Union Resolution Performance of Frequency Modulation Parameter Based on RWT for LFM Signals

Union resolution performance of FM (frequency modulation) parameter based on Radon-Wigner transform (RWT) for multi-component LFM (linear frequency modulation) signals is studied. Firstly, the RWT output expression is offered, and the independent resolution performances of initial frequency and chirp rate are analyzed. Secondly, the RWT output approximate analytic expression is given based on quadratic Taylor's series expansion, and the contour property is analyzed. Contour can be used to picture the union resolution performance of FM parameter, and 2-D resolution performance is studied based on approximate analytic expression, and the union resolution expression of FM parameter and resolution ellipse are offered. The simulation results validate the union resolution expression, and show that the union resolution can improve the resolution performance of multi-component LFM signals, contrasted with absolute resolution performance. The paper can help the study of LFM parameter estimation and resolution performance.

多分量微弱LFM信号的检测

提出了一种基于分数阶傅里叶变换的多分量微弱LFM信号的检测方法。首先利用分数阶Fourier域的LMS自适应滤波算法,改善了LMS算法对LFM信号的处理效果。在此基础上,提出了分数阶Fourier域的自适应谱线增强器(ALE)算法,提高了对多分量微弱LFM信号的检测性能,并将分数阶Fourier变换的移动算法应用于谱线增强器,减少了运算量。

分数阶Fourier域多分量微弱LFM信号的检测

为了提高对多分量微弱LFM信号的检测能力,提出了一种基于分数阶Fourier域非均匀采样理论的信号检测方法。首先提出了一种自适应非均匀采样方法,建立了该方法的模型,得到了非均匀采样LFM信号在分数阶Fourier域的频谱表达式。在此基础上,对多分量非均匀采样LFM信号进行了检测研究。计算机仿真结果表明,同传统的信号检测方法相比,该方法对微弱LFM信号具有较好的检测能力,而且减少了运算量,满足了实时性要求。

微弱LFM信号的Fr FT检测能力分析

基于分数阶傅里叶变换(Fr FT)检测线性调频(LFM)信号广泛应用于雷达、通信、声呐和电子战领域,但缺乏对检测灵敏度的定量分析。为此,研究了Fr FT对微弱LFM信号的检测能力。根据Fr FT思想和二元假设检验理论,推导了检测概率和虚警概率的数学表达式。由于表达式是关于LFM信号频谱的函数,因此区分快变信号和慢变信号对LFM的频谱进行了合理近似。基于接收机工作特性曲线分析了Fr FT检测LFM信号的灵敏度。仿真比较了Fr FT与传统傅里叶变换(FT)对微弱LFM信号的检测能力,结果表明Fr FT对LFM信号的检测灵敏度和信号累积能力均优于FT。

基于分数阶Fourier变换的微弱LFM信号检测

为了提高侦察系统对微弱LFM信号的检测能力,文章提出了一种基于分数阶Fourier变换的微弱LFM的检测方法。首先,分析LFM信号在离散分数阶Fourier变换计算条件下的输出信噪比,得出当观测信号的采样点数增大时,分数阶Fourier变换可有效改善输出信噪比。利用该结论,提出了通过提高信号的采样频率或者对已采样信号作插值的方法,改善分数阶Fourier变换对微弱LFM信号的检测。最后,仿真验证该方法是有效的。