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中文摘要：
分数阶傅里叶变换（FRFT）是分析线性调频信号（LFM）最有效的工具之一．本文研究了LFM信号在分数阶傅里叶域（FRFD）上的分辨性能以及变换阶次上的分辨性能，并研究了变换阶次误差对输出信噪比的影响，分别得到了FRFD分辨率、变换阶次分辨率、输出信噪比损失与信号持续时间及调频率的关系，为利用FRFF进行LFM信号检测和参数估计时的分辨率分析、变换阶次搜索步长的选择等提供一定的理论参考。
英文摘要：
Fractional Fourier transform is one of the most effective tools to analyze the linear frequency modulated （LFM） signal.We focus on the resolution performances of LFM signal in the fractional Fourier domain （FRFD） and the order of FRFr, and the influence of the order error of FRFr on output signal-to-noise-ratio（SNR）. The relationships of signal duration and chirp rate with the FRFD resolution, with the order resolution and with the SNR loss are obtained respectively. In detection and parameter estimarion of the LFM signal based on the FRFr, this research can provide some theoretical help for resolution analysis and the order step selection.
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