[1]查进道,李春彪,雷腾飞.微弱复合信号的随机共振[J].南京师大学报(自然科学版),2022,45(04):26-34.[doi:10.3969/j.issn.1001-4616.2022.04.005]
　Zha Jindao,Li Chunbiao,Lei Tengfei.Stochastic Resonance of Compound Weak Signal[J].Journal of Nanjing Normal University(Natural Science Edition),2022,45(04):26-34.[doi:10.3969/j.issn.1001-4616.2022.04.005]
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微弱复合信号的随机共振()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第45卷
期数:
2022年04期
页码:
26-34
栏目:
物理学
出版日期:
2022-12-15

文章信息/Info

Title:
Stochastic Resonance of Compound Weak Signal
文章编号:
1001-4616(2022)04-0026-09
作者:
查进道1; 李春彪2; 雷腾飞3; 4
(1.江苏经贸职业技术学院,江苏 南京 211168)
(2.南京信息工程大学人工智能学院,江苏 南京 210044)
(3.齐鲁理工学院忆阻计算应用协同创新中心,山东 济南 250200)
(4.山东省中德智慧工厂应用工程研究中心,山东 济南 250200)
Author(s):
Zha Jindao1; Li Chunbiao2; Lei Tengfei3; 4
(1.Jiangsu Vocational Institute of Commerce,Nanjing 211168,China)
(2.School of Artificial Intelligence,Nanjing University of Information Science & Technology,Nanjing 210044,China)
(3.Collaborative Innovation Center of Memristive Computing Application,Qilu Institute of Technology,Jinan 250200,China)
(4.Engineering Research Center of Shandong Sino-German Smart Factory Application,Jinan 250200,China)
关键词:
随机共振; Langevin方程; 信噪比; 差分进化算法
Keywords:
stochastic resonance; Langevin equation; signal-to-noise ratio; differential evolution algorithm
分类号:
TH133.33
DOI:
10.3969/j.issn.1001-4616.2022.04.005
文献标志码:
A
摘要:
本文基于绝热近似理论,统一了输入信号为微弱周期信号和非周期信号的随机共振系统的信噪比,以此信噪比为适应度函数,利用差分进化算法可对微弱复合信号的随机共振系统参数进行寻优. 通过对随机共振系统的理论分析与仿真实验发现,若输入信号混有多个不同频率的微弱复合信号,本算法能有效分离较大能量的频率分量; 若输入的微弱复合信号含经符号函数调制的多个频率分量,也能对其中较大能量的频率成分进行有效提取; 若输入的微弱复合信号包含多个能量相差不大的脉冲信号,则各个脉冲信号皆可提取.
Abstract:
A unified definition of signal-to-noise ratio for the stochastic resonance of compound periodic and aperiodic weak signal is proposed according to the adiabatic approximation theory,based on that the fitness function to optimize the parameters of the stochastic resonance system is constructed by differential evolution algorithm. Theoretical analysis and numerical simulation proves the effectiveness of the proposed method of stochastic resonance. When the input signal contains multiple-frequency weak signals,the specific frequency signal with larger energy can be separated out; If the input weak compound signal contains multiple-frequency components modulated by signum function,the one with larger energy can also be extracted effectively; If the input weak compound signal contains multiple-pulse signals with almost approximate energy,all of them can be extracted effectively.

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备注/Memo

备注/Memo:
收稿日期:2022-04-20.
基金项目:国家自然科学基金项目(61871230)、江苏高校优势学科Ⅲ期建设工程资助项目、江苏省哲学社会科学优秀创新团队资助项目.
通讯作者:李春彪,博士,教授,研究方向:非线性电路与系统及其应用. E-mail:goontry@126.com,chunbiaolee@nuist.edu.cn
更新日期/Last Update: 2022-12-15