Analysis of Frequency Offset Errors Through Interval Arithmetic in Frequency Diverse Arrays

The frequency diverse array (FDA) can generate a range-angle-coupled beampattern by introducing an additional frequency shift to its array element. The FDA has gained more and more attention due to its superiority over traditional phased array. However, different from phased arrays, frequency offset exists in the FDA as a unique parameter, its error will unavoidably affect the performance of the array, but current publications barely investigate into it. In this article, an approach based on interval analysis is proposed to analyze the tolerance of the power pattern, which is caused by the deviation of frequency offset in the manufacturing process. Numerical simulations are implemented to validate the proposed method and point out its characteristics and potential.