Cheng Weiwei, Nie Guigen
GNSS (Global Navigation Satellite System) Research Center, Wuhan University, 129 Luoyu Road, 430079 Wuhan, China.
Collaborative Innovation Center for Geospatial Information Technology, Wuhan University, 129 Luoyu Road, 430079 Wuhan, China.
Sensors (Basel). 2018 Feb 7;18(2):502. doi: 10.3390/s18020502.
High-performance oscillators, atomic clocks for instance, are important in modern industries, finance and scientific research. In this paper, the authors study the estimation and prediction of long-term stability based on convex optimization techniques and compressive sensing. To take frequency drift into account, its influence on Allan and modified Allan variances is formulated. Meanwhile, expressions for the expectation and variance of discrete-time Hadamard variance are derived. Methods that reduce the computational complexity of these expressions are also introduced. Tests against GPS precise clock data show that the method can correctly predict one-week frequency stability from 14-day measured data.
高性能振荡器,例如原子钟,在现代工业、金融和科学研究中至关重要。在本文中,作者基于凸优化技术和压缩感知研究了长期稳定性的估计和预测。为了考虑频率漂移,阐述了其对阿仑方差和修正阿仑方差的影响。同时,推导了离散时间哈达玛方差的期望和方差表达式。还介绍了降低这些表达式计算复杂度的方法。针对GPS精确时钟数据的测试表明,该方法能够从14天的测量数据中正确预测一周的频率稳定性。