Statistical Analysis and Verification of the Satellite Line of Sight Pointing Jitter

摘要

A method of statistical analysis and verification of the satellite line of sight jitter is discussed. For the case that the jitter measurement is random, the verification of jitter is achieved by estimate the probability that the jitter requirement is not met. The binary analysis method of simulation result is introduced and the miss rate which can be calculated from the result of the binary analysis is proposed for the fact that the statistical mean of the miss rate is an estimate of the probability of jitter requirement misses. The distribution of the miss rate is discussed for the purpose of estimate the statistics of miss rate. To avoid trivial simulation replications in analysis and verification, the bootstrap method is used to obtain a normally distributed miss rate sample, from which the mean miss rate and its variance can be estimated. As thus the confidence interval of miss rate is evaluated to provide a much safer verification result. The credibility and time cost of the method is discussed in case study, and an introductive example is presented to give an introduction of application of the method.