The Computation of Time Difference Error Probabilities,

摘要

In many naval systems position is estimated from multiple time differences. System accuracy is thus dependent on the errors in these quantities. Time differences, however, are not quantities for which adequate error information is generally available or readily ascertained experimentally. Instead, it is derived from a knowledge of the errors in the component times from which the differences are formed. In this research contribution, a formal treatment of the time yield time difference transformation is developed for the case where differences are formed with respect to a single time. The effect of changing this reference is investigated and expressions for computing error probabilities for multiple time differences are derived under conditions related to current applications. (Author)