Optimal Calibration Interval in Case of Integrated Brownian Behavior: The Example of a Rubidium Frequency Standard

Abstract

In this paper, two different techniques are considered in order to determine the optimal calibration interval: the intervals that are obtained using a mathematical model and those that are calculated with an iterative technique referred to as a simple response method. It is shown that both techniques provide useful information for an accurate calibration of a rubidium frequency standard. The authors have chosen this example because the degradation of its calibration condition can be modeled by the use of a quite complex stochastic process called the integrated Brownian motion, which is also of interest in other different contexts. The rubidium frequency standard is diffused in industrial calibration laboratories