Abstract

When the initial frequencies and chirp-rates of multi-component linear frequency modulation (LFM or chirp) signals are close, in the fractional Fourier domain (FRFD), the phenomenon may occur that the peaks of multi-component LFM signals can't be distinguished. It results in some target signals undetected. In this paper, firstly, the spectrum distribution characteristics of a continuous LFM signal in FRFD are analyzed, and the spectrum distribution characteristics of a discrete LFM signal in the discrete FRFD are also analyzed. Secondly, the critical resolution distance between two LFM signals in the FRFD is deduced, and the relationship between dimensional normalization parameter and the distance between two LFM signals in the FRFD is also deduced. It is discovered that selecting a proper dimensional normalization parameter can increase the distance. Finally, a method to seffect the dimensional normalization parameter is proposed, which can improve the resolution ability of the FRFT for the multi-component LFM signals. And its effectiveness is verified by the simulation results.

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