一种频率源噪声频谱拟合方法的研究A Study of Fitting Method for Frequency Source Noise Power Spectrum
李孝辉,张慧君,边玉敬
摘要(Abstract)：
在分析频率源的噪声特性的时候,经常需要由Allan方差或功率谱计算频率源的五种噪声强度系数的值,通常采用人工分析的方法,求出噪声系数,这严重阻碍了自动化处理的应用。给出的一种自动拟合算法可以满足这方面的需要。在最小均方误差意义下,这种算法能自动完成对噪声类别的判定、噪声区间的划分以及噪声系数确定,所有这些无须人工参予。最后,对模拟数据和实测的几种频率源的功率谱曲线进行拟合,实验研究的结果表明这种方法拟合的相对误差不超过11％。
关键词(KeyWords)： 拟合;频率源;噪声
基金项目(Foundation):
作者(Author): 李孝辉,张慧君,边玉敬
Email:
DOI:
参考文献(References)：
- [1] D. W. Allan. Time and Frequency (Time--Domain) Characterization, Estimation, and Prediction of Precision Clocks and Oscillators. IEEE Transactions on Instrumentation and Measurement, 1987, 34(6) : 647～654
- [2] G. Shaton. Development of Timing Architecture for a Secure Global Communications Network. http: //www.capitolcollege. edu/general/GPS/downloads/GPSPaper2． pdf
- [3] Charles A. Greenhall, Spectral Ambiguity of Allan Variance. IEEE Transactions on Instrumentation and Measurement,1998, 47 (3) : 623～628
- [4] Yu. S. Shmaliy, A. V. Marienko, A. V. Savchuk. GPS-Based Optimal Kalman Estimation of Time Error, Frequeney Offset, And Aging. 1999, 31st Annual Precise Time and Time Interval (PTTI) Meeting, 1999, 431～441
- [5] J. A. Barnes, et al. Characterization of Frequency Stability. IEEE Transactions on Instrumentation and Measurement,1971, 20(2) : 105～120
- [6] Todd Walter. Characterizing Frequency Stability: A Continuous Power-Law Model with Discrete Sampling. IEEE Transactions on Instrumentation and Measurement,1994, 43(1) :
- [7] 郑宝玉,糜正琨等.通信工程中的最优化方法.北京:北京邮电学院出版社,1997,172～218