分数阶双稳系统随机共振现象研究及FPGA实现

doi:10.3969/j.issn.1000-1158.2022.03.04

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Abstract The fractional order is more concise and accurate for the description of complex systems with memory dependence and spatial correlation, compared with the integer order calculus. It is observed that the damping has power-law attenuation characteristics, so a reasonable autocorrelation damping kernel function is selected. Combining the theory of fractional calculus and Langevin equation, the fractional Langevin equation can be derived. Then, a FPGA implementation method of fractional bistable stochastic resonance system is proposed based on this theory. Finally, a simulation experiment is performed to verify whether the system can generate stochastic resonance by changing the order of the fractional order. The results show that the system can generate stochastic with an appropriate fractional order, which can effectively extract the weak signal submerged by noise. And there is an optimal fractional order that maximizes the useful signal output gain.

Key words： metrology;weak signal detection fractional calculus;FPGA;stochastic resonance;bistable system

Received: 07 September 2020 Published: 23 March 2022

PACS:

TB973

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	Articles by authors
	ZHU Zuo
	ZHENG Yong-jun
	LUO Zai

Cite this article:

ZHU Zuo,ZHENG Yong-jun,LUO Zai. Research on Stochastic Resonance Phenomenon of Fractional Bistable System and FPGA Implementation[J]. Acta Metrologica Sinica, 2022, 43(3): 318-324.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2022.03.04 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2022/V43/I3/318

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