一种混合范数整形分辨率可调的波束形成器
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摘要
针对实际应用中需要调节分辨率的现象,提出一种混合范数整形分辨率可调的波束形成器。该方法利用信号的稀疏特性与子空间方法使零陷和旁瓣降低的同时,根据l2范数具有促进稠密解的特性,加入了对主瓣的l2范数约束,从而增大主瓣的阵列增益强度,使主瓣宽度变窄。仿真结果表明,调节加权系数可以调节波束图的主瓣宽度、旁瓣高度和零陷深度,实现了分辨率可调的目的。也可以根据实际需要通过调节加权系数实现各性能参数间良好折衷。
In view of the fact that the resolution sometimes is needed to be adjusted in practical applications,a mixed norm shaped beamformer with adjustable resolution is proposed in this paper. The method uses signal sparse characteristics and signal subspace method to reduce the nullings and side lobe,meanwhile based on the property of l2 norm improving denseness solution,it adds l2 norm constraint on the main lobe to increase the gain strength of the main lobe,narrowing the width of the main lobe. The simulation results show that adjusting the weighting coefficient can adjust the main lobe width,sidelobe height and nulling depth,so it realizes the purpose of adjustable resolution. And according to the actual needs,adjusting the weighting coefficients can also realize good tradeoff among the performance parameters.
In view of the fact that the resolution sometimes is needed to be adjusted in practical applications,a mixed norm shaped beamformer with adjustable resolution is proposed in this paper. The method uses signal sparse characteristics and signal subspace method to reduce the nullings and side lobe,meanwhile based on the property of l2 norm improving denseness solution,it adds l2 norm constraint on the main lobe to increase the gain strength of the main lobe,narrowing the width of the main lobe. The simulation results show that adjusting the weighting coefficient can adjust the main lobe width,sidelobe height and nulling depth,so it realizes the purpose of adjustable resolution. And according to the actual needs,adjusting the weighting coefficients can also realize good tradeoff among the performance parameters.
引文
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[2]Kikuchi H,Yoshikawa E,Ushio T,et al.Application of adaptive digital beamforming to Osaka University phased array weather radar[J].IEEE Transactions on Geoscience and Remote Sensing,2017,55(7):3875-3884
[3]Migliorelli C,Alonso J F,Romero S,et al.Automated detection of epileptic ripples in MEG using beam former based virtual sensors[J].Journal of Neural Engineering,2017,14(4):1-14
[4]Tuna C,Zhao S K,Nguyen T,et al.Drive-by large-region acoustic noise-source mapping via sparse beamforming tomography[J].Journal of the Acoustical Society of America,2016,140(4):2530-2541
[5]Capon J.High-resolution frequency-wave number spectrum analysis[J].Proceedings of the IEEE,1969,57(8):1408-1418
[6]Zhang Y,Ng B P,Wan Q.Sidelobe suppression for adaptive beamforming with sparse constraint on beam pattern[J].Electronic Letters,2008,44(10):610-615
[7]De Andrade J F,De Campos M,Aplinario J A.L-1-constrained normalized LMS algorithms for adaptive beamforming[J].IEEE Transactions on Signal Processing,2015,63(24):6524-6539
[8]汪小叶,阳召成,黄建军,等.脉冲噪声下加权稀疏约束稳健波束形成方法[J].信号处理,2017,33(03):288-293Wang X Y,Yang Z C,Huang J J,et al.Robust beamforming method with weighted sparse constraints in impulsive noise[J].Signal Processing,2017,33(03):288-293
[9]刘振,孙超,刘雄厚,等.一种加权稀疏约束稳健Capon波束形成方法[J].物理学报,2016,65(10):151-159Liu Z,Sun C,Liu X H,et al.Robust Capon beamforming with weighted sparse constraint[J].Acta Physica Sinica,2016,65(10):151-159
[10]洪帆,张玉梅,王朔中.数字波束形成器分辨率的提高[J].成都电讯工程学院学报,1988,17(S1):200-215Hong F,Zhang Y M,Wang S Z.Improved resolution of digital beamformer[J].Journal of Chengdu Institute of Telecommunication,1988,17(S1):200-215
[11]郑恩明,黎远松,余华兵,等.基于高阶次Cross Sensor处理的波束形成方法[J].振动与冲击,2015,34(24):12-19Zheng E M,Li Y S,Yu H B,et al.Beamforming method based on high order cross sensor processing[J].Journal of Vibration and Shock,2015,34(24):12-19
[12]王祎鸣,毛兴鹏,洪泓,等.基于斜投影算子的高频雷达窄波束形成方法[J].电波科学学报,2015,30(05):857-863Wang Y M,Mao X P,Hong H,et al.Narrow beamforming method for high frequency radar based on oblique projection operator[J].Chinese Journal of Radio Science,2015,30(05):857-863
[13]Dong Y,Chen C,Jin Y.Joint beamforming with low resolution PSs for millimeter wave communications[J].Electronic Letters,2016,52(18):1541-1542
[14]Das A,Hodgkiss W S,Gerstoft P.Peer-reviewed technical communication coherent multipath direction of arrival resolution using compressed sensing[J].IEEE Journal of Oceanic Engineering,2017,42(2):494-505
[15]陈杰,尹应增.天线阵微波和数字波束形成的联合结构与算法[J].微波学报,2011,27(4):26-31Chen J,Yin Y Z.A hybrid structure and algorithm of microwave and digital beam forming for antenna array[J].Journal of Microwaves,2011,27(4):26-31
[16]陈媛媛.基于可变对角加载的鲁棒自适应波束形成算法研究[D].成都:电子科技大学,2015Chen Y Y.Robust adaptive beamforming algorithm based on variable diagonal loading[D].Chengdu:University of Electronics Science&Technology of China,2015