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.
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2022, Vol. 43 
