Adaptive Fractional Fourier Transform Detection Method for Short Packets of Frequency-shifted Chirp Signal

XIU Menglei; DOU Gaoqi; FENG Shimin

doi:10.11999/JEIT240370

Volume 46 Issue 12

Dec. 2025

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XIU Menglei, DOU Gaoqi, FENG Shimin. Adaptive Fractional Fourier Transform Detection Method for Short Packets of Frequency-shifted Chirp Signal[J]. Journal of Electronics & Information Technology, 2024, 46(12): 4483-4492. doi: 10.11999/JEIT240370

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XIU Menglei, DOU Gaoqi, FENG Shimin. Adaptive Fractional Fourier Transform Detection Method for Short Packets of Frequency-shifted Chirp Signal[J]. Journal of Electronics & Information Technology, 2024, 46(12): 4483-4492. doi: 10.11999/JEIT240370

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Adaptive Fractional Fourier Transform Detection Method for Short Packets of Frequency-shifted Chirp Signal

doi: 10.11999/JEIT240370

School of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China

Funds: The National Natural Science Foundation of China (61871473), The Naval Engineering University’s Independent Research and Development Program Project (2023503090)

Received Date: 2024-05-09
Rev Recd Date: 2024-11-26

Available Online: 2024-11-30

Publish Date: 2025-12-01

Abstract

Abstract

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 packet,
- Frequency-shifted chirp signal,
- Adaptive Fractional Fourier Transform (FrFT),
- Frame detection performance

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References(23)

References

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