基于区间算法的频控阵阵元位置误差分析

频控阵通过在各阵元的发射基频上引入一个微小的频率偏移, 可以产生距离和角度相关的波束，这使得频控阵在信息和信号处理中更加灵活。但是, 大多数文献在分析频控阵时, 都假设阵元位置是理想而无误差的。而在实际情况中, 阵元位置往往会存在制造误差, 这必定会让实际发射波束的各项性能指标偏离理论设计的性能指标。而目前，几乎没有关于频控阵阵列位置误差分析的文献, 因此迫切需要寻找一种对频控阵阵元位置误差进行分析的方法。提出一种基于区间分析算法的频控阵阵列位置误差分析方法，以分析各阵元位置误差对波束性能的影响。该方法首先假设各阵元位置误差在某个已知的区间, 然后通过一系列数值计算得到误差对波束性能影响的上界和下界, 最后通过仿真实验验证此方法的有效性。

Position error analysis of FDA elements via interval algorithm

Frequency diverse array (FDA) can generate range-angle dependent beampattern by introducing a small frequency offset to the transmit fundamental frequency of each array element, which enables more flexibility in information signal processing. However, most of the existing research on FDA assume that the array element position is ideal with no error. In practice, position error is unavoidable in manufacturing process, which will inevitably cause the actual performance deviation from the theoretical design performance indicators, while current literature seldom include the analysis of the position error of FDA. Therefore, it is urgent to find a method to analyze the position error of FDA. In this paper, a new method based on the interval analysis (IA) algorithm is proposed to analyze the influence of the position error of each element on the FDA beam performance. The method firstly assumes that the position error of each element is in a certain known interval, and then through a series of numerical calculations, the upper and lower bounds of the effect of the error on the beam performance can be obtained. Finally, the effectiveness of this method is verified by simulation experiments.