LFM signal detection based on fractional power spectrum
LFM signal detection based on fractional power spectrum
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发表时间：
2009
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通讯作者：
Wan Dong-jin
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作者：
Wan Dong-jin
从分数阶傅里叶变换（FRFT）与时频分布的关系出发，推导出模糊函数的径向切片是分数阶功率谱的傅里叶变换这一有趣的事实，进而提出了一种新的线性调频信号检测器，并证明了新检测器与RAT检测器的等价性，从而提出了一种利用新检测器检测LFM信号的新方法，该方法只需要进行一定角度的分数阶傅里叶变换计算，计算复杂度低于RAT方法。
The interesting fact that the radial slice of the ambiguity function is the Fourier transform of the fractional power spectrum is deduced from the relationships between fractional Fourier transform(FRFT) and time-frequency distributions.Then a new detector for linear frequency modulated signals is proposed,and the equivalence between the new detector and the RAT detector is demonstrated.Therefore a new LFM signal detection method using the new detector is proposed.Only some FRFT calculation in certain angle is essential for the new method,so its computational complexity is lower than that of the RAT method.