A Bayesian method for oscillator stability analysis

Vernotte F.; Zalamansky G.

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A Bayesian method for oscillator stability analysis

机译：贝叶斯方法进行振荡器稳定性分析

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The power spectral density of frequency fluctuations of annoscillator is generally modeled as a sum of power laws with integernexponents (from -2 to +2). However, a power law with a fractionalnexponent may exist. We propose a method for measuring the level of suchna noise process and determining the probability density of the exponent.nThis yields a criterion for compatibility with an integer exponent. Thisnmethod is based on a Bayesian approach called the reference analysis ofnBernardo-Berger. The application to a sequence of frequency measurementnfrom a quartz oscillator illustrates this paper

机译：振荡器频率波动的功率谱密度通常建模为具有整数n指数（从-2到+2）的功率定律之和。但是，可能存在幂指数为幂的幂律。我们提出了一种测量此类噪声过程的水平并确定指数概率密度的方法.n这产生了与整数指数兼容的标准。该方法基于贝叶斯方法，称为贝纳多·贝格的参考分析。本文将其应用于石英振荡器的频率测量序列n进行了说明

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《IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control》 |1999年第6期|p.1545-1550|共6页
作者
Vernotte F.; Zalamansky G.;
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正文语种 eng
中图分类声学工程;计量学;
关键词
Bayes methods; circuit noise; circuit stability; crystal oscillators; Bayesian method; Bernardo-Berger reference analysis; SiO2; fractional exponent; frequency fluctuations; frequency measurement; noise; power law; power spectral density; probability densi;

机译：贝叶斯方法;电路噪声;电路稳定性;晶体振荡器;贝叶斯方法;Bernardo-Berger参考分析;SiO2;分数指数;频率波动;频率测量;噪声;功率定律;功率谱密度;概率密度;

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1. A Bayesian method for oscillator stability analysis [J] . Vernotte F., Zalamansky G. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control . 1999,第6期

机译：贝叶斯方法进行振荡器稳定性分析
2. Subharmonic-Response Computation and Stability Analysis for a Nonlinear Oscillator Using a Split-Frequency Harmonic Balance Method [J] . J. F. Dunne Journal of Computational and Nonlinear Dynamics . 2006,第3期

机译：分频谐波平衡法的非线性振子次谐波响应计算与稳定性分析
3. Subharmonic-Response Computation and Stability Analysis for a Nonlinear Oscillator Using a Split-Frequency Harmonic Balance Method [J] . J. F. Dunne Journal of Computational and Nonlinear Dynamics . 2006,第3期

机译：分频谐波平衡法的非线性振子次谐波响应计算与稳定性分析
4. Quasi-linear Analysis Method Based on Frequency Stability of Quartz Crystal Oscillator [C] . Lin Yan, Yiming Qi, Yunlong Ji International Conference on Signal and Information Processing, Networking and Computers . 2019

机译：基于石英晶体振荡器频率稳定性的准线性分析方法
5. An investigation of alternative statistical methods for stability data, including but not limited to the use of defensible Bayesian priors [D] . Ptukhina, Maryna. 2016

机译：研究稳定性数据的替代统计方法，包括但不限于使用可辩护的贝叶斯先验
6. Bayesian methods in clinical trials: a Bayesian analysis of ECOG trials E1684 and E1690 [O] . Joseph G Ibrahim, Ming-Hui Chen, Haitao Chu 2012

机译：临床试验中的贝叶斯方法：ECOG试验E1684和E1690的贝叶斯分析
7. A Bayesian Method for Oscillator Stability Analysis [O] . Francois Vernotte, Gilles Zalamansky 1999

机译：振子稳定性分析的贝叶斯方法
8. Bayesian Method for Oscillator Characterization [R] . Vernotte, F., Zalamansky, G. 1998

机译：振荡器表征的贝叶斯方法

A Bayesian method for oscillator stability analysis

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