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线性相控阵天线的指向增益在对N个天线单元仅用相位控制并对与阵列法线的夹角θ_1,θ_2,…,θ_J,设置J个零位的约束条件下达到最大值。要确定J个零位角首先要了解辐射源的方向。带有约束条件的最大值问题可简化为2J+2非线性方程,它可以通过矢量牛顿算法依据2J+2未知数产生N个天线复加权来求解。文中举出了均匀幅度加权和汉明幅度加权的20个单元阵列并设置多到5个零位角的例子,同时也给出了主波束调零的例子。
The directional gain of a linear phased array antenna reaches its maximum under the constraint of setting J zero points for only the N antenna elements by phase control and for the included angles θ_1, θ_2, ..., θ_J with the array normal. To determine the J zero angle we must first understand the direction of the radiation source. The maximum problem with constraints can be reduced to a 2J + 2 nonlinear equation that can be solved by a vector Newton algorithm that generates N antenna complex weights based on 2J + 2 unknowns. An example is given in which 20 cell arrays with uniform amplitude weighting and Hamming amplitude weighting are set up to as many as five null angles, and an example of zeroing the main beam is also given.