Simple Algorithm for Approximating Confidence on the Modified Allan Variance and the Time Variance

摘要

An approximating algorithm for computing equivalent degrees of freedom of the modified Allan variance and its square root, the modified Allan deviation (MVAR and MDEV), and the time variance and time deviation (TVAR and TDEV) is presented, along with an algorithm for approximating the inverse chi- squared distribution. These two algorithms allow relatively simple computations of confidence intervals on MDEV and TDEV, the latter currently used as a standard in the telecommunications industry. These algorithms enable users to present variance with confidence intervals corresponding to any useful probability for most data lengths and noise types.