摘 要线性调频信号即 LFM 信号是一种在雷达，通信，声纳，地震探测等领域中有着重要作用的非平稳信号。因为 LFM 信号是一种非平稳信号，对它进行参数估量会比较复杂，现在的处理方法大多是使用时频面上的二维峰值搜索。分数阶傅里叶变换是时频变换中的一种，因为它在处理多重量 LFM 信号时不会产生交叉项，所以在 LFM 信号的参数估量中得到了广泛的应用。本文首先介绍了分数阶傅里叶变换的基本定义及性质，然后介绍了变换的离散算法中的采样型算法，即 Ozaktas 采样型算法和 Pei 采样型算法，并使用这两种算法在 matlab 上进行了 LFM 信号参数估量的仿真实验。在论文的安排上，首先介绍了题目的背景和所做的工作；然后，介绍了离散分数阶傅里叶变换的定义及计算过程，还有使用这些算法进行参数估量时的计算方法；之后，讲述了的仿真过程和结果；最后，对实验结果进行了分析和主观评估。关键词：分数阶傅里叶变换；线性调频信号；参数估量；离散算法AbstractThe LFM signal is a kind of non-stationary signal ,which plays an important role in the field of radar, communication, sonar, seismic detection etc.Because of LFM signal is a nonstationary signal, so the parameter estimation for it is more complex. now most of the method to estimation it parameter,is two-dimensional peak search on ime-frequency plane .Fractional Fourier transform is one kind of frequency conversion, because when it's processing the multi-component LFM signal it will not get cross terms. so it has been widely used in the parameter estimation of LFM signal .This article first introduces tthen introduces the discrete fractional Fourier transform algorithm type of sampling algorithm, and use these two kinds of algorithm do parameter estimation of LFM signal simulation experiment on matlab.On the arrangement of the thesis, the author firstly introduces the background of the topic and the authors have done;Then, this paper introduces the definition of discrete fractional Fourier transform and the calcul...
