乘性三值噪声作用下微分电路中的随机共振现象研究

doi:10.3969/j.issn.1000-1158.2015.04.19

摘要
图/表
参考文献(14)
相关文章 (15)

全文: PDF (1406 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要基于线性系统理论,利用三值噪声的统计性质,推导出了系统输出幅度增益的解析表达式。研究表明,随着输入信号频率、三值噪声的定态概率、噪声状态间的跃迁速率、参数k(电容C的倒数)的增大,输出幅度增益出现一个最大值。当信号频率较低时,输出幅度增益随着k的增大而单调下降;当信号频率较高时,输出幅度增益随着k的增大而单调增大。当信号频率较低时,输出幅度增益随着定态概率的增大而单调增大;当信号频率较高时,输出幅度增益随着定态概率的增大而单调下降。随着G0(电阻的倒数)的增大,输出幅度增益单调减小。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	赵欣
	欧剑

关键词 ：计量学, 随机共振, 输出幅度增益, 乘性三值噪声, 微分电路

Abstract：Based on the linear system theory, applying the statistical properties of the trichotomous noise, the analytical expression of the output amplitude gain (OAG) is derived.It is shown that, with the increase of the frequency of the input signal, the increase of the stable probability of the trichotomous noise, the increase of the switching rate between the noise states, as well as the increase of the parameter k (the reciprocal of capacitor C), the system OAG reaches a maximum value.For low signal frequency, with the increase of k, the OAG decreases monotonically, while for high signal frequency, the OAG increases monotonically with the increase of k.For low signal frequency, with the increase of the stable probability, the OAG increases monotonically, while for high signal frequency, the OAG decreases monotonically with the increase of the stable probability.The OAG decreases monotonically with the increase of the parameter G0 (the reciprocal of resistance).

Key words： Metrology Stochastic resonance Output amplitude gain Multiplicative trichotomous noise Differential circuit

基金资助:四川省教育厅2013年度科研项目重点项目(13ZA0326)

作者简介: 赵欣(1963-),女,重庆人,绵阳职业技术学院副教授,硕士,从事工业自动控制、电气工程、计算机软件方面的研究。zxpaopao@126.com

引用本文:

赵欣,欧剑. 乘性三值噪声作用下微分电路中的随机共振现象研究[J]. 计量学报, 2015, 36(4): 423-427.
ZHAO Xin,OU Jian. Study on Stochastic Resonance Phenomenon in a Differential Circuit with Multiplicative Trichotomous Noise. Acta Metrologica Sinica, 2015, 36(4): 423-427.

链接本文:

http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2015.04.19 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2015/V36/I4/423

［1］Wu X J, Cai W S, Shao X G, et al. A Method Based on Stochastic Resonance for the Detection of Weak Analytical Signal［J］.Talanta,2003,61(9):863-869.
［2］祝恒江, 李蓉, 温孝东.利用随机共振在强噪声下提取信息信号［J］.物理学报, 2003, 52 (10): 2404-2408.
［3］张季谦,辛厚文.噪声在非线性化学体系中作用的研究现状［J］.化学进展,2001,13(4):241-250.
［4］Gitterman M.Harmonic oscillator with fluctuating damping parameter ［J］.Physica A, 2004, 69(4):041101-041104.
［5］郭锋,罗向东,李少甫,等.随机参数诱导交流积分器中的随机共振研究［J］.振动与冲击,2010, 29 (3): 197-200.
［6］郭明良,郭松林,付家才.基于微分电路的频率/直流电压转换原理的频率测量计［J］.电测与仪表,2008, 45(51): 61-64.
［7］李祥,邬小枚,方祖祥,等.心电信号的采集及R波同步检测［J］.上海生物医学工程,2006, 27 (4): 214-216.
［8］刘清.减小噪声干扰的热敏电阻传感器动态测量误差补偿［J］.计量学报,2005, 26 (2):111-116.
［9］Bourret R C, Frish H.Brownian motion of harmonic oscillator with stochastic frequency［J ］. Physica A, 1973, 65 (2): 303-307.
［10］黄家英.自动控制原理［M］.2版.北京:高等教育出版社,2010.
［11］武娟,许勇,张慧清,等.非对称三值噪声激励下一类线性系统的随机共振现象［J］.陕西师范大学学报,2012, 40 (1) : 9-12.
［12］韩引霞,符强.三值噪声调制下电路中的随机共振现象［J］.宁波大学学报(理工版),2013, 26 (1) :104-109.
［13］Ning L J, Xu W, Yao M L. Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise ［J］.Chin Phys,2007, 16 (9) : 2595-2599.
［14］Soika E, Mankin R, Ainsaar A. Resonant behavior of a fractional oscillator with fluctuating frequency［J］.Phys Rev E , 2010, 81(3): 011141/1-11.