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Adaptive Measurement and Parameter Estimation for Low-SNR PRBC-PAM Signal Based on Adjusting Zero Value and Chaotic State Ratio

Author

Listed:
  • Minghui Lv

    (Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China)

  • Xiaopeng Yan

    (Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China)

  • Ke Wang

    (Beijing Institute of Astronautical Systems Engineering, Beijing 100076, China)

  • Xinhong Hao

    (Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China)

  • Jian Dai

    (Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China)

Abstract

Accurately estimating the modulation parameters of pseudorandom binary code–pulse amplitude modulation (PRBC–PAM) signals damaged by strong noise poses a significant challenge in emitter identification and countermeasure. Traditionally, weak signal detection methods based on chaos theory can handle situations with low signal-to-noise ratio, but most of them are developed for simple sin/cos waveform and cannot face PRBC–PAM signals commonly used in ultra-low altitude performance equipment. To address the issue, this article proposes a novel adaptive detection and estimation method utilizing the in-depth analysis of the Duffing oscillator’s behaviour and output characteristics. Firstly, the short-time Fourier transform (STFT) is used for chaotic state identification and ternary processing. Then, two novel approaches are proposed, including the adjusting zero value (AZV) method and the chaotic state ratio (CSR) method. The proposed weak signal detection system exhibits unique capability to adaptively modify its internal periodic driving force frequency, thus altering the difference frequency to estimate the signal parameters effectively. Furthermore, the accuracy of the proposed method is substantiated in carrier frequency estimation under varying SNR conditions through extensive experiments, demonstrating that the method maintains high precision in carrier frequency estimation and a low bit error rate in both the pseudorandom sequence and carrier frequency, even at an SNR of −30 dB.

Suggested Citation

  • Minghui Lv & Xiaopeng Yan & Ke Wang & Xinhong Hao & Jian Dai, 2024. "Adaptive Measurement and Parameter Estimation for Low-SNR PRBC-PAM Signal Based on Adjusting Zero Value and Chaotic State Ratio," Mathematics, MDPI, vol. 12(20), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3203-:d:1497582
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    References listed on IDEAS

    as
    1. Zhou, Zuanbo & Yu, Wenxin & Wang, Junnian & Liu, Meiting, 2022. "A high dimensional stochastic resonance system and its application in signal processing," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Wang, QiuBao & Yang, YueJuan & Zhang, Xing, 2020. "Weak signal detection based on Mathieu-Duffing oscillator with time-delay feedback and multiplicative noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
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