Abstract
Linear frequency-modulated continuous wave (LFMCW) signals have low probability interception (LPI) characteristics, and contain multicomponent LFM signals. The detection and estimation of LFMCW signals is a difficult problem for radar intelligence and reconnaissance systems. In addressing this problem, first the fractional Fourier transform (FRFT) of the LFMCW signal is analyzed. By periodic modulating of the FRFT kernel function, the periodic fractional Fourier transform (PFRFT) is defined, and the relationship between the PFRFT and FRFT is derived. By analyzing the PFRFT of the LFMCW, a novel method based on the PFRFT to detect and estimate an unknown LFMCW is presented. The detection and estimation performance are also discussed. Finally, simulation verifies its effectiveness and rationality. Compared with the FRFT, PFRFT increases the LFMCW SNR with periodic accumulation, and fits a periodic modulated signal to the LFMCW.
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