Optimizing DSFH communication system performance via multi-feedback unsaturated tri-stable stochastic resonance for enhancement of periodic signal

To address the challenges in dual-sequence frequency-hopping (DSFH) communication caused by the difficulty in detecting intermediate-frequency (IF) signals under low signal-to-noise ratio conditions, this study proposes a method based on detecting enhanced periodic signals using a multi-feedback unsaturated tri-stable stochastic resonance (MFUTSR) system. Initially, we construct an unsaturated tri-stable stochastic resonance (UTSR) system by leveraging the anti-saturation characteristics of the segmented potential function. This UTSR system is then serially connected with a monostable system and incorporates feedback control to establish the MFUTSR system. Applying the adiabatic approximation theory, we derive the steady-state probability density (SPD) and signal-to-noise ratio (ISNR) of the MFUTSR system, investigating the influence of system parameters on these factors. Finally, to enhance the reliability of the DSFH communication system, we introduce a new evaluation metric, AC. Through numerical simulations and practical application in DSFH communication systems, it can be concluded that the MFUTSR system has significant advantages in periodic feature enhancement and noise suppression. Additionally, using AC as the evaluation metric for symbol decision can greatly reduce the system's bit error rate (BER). The innovative MFUTSR system introduced in this study enhances periodic signal detection in DSFH communication, demonstrating superior robustness against noise and significantly improving system reliability.