射频仿真系统中幅度误差对角模拟精度的影响分析

Impact Analysis of Amplitude Error on Angle Simulation Precision in RFSS

角模拟精度是射频仿真系统的一项重要指标,而三元组幅度控制误差是影响角模拟精度的重要因素,分析角模拟误差与幅度误差的关系具有重要意义。首先,在三元组最大幅度误差限制下,对固定角位置下的最大角模拟误差问题进行建模,该优化问题是一个非凸优化问题,通过分析其结构特性,获得最优解的六组可能取值。其次,对三元组内任意角位置下的最大角模拟误差问题进行建模,基于固定角位置的优化结果与该问题的结构特性,获得三元组最大角模拟误差的闭式表达式,揭示最大角模拟误差对应的视在辐射中心。然后,分析幅度误差较小时,三元组最大角模拟误差的渐进特性,揭示了渐进角模拟误差随幅度误差变化的线性关系。最后,仿真验证了角模拟精度分析结果的准确性。

Amplitude error of each antenna in three-element array is an important factor affecting the angle simulation precision,which is a key index in radio frequency simulation system(RFSS).Analyzing the relationship between angle simulation error and amplitude error is of great significance.Firstly,under the maximum amplitude error limitation of three-element array,the problem of maximum angle simulation error at a fixed incoming wave direction is modeled.This optimization problem is a non-convex optimization problem,and by analyzing its structural characteristics,six possible values for the optimal solution are obtained.Secondly,the problem of maximum angle simulation error at any incoming wave direction within the three-element array is modeled.Based on the optimization results for the fixed incoming wave direction and structural properties of the problem,a closed-form expression for the maximum angle simulation error is obtained,and the apparent radiation centers corresponding to the maximum angle simulation error are revealed.Then,when the amplitude errors approach zero,the asymptotic characteristics of the maximum angle simulation error of the three-element array are analyzed,revealing that the asymptotic angle simulation error increases linearly with the amplitude error.Finally,the accuracy of the analysis results is proved via numerical simulations.