频率分集阵列负型模糊函数特性仿真

Negative ambiguity function characteristics simulation of FDA

现有研究主要是关于频率分集阵列(FDA)基于阵元发射窄带条件下单载频信号的假设而展开的,缺乏对线性调频(LFM)信号是否适用于FDA问题的研究。考虑到基于模糊函数的优化是雷达波形设计的重要手段,在建立FDA数据模型的基础上,建立线阵发射、单天线接收模型下的FDA负型模糊函数,系统分析其主要特性。在此基础上,仿真分析了基于矩形脉冲、线性调频信号以及采用不同非线性频控函数的FDA负型模糊函数特性,对比了采用不同非线性频控函数的FDA的目标距离-角度二维联合估计性能。仿真结果在验证FDA模糊函数建立正确性的同时,得出采用正弦频控函数的FDA性能最优的结论。从而为基于模糊函数的复杂信号FDA波形设计以及基于FDA方向图解耦技术的发射波形设计奠定了重要基础。

Considering that the existing extensive research on frequency diverse array(FDA)is mainly working on the assumption that single-carrier frequency signals are transmitted under narrow-band conditions.And there is a lack of relevant research on the issue whether linear frequency modulation signals are suitable for FDAs.Considering that ambiguity function based optimization is an important means of radar’s waveform design,based on the establishment of FDA data model,this paper establishes FDA negative ambiguity function under linear array transmission and single-antenna reception model and analyzes its main characteristics systematically.On this basis,the characteristics of FDA negative ambiguity function based on rectangular pulse,linear frequency modulation(LFM)signal and different nonlinear frequency offset are simulated and compared.The performance of target range-angle two-dimensional joint estimation of FDA using different nonlinear frequency control functions is compared.The simulation results verify that the FDA ambiguity function is correct,and the performance of FDA with sinusoidal frequency offset is the best.This lays an important foundation for the complex signal FDA waveform design based on ambiguity function and the transmission waveform design based on FDA beampatten decoupling technology.