The two-state model provides an effective description of the atomic clock noise. We present
the construction of the two-state model, which is useful to understand the statistics of clock …

This article reviews applications of the Kalman filter to atomic timing. The objectives of the
article are twofold-present diverse applications and concepts in a consistent fashion, both in …

The clock errors are modeled by stochastic differential equations (SDE) and the
relationships between the diffusion coefficients used in SDE and the Allan variance, a typical …

Performances in network-based synchronization depend on several related factors,
including the instability of local clocks, the rate at which timing information is exchanged …

Abstract The Ornstein–Uhlenbeck process is presented with its main mathematical
properties and with original results on the first crossing times in the case of two threshold …

The satellite clocks used in the BeiDou-2 satellite navigation System (BDS) are Chinese self-
developed Rb atomic clocks, and their performances and stabilities are worse than GPS and …

In this paper we use a mathematical model based on stochastic differential equations to
predict the behaviour of atomic clocks. We consider several different cases with deterministic …

This paper presents a solution for autonomous orbit determination and time synchronization
of spacecraft in Halo orbits around Lagrange points using inter-satellite links. Lagrange …

Automatic dependent surveillance-broadcast (ADS-B) is an air traffic control system in which
aircraft transmit their own information (identity, position, velocity etc.) to ground sensors for …

Quantum computing (QC) offers the ability to efficiently solve certain computational problems
which are intractable classically. Recently, most of the requirements for QC have been …