子阵结构FDA阵列模糊函数建模与研究

基于模糊函数的优化是频率分集阵列FDA雷达波形设计的重要手段，针对现有文献中缺乏对子阵结构频率分集阵列模糊函数研究的问题展开分析。首先建立了窄带条件下发射简单脉冲的FDA阵列数据模型，对比了FDA阵列与相控阵的方向图特性；在此基础上，基于信号经匹配滤波器输出的时域卷积出发推导出FDA阵列在三种接收信号处理机制下的复型模糊函数；然后，对采用不同频控函数的交叉子阵FDA阵列的发射方向图特性、模糊函数特性分别展开分析，并用仿真验证了采用正弦频控函数的FDA阵列具有较好的干扰抑制性能的结论，从而为后续基于子阵FDA阵列的模糊函数设计雷达波形以实现干扰抑制的一系列研究奠定了重要基础。

Research on Negative Ambiguity Function Characteristics of Frequency Diverse Array

Aimed at the problems that the optimization based on ambiguity function is an important means of Frequency Diverse Array (FDA) radar waveform design, the ambiguity function of sub array based Frequency Diverse Array is lack of research in the existing literature, a data model for FDA transmitting simple pulses under narrow band conditions is established and the beam pattern characteristics of FDA arrays is compared to the phased arrays. On this basis, based on the time domain convolution of the signal through the matched filter output, the ambiguity function of the FDA array under three received signal processing architectures is derived. Then, the transmit beam pattern characteristics and the ambiguity function characteristics of the cross sub array based FDAs with different frequency offset are analyzed separately. The result shows that the FDA with sinusoidal frequency offset has a good interference suppression performance. The correctness of the analysis is verified and an important foundation is laid by this method for a series of studies in designing radar waveforms based on the ambiguity function of the sub array based FDA to achieve interference suppression.