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Nonstationary weak signal detection based on normalization stochastic resonance with varying parameters

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Abstract

The nonlinear stochastic resonance system possesses the ability of taking advantage of background noise to enhance the weak signal. It provides a new approach to detect the weak signal embedded with heavy noise. This study proposes a new varying parameter stochastic resonance employing the fourth-order Runge–Kutta numerical method as well as the normalized transformation of a bistable stochastic resonance system. The model performs well in the detection of a time-varying signal with background noise for denoising and signal recovery. We take the fitness coefficient and cross-correlation coefficient as the criteria and analyze the influence of different parameters. The simulating results indicate its availability, validity and that it generates a better performance than the traditional stochastic resonance. The method develops the area of time-varying signal detection with stochastic resonance and presents new strategy for detection and denoising of a time-varying signal. It can be expected to be widely used in the areas of aperiodic signal processing, radar communication, etc.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China with the Grant Nos. 51475441 and 11274300. Besides, the authors also would like to thank the anonymous reviewers for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei, 230026, Anhui, People’s Republic of China

    Haibin Zhang, Wei Xiong, Shangbin Zhang, Qingbo He & Fanrang Kong

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  1. Haibin Zhang
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  2. Wei Xiong
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  3. Shangbin Zhang
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  4. Qingbo He
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  5. Fanrang Kong
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Correspondence to Haibin Zhang.

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Zhang, H., Xiong, W., Zhang, S. et al. Nonstationary weak signal detection based on normalization stochastic resonance with varying parameters. Sādhanā 41, 621–632 (2016). https://doi.org/10.1007/s12046-016-0503-x

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  • DOI: https://doi.org/10.1007/s12046-016-0503-x

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