卫星赋形波束天线优化方法的改进

Improvements of Optimization Methods for Satellite Shaped Beam Antennas

本文采用了最小ｐ乘法和Ｍｉｎｉｍａｘ法对卫星多波束天线的赋形问题进行了研究，提出了用归一化的功率偏差值作为目标函数，使各点的偏差得以平衡，权值的选取变得十分简单。同时根据上述两种方法的目标函数特点，采用了相应有效的算法。最后用一个偏置抛物面多波束天线对本文改进后的方法进行了验证，并和以前的方法进行了比较。

The least pth method and the Minimax method are used to optimize the feed excitation coefficients of multibeam satellite antennas in this paper. The normalized deviation of the calculated power from the desired power is presented as the error function. Balancing the deviation in each sampling point, the normalized power deviation makes the choices of the weighting factors very simple. Meanwhile, According to the characteristics of the error functions, efficient algorithms are adopted. Finally, an example of multibeam offset parabolic antennas is presented to test the methods, and comparisons with the previous methods are also made. We conclude that using the normalized deviation as the error function is suitable for the optimization of shaped beam antennas.