Adaptive Fractional Fourier Transform Detection Method for Short Packets of Frequency-shifted Chirp Signal
To address the pulse dispersion issue in detecting frequency-shifted chirp signals with traditional Fractional Fourier Transform(FrFT),an adaptive FrFT detection method is proposed in this paper.Leveraging the structural model of short packets and the Neyman-Pearson detection model,an analytical method is derived to evaluate the false alarm probability and missed detection probability of signal frame detection using an evaluation function and a decision threshold.Incorporating the pulse characteristics of traditional FrFT for complete chirp signals,a correction scheme for the fractional Fourier integral operator is proposed,and the peak distribution function of the frequency-shifted chirp symbol is derived for the adaptive FrFT.Addressing the search time shift issue in the adaptive FrFT detection process,the peak size and distribution of the frequency-shifted chirp symbol are analyzed,and the superiority of the adaptive FrFT detection compared to traditional FrFT is demonstrated.
Short packetFrequency-shifted chirp signalAdaptive Fractional Fourier Transform(FrFT)Frame detection performance
万方数据
维普
