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SNR gain enhancement in a generalized matched filter using artificial optimal noise

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  • Ren, Yuhao
  • Pan, Yan
  • Duan, Fabing

Abstract

For a weak signal buried in a given background noisy environment, a generalized matched filter composed of nonlinearities and weight coefficients is investigated by exploring the potential benefit of the artificial noise. With the output signal-to-noise ratio (SNR) of the conventional linear matched filter as a benchmark, the SNR gain of the generalized matched filter is proven to be possibly improved by adding an optimal noise into the easily implemented nonlinearity. From the practical point of view, even if the filter itself has an adaptability to the noisy environment, the approach of adaptive stochastic resonance still finds an optimal non-zero amount of added noise to enhance the SNR gain of the generalized matched filter. Interestingly, the optimal added noise found by the adaptive stochastic resonance method can also maximize another meaningful measure of the mean residence time (MRT), which provides more physical insight to the generalized matched filter in the sense of the noise-enhanced stability phenomenon. These obtained results indicate an extended application of the incorporation of noise in the nonlinear filter design.

Suggested Citation

  • Ren, Yuhao & Pan, Yan & Duan, Fabing, 2022. "SNR gain enhancement in a generalized matched filter using artificial optimal noise," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s096007792101095x
    DOI: 10.1016/j.chaos.2021.111741
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    1. Dong, Haitao & Shen, Xiaohong & He, Ke & Wang, Haiyan, 2020. "Nonlinear filtering effects of intrawell matched stochastic resonance with barrier constrainted duffing system for ship radiated line signature extraction," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2021. "A novel underdamped continuous unsaturation bistable stochastic resonance method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Mikhaylov, A.N. & Guseinov, D.V. & Belov, A.I. & Korolev, D.S. & Shishmakova, V.A. & Koryazhkina, M.N. & Filatov, D.O. & Gorshkov, O.N. & Maldonado, D. & Alonso, F.J. & Roldán, J.B. & Krichigin, A.V. , 2021. "Stochastic resonance in a metal-oxide memristive device," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    4. M. I. Dykman & P. V. E. McClintock, 1998. "What can stochastic resonance do?," Nature, Nature, vol. 391(6665), pages 344-344, January.
    5. Fabing Duan & François Chapeau-Blondeau & Derek Abbott, 2012. "Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-6, April.
    6. Liu, Jian & Qiao, Zijian & Ding, Xiaojian & Hu, Bing & Zang, Chuanlai, 2021. "Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    7. Zhang, Wenyue & Shi, Peiming & Li, Mengdi & Han, Dongying, 2021. "A novel stochastic resonance model based on bistable stochastic pooling network and its application," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    8. D. Valenti & L. Schimansky-Geier & X. Sailer & B. Spagnolo, 2006. "Moment equations for a spatially extended system of two competing species," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 199-203, March.
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