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基于压缩感知的均匀圆阵方向不变波束优化方法
引用本文:师学伟,何培宇,喻伟闯,徐自励.基于压缩感知的均匀圆阵方向不变波束优化方法[J].信号处理,2021,37(3):358-365.
作者姓名:师学伟  何培宇  喻伟闯  徐自励
作者单位:四川大学电子信息学院
基金项目:国家自然科学基金资助项目(U1733109)
摘    要:针对现有的方向不变波束形成算法在阵元个数确定以后,其波束的主瓣与旁瓣水平无法进一步改善的情形下。本文基于均匀圆阵在现有方向不变波束形成方法的基础上,通过引入压缩感知理论(Compressed Sensing,CS),提出了一种可以进一步改善波束主瓣与旁瓣水平的方法。该方法使用压缩感知理论对信号进行压缩采样和稀疏重构,并通过凸优化中二阶锥规划方法对恢复的信号进行方向不变波束形成,可以在不增加实际阵元数的前提下,增大阵列孔径,得到旁瓣水平更低和主瓣宽度更窄的波束图。仿真结果表明该方法在一定程度上提升了波束形成器的性能,在阵列信号处理方面具有一定的理论与实际意义。 

关 键 词:二阶锥规划    压缩感知    方向不变波束形成    波束优化
收稿时间:2020-07-31

Steering invariant beam optimization method for uniform circular array based on compressed sensing
Affiliation:College of Electronic Information and Engineering, Sichuan University
Abstract:For the existing steering invariant beamforming algorithm, after the number of elements is determined, the main lobe and side lobe levels of the beam cannot be further improved. Based on the existing steering invariant beamforming methods of a uniform circular array and through introducing Compressed Sensing theory (Compressed Sensing, CS), this paper proposes a method that can further improve the level of the main and side lobes of the beam. This method uses compressed sensing theory to compress the signal and sparsely reconstruct the signal, and uses the second-order cone programming method in the convex optimization to perform steering invariant beamforming on the recovered signal, which can increase the array aperture without increasing the actual number of elements, and can obtain a beam pattern with a lower side lobe level and a narrower main lobe width. Simulation results show that this method improves the performance of the beamformer to a certain extent, and it has certain theoretical and practical significance in array signal processing. 
Keywords:
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