A novel weak signal reception algorithm integrating a soft-limiter with adaptive stochastic resonance in alpha-stable-distributed noise environments

Abstract

Abstract The alpha-stable distribution is capable of modeling non-Gaussian impulsive noise, which widely exists in practical applications. Research on weak signal reception with alpha-stable-distributed noise is not only of great significance but also faces substantial challenges. In light of this, an innovative weak signal reception algorithm integrating a soft-limiter with the adaptive stochastic resonance (ASR) technique is proposed. This approach capitalizes on the initial noise suppression capability of the nonlinear soft-limiter, coupled with the unique benefit of the ASR technique in fostering a cooperative resonance effect through automatically adjusting stochastic resonance system parameters, even amidst highly dynamic signal and noise conditions. Through an in-depth quantitative study of the stochastic resonance system mechanism, detailed steps for ASR system implementation are provided. The realization of the ASR system can make full use of the random noise energy transferring to ordered signals, thus achieving the goal of using random noise to enhance weak, useful signals. By employing the ASR system as a weak signal pre-enhancement unit, the performance of weak signal reception in alpha-stable-distributed noise environments can be significantly improved. Finally, extensive numerical simulations are provided to verify the efficacy of the proposed algorithm.