基于二阶锥约束的方向不变恒定束宽波束形成

幸高翔; 蔡志明

doi:10.3724/SP.J.1146.2008.00800

基于二阶锥约束的方向不变恒定束宽波束形成

doi: 10.3724/SP.J.1146.2008.00800

基金项目:

国家重点基础研究发展规划项目(613660202)资助课题

计量
- 文章访问数: 3575
- HTML全文浏览量: 111
- PDF下载量: 997
- 被引次数: 0
出版历程
- 收稿日期: 2008-06-23
- 修回日期: 2009-06-08
- 刊出日期: 2009-09-19

Steering-Invariant Constant Beamwidth Beamforming with SOCP Constraints

摘要

摘要: 该文提出了基于2阶锥约束(SOCP)的方向不变恒定束宽波束形成算法。本算法的优化准则为在保证各个指向上设计波束的主瓣与相应的参考波束的主瓣之间的均方误差最小的条件下，使设计波束旁瓣级尽量低。该约束优化可转化为标准2阶锥形式，采用优化工具箱SeDuMi实现。仿真计算表明，新算法能够在主波束指向60范围内得到良好的方向不变恒定束宽波束图。
- 波束形成;方向不变恒定束宽;主瓣控制;二阶锥规划
Abstract: This paper introduces a steering-invariant constant beamwidth beamforming algorithm with Second-Order Cone Programming (SOCP) constraints. The optimizing criterion of the proposed algorithm is suppressing the designed sidelobe level utmost while keeping the mean-squared error between the designed mainlobe and the corresponding reference mainlobe on all look directions minimizing. The constrained optimizing formula can be reformed to a standard SOCP fashion and be solved with SeDuMi, an optimization toolbox. It is shown with simulation that the proposed algorithm can obtain the steering-invariant constant beamwidth beampattern effectively under the designed main-lobe direction of 60.

HTML全文

参考文献(1)

Van Trees H L. Optimum Array Processing[M]. New York:John Wiley Sons. Inc, 2002, Chapter 2.[2]Ward D B, Kennedy R A, and Williamson R C. Theory anddesign of broadband sensor arrays with frequency invariantfar-field beam patterns [J].Journal of the Acoustical Societyof America.1995, 97 (2):1023-1034[3]张保嵩, 马远良. 宽带恒定束宽波束形成器的设计与实现[J].应用声学, 1999, 18(5): 29-33.Zhang Bao-song and Ma Yuan-liang. Bearformer forbroadband constant beamwidth through FIR and DSPimplementation [J]. Applied Acoustics, 1999, 18(5): 29-33.[4]Liu Wei and Weiss S. A new class of broadband arrays withfrequency invariant beam patterns [C]. ICASSP-2004,Montreal, Canada, 2004: 185-188.[5]Yan She-feng. Optimal design of FIR beamformer withfrequency invariant patterns[J].Applied Acoustics.2006,67(6):511-528[6]Giuseppe A and Ryuji K. Chebyshev-like sidelobebeampatterns with adjustable beamwidth and steeringinvariance[C]. Proceedings for European Wireless 2002(EW02), Florence (Italy), 2002: 732-738.[7]Khanna R. Characterization and development of algorithmsfor arrays processing architectures of adaptive antennas inwireless communication[D]. [Ph.D. dissertation], DeemedUniversity, India, 2006.[8]马远良. 任意结构形状传感器阵方向图的最佳化[J]. 中国造船, 1984, 25(4): 78-85.Ma Yuan-liang. Pattern optimization for sensor arrays ofarbitrary configuration[J]. Ship Building of China, 1984, 25(4):78-85.[9]Olen C A and Compton R T. A numerical pattern synthesisalgorithm for arrays[J].IEEE Transactions on Antennas andPropagation.1990, 38(10):1666-1676[10]Anh P and Hoang D T. A numerical pattern synthesisalgorithm for arbitrary arrays[C]. Proceedings of 6thInternational Symposium on Antennas, Propagation and EMTheory, Beijing, 2003, 10: 210-213.[11]Sturm J F. Using SeDuMi 102, a Matlab toolbox foroptimization over symmetric cones[J].. Optimization Methodsand Software.1999, 11(12):625-653[12]Jing L, Gershman A B, and Zhi-quan L, et al.. Adaptivebeamforming with sidelobe control: A second-order coneprogramming approach[J].IEEE Signal Processing Letters.2003, 10(11):331-334[13]幸高翔, 蔡志明. 方向不变恒定束宽波束图数值综合[J].电子与信息学报.2009, 31(3):574-577浏览

施引文献

资源附件(0)

访问统计