声学技术
聲學技術
성학기술
Technical Acousitics
2014年
4期
376-379
,共4页
发射波束%凸优化%CVX工具箱设计
髮射波束%凸優化%CVX工具箱設計
발사파속%철우화%CVX공구상설계
transmitting beam%convex optimization%convex box
将发射阵的期望主瓣幅度响应波束设计转化为凸优化问题,并利用 cvx 工具箱求解最优加权。首先,根据期望波束的主瓣范围,将空间区域分为主瓣区域和旁瓣区域,再在主瓣区域内将设计波束和期望波束之差的2-范数最小化,并将设计波束图旁瓣级控制在期望值之下。最后,利用 cvx 工具箱对该凸优化问题进行求解,获得满足要求的设计波束图。通过计算机仿真对所提波束图设计方法的有效性进行了验证。
將髮射陣的期望主瓣幅度響應波束設計轉化為凸優化問題,併利用 cvx 工具箱求解最優加權。首先,根據期望波束的主瓣範圍,將空間區域分為主瓣區域和徬瓣區域,再在主瓣區域內將設計波束和期望波束之差的2-範數最小化,併將設計波束圖徬瓣級控製在期望值之下。最後,利用 cvx 工具箱對該凸優化問題進行求解,穫得滿足要求的設計波束圖。通過計算機倣真對所提波束圖設計方法的有效性進行瞭驗證。
장발사진적기망주판폭도향응파속설계전화위철우화문제,병이용 cvx 공구상구해최우가권。수선,근거기망파속적주판범위,장공간구역분위주판구역화방판구역,재재주판구역내장설계파속화기망파속지차적2-범수최소화,병장설계파속도방판급공제재기망치지하。최후,이용 cvx 공구상대해철우화문제진행구해,획득만족요구적설계파속도。통과계산궤방진대소제파속도설계방법적유효성진행료험증。
The synthesis of transmitting beam-pattern of a uniform linear array with a desired mainlobe amplitude re-sponse is considered as a convex optimization problem in this paper. Firstly, the whole spatial zone is divided into the mainlobe zone and sidelobe zone. Then, in the mainlobe zone, the 2-norm of the difference between the desired beampattern and the designed beampattern is minimized. In the sidelobe zone, the sidelobe peak is set to be not bigger than the desired value. Finally, the convex box is used to calculate the complex weights of sensors in the uniform linear array. Some numerical simulations are provided for demonstrating the effectiveness of the proposed beampattern syn-thesis method.