利用Chebyshev窗函数获得恒定束宽加权矩阵的数值算法

Numerical Algorithm to Calculate Weighting Matrix of Constant Beamwidth Array Using Chebyshev Window

为了避免空间指向性由于频率变化引起的发射或接收信号失真,目标分类与识别用声纳常采用恒定束宽阵。恒定束宽加权矩阵的获得方法是设计此类声纳基阵的技术关键。根据空间加窗可以改变声纳波束形状的原理,提出了一种利用Chebyshev窗获得形成恒定束宽波束所需频域加权矩阵的数值算法。文中从分析Chebyshev窗的三个参数之间的关系出发,获得了用于确定最优权系数的迭代公式,并提供了收敛步长的选取方法。计算机仿真验证了方法的有效性。

The Sonar used to classify and identify the submerged objects using constant beamwidth array in order to prevent sending or receiving signals distortion caused by beam pattern changing with frequency. It is the key technology for design of the constant beamwidth array to calculate the weight matrix. A numerical algorithm to calculate weighting matrix of constant beamwidth array based on Chebyshev window is introduced. An iterative formula to evaluate the optimum weighting coefficient is obtained by analyzing the relationships among three parameters of Chebyshev window and a method to select convergence pace is presented. Finally, validity of new method has been affirmed through computer simulation.