LIU Q H. A new method for the synthesis of non-uniform linear arrays with shaped power patterns[J]. Progress In Electromagnetics Research, 2010, 107: 349-363. doi: 10.2528/PIER10060912.

WANG F, BALAKRISHNAN V, ZHOU P Y, et al. Optimal array pattern synthesis using semidefinite programming[J]. IEEE Transactions on Signal Processing, 2003, 51(5): 1172-1183. doi: 10.1109/TSP.2003.810308.

FUCHS B. Synthesis of sparse arrays with focused or shaped beampattern via sequential convex optimizations[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(7): 3499-3503. doi: 10.1109/TAP.2012.2196951.

施引文献

资源附件(0)

访问统计