Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

doi:10.1088/1674-1056/24/11/110502

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 110502-110502.doi: 10.1088/1674-1056/24/11/110502

Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

杨定新^a, 谷丰收^b, 冯国金^b, 杨拥民^a, Andrew Ball^b

a College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China;
b Centre for Efficiency and Performance Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK

收稿日期:2015-06-02 修回日期:2015-07-24 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Yang Ding-Xin E-mail:yangdingxincn@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51379526).

Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

Yang Ding-Xin (杨定新)^a, Gu Feng-Shou (谷丰收)^b, Feng Guo-Jin (冯国金)^b, Yang Yong-Min (杨拥民)^a, Andrew Ball^b

a College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China;
b Centre for Efficiency and Performance Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK

Received:2015-06-02 Revised:2015-07-24 Online:2015-11-05 Published:2015-11-05
Contact: Yang Ding-Xin E-mail:yangdingxincn@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51379526).

摘要/Abstract

摘要： The phenomenon of logical stochastic resonance (LSR) in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not suitable for practical applications. First, we examine the responses of the bistable system with fixed parameters to different bit rate logic input signals, showing that an arbitrary high bit rate LSR in a bistable system cannot be achieved. Then, a normalized transform of the LSR bistable system is introduced through a kind of variable substitution. Based on the transform, it is found that LSR for arbitrary high bit rate logic signals in a bistable system can be achieved by adjusting the parameters of the system, setting bias value and amplifying the amplitudes of logic input signals and noise properly. Finally, the desired OR and AND logic outputs to high bit rate logic inputs in a bistable system are obtained by numerical simulations. The study might provide higher feasibility of LSR in practical engineering applications.

关键词: logical stochastic resonance, high bit rate, logic gate

Abstract: The phenomenon of logical stochastic resonance (LSR) in a nonlinear bistable system is demonstrated by numerical simulations and experiments. However, the bit rates of the logical signals are relatively low and not suitable for practical applications. First, we examine the responses of the bistable system with fixed parameters to different bit rate logic input signals, showing that an arbitrary high bit rate LSR in a bistable system cannot be achieved. Then, a normalized transform of the LSR bistable system is introduced through a kind of variable substitution. Based on the transform, it is found that LSR for arbitrary high bit rate logic signals in a bistable system can be achieved by adjusting the parameters of the system, setting bias value and amplifying the amplitudes of logic input signals and noise properly. Finally, the desired OR and AND logic outputs to high bit rate logic inputs in a bistable system are obtained by numerical simulations. The study might provide higher feasibility of LSR in practical engineering applications.

Key words: logical stochastic resonance, high bit rate, logic gate

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

02.50.-r (Probability theory, stochastic processes, and statistics)

杨定新, 谷丰收, 冯国金, 杨拥民, Andrew Ball. Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters[J]. 中国物理B, 2015, 24(11): 110502-110502.

Yang Ding-Xin (杨定新), Gu Feng-Shou (谷丰收), Feng Guo-Jin (冯国金), Yang Yong-Min (杨拥民), Andrew Ball. Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters[J]. Chin. Phys. B, 2015, 24(11): 110502-110502.

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Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

Achieving high bit rate logical stochastic resonance in a bistable system by adjusting parameters

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