{"title":"A Stochastic Model of \"Sleeping Sickness\" of Crystal Oscillators","authors":"Y. Shmaliy, R. Brendel","doi":"10.1109/FREQ.2006.275451","DOIUrl":null,"url":null,"abstract":"A stochastic model of a crystal oscillator is discussed at low drive levels, where a crystal resonator exhibits the effect termed \"sleeping sickness\". In the model, resonator losses are supposed to be nonlinear, R<sub>1</sub>(I<sub>r</sub>) = R<sub>10</sub>(1 + gamma<sub>R</sub>/I<sub>r</sub> <sup>n</sup>), where I<sub>r</sub> is a peak amplitude of the piezoelectric current, gamma<sub>R</sub> is a drive level dependence (DLD) coefficient, and n is a degree of nonlinearity. We show that a nonlinear crystal resonator with sleeping sickness does not fall to an \"absolute sleep\" in the oscillator, when a feedback becomes insufficient after a long storage. It rather generates the noise-induced oscillations at the noise level","PeriodicalId":445945,"journal":{"name":"2006 IEEE International Frequency Control Symposium and Exposition","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE International Frequency Control Symposium and Exposition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FREQ.2006.275451","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A stochastic model of a crystal oscillator is discussed at low drive levels, where a crystal resonator exhibits the effect termed "sleeping sickness". In the model, resonator losses are supposed to be nonlinear, R1(Ir) = R10(1 + gammaR/Irn), where Ir is a peak amplitude of the piezoelectric current, gammaR is a drive level dependence (DLD) coefficient, and n is a degree of nonlinearity. We show that a nonlinear crystal resonator with sleeping sickness does not fall to an "absolute sleep" in the oscillator, when a feedback becomes insufficient after a long storage. It rather generates the noise-induced oscillations at the noise level
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
