针对时间同步设备中广泛使用的铷原子钟长期特性参量估值问题,提出了一种三维状态参量实时估值模型,通过对真空及常压下连续运行两个月以上铷原子钟输出频率的连续监测,将哈德玛方差进行最小二乘非线性拟合,提取铷原子钟状态估值模型噪声参数,得到铷原子钟状态参量估值。结果表明,利用该状态估值模型对铷原子钟频率漂移率进行估值,与目前国内检定规范中通用的最小二乘估值模型相比,估值误差明显减小,更反映铷原子钟频率漂移率的实时变化情况。
Abstract
To focus on the main parameters predictions of high performance rubidium clocks widely used in time keeping systems, a three dimensional state vector estimation model of rubidium clock was presented. The parameters used in this clock estimation model were based on Hadamard variance by nonlinear curve fitting in least-squares sense. With daily data points observed successively for more than 2 months, the state vector estimations of Rubidium clock were obtained. Compared the estimations of the model with the least-squares model, it showed that the characteristic parameters estimation error is much smaller than least-squares linear model, the Model can give the frequency aging rate of rubidium clocks in real time.
关键词
计量学 /
铷原子钟 /
相对频率偏差 /
频率漂移率 /
状态估值 /
哈德玛方差
Key words
metrology /
rubidium clocks /
frequency offsets /
frequency aging /
state estimation /
Hadamard variance
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参考文献
［1］Vannicola F, Beard R,White J,et al. GPS block-IIF rubidium frequency standard life test［C］//41st Annual Precise Time and Time Interval. 2009: 449-456.
［2］Dass T,Freed G,Petzinger J,et al. GPS Clocks in Space: Current Performance and Plans for the Future［C］//34th Annual Precise Time and Time Interval (PTTI) Systems and Applications Meeting. 2002: 175-192.
［3］Nunzi E,Galleani L,Tavella P,et al. Detection of anomalies in the behavior of atomic clocks［J］.IEEE Transactions On Instrumentation and Measurement,2007,56(2):523-528.
［4］Hutsell S T. Kalman filtering USNO’s GPS observations for improved time transfer predictions［R］.NASA Report,19950025901, 1995.
［5］Davis J A,Greenhall C A,Stacey P W. A Kalman filter clock algorithm for use in the presence of flicker frequency modulation noise ［C］//35th Annual Precise Time and Time Interval (PTTI) Meeting. 2004: 281-296.
［6］Greenhall C A.A Kalman filter clock ensemble algorithm that admits measurement noise: corrections and update［J］.Metrologia, 2006, 43(43):S311.
［7］Epstein M,Freed G,Rajan J.GPS-IIR rubidium clocks: in-orbit performance aspects ［C］//35th Annual Precise Time and Time Interval (PTTI) Meeting. 2004: 117-134.
［8］Phelan J,Dass T,Freed G,et al.GPS Block IIR Clocks in Space: Current Performance and Plans for the Future［J］. IEEE International Frequency Control Symposium,2005: 19-25.
［9］马凤鸣. 时间频率计量［M］.北京:中国计量出版社,2009.
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