A clock steering method: using a third-order type 3 DPLL equivalent to a Kalman filter with a delay

In this paper we propose a new clock steering method, which uses a third-order type 3 digital phase locked loop (DPLL) which is equivalent to a Kalman filter with a delay. A general overview of the theoretical framework is described in detail including the transfer functions, the structure and control values, the specifications, and the approach to choosing a parameter. Simulations show that the performance of the time and frequency steering errors and the frequency stability are quite desirable. Comparing with traditional clock steering methods, it is easier to work with just one parameter. The DPLL method satisfies the requirements of generating a local representation of universal time coordinated and the system time of a global navigation satellite system.

[1]  Peter V Tryon,et al.  Estimating Time From Atomic Clocks. , 1983, Journal of research of the National Bureau of Standards.

[2]  Peter F. Driessen DPLL bit synchronizer with rapid acquisition using adaptive Kalman filtering techniques , 1994, IEEE Trans. Commun..

[3]  N. Kasdin Discrete simulation of colored noise and stochastic processes and 1/fα power law noise generation , 1995, Proc. IEEE.

[4]  P. Koppang,et al.  Linear quadratic stochastic control of atomic hydrogen masers , 1999, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[5]  Ara Patapoutian On phase-locked loops and Kalman filters , 1999, IEEE Trans. Commun..

[6]  Floyd M. Gardner,et al.  Phaselock Techniques: Gardner/Phaselock Techniques , 2005 .

[7]  N. Koshelyaevsky,et al.  UTC(SU) steering time scale current status and further improvements , 2006, Proceedings of the 20th European Frequency and Time Forum.

[8]  P. M. Mbaye,et al.  Composite clock including a Cs clock, a H-maser clock and a VCO. , 2007 .

[9]  Seung-Woo Lee,et al.  A new approach for steering UTC(KRIS) , 2008, CPEM 2008.

[10]  Patrizia Tavella,et al.  Statistical and mathematical tools for atomic clocks , 2008 .

[11]  W. Riley,et al.  Handbook of frequency stability analysis , 2008 .

[12]  P Tavella,et al.  Atomic clock prediction based on stochastic differential equations , 2008 .

[13]  C. Plantard,et al.  Composite clock: a new algorithm for servoing a VCO firstly to a hydrogen maser clock and then to a caesium clock , 2008 .

[14]  Marcello Farina,et al.  Control of clock signals , 2009, J. Frankl. Inst..

[15]  Seung Woo Lee,et al.  Real-time formation of a time scale using GPS carrier-phase time transfer network , 2009 .

[16]  C. Plantard,et al.  Composite clock including a Cs clock, an H-Maser clock, and a voltage-controlled oscillator , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  M Farina,et al.  A control theory approach to clock steering techniques , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[18]  R. Billson,et al.  Simultaneous gravity and gradient measurements from a recoil-compensated absolute gravimeter , 2011 .

[19]  J. A. Davis,et al.  A Kalman filter UTC(k) prediction and steering algorithm , 2011, 2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS) Proceedings.

[20]  Peter Whibberley,et al.  Local representations of UTC in national laboratories , 2011 .

[21]  Ren Ye,et al.  An algorithm with periodic item for steering UTC(NTSC) to UTC , 2013, 2013 Joint European Frequency and Time Forum & International Frequency Control Symposium (EFTF/IFC).

[22]  Guangfu Sun,et al.  Uncertainty Derivation and Performance Analyses of Clock Prediction Based on Mathematical Model Method , 2015, IEEE Transactions on Instrumentation and Measurement.