A New Reliability Measure for Dynamic Surveying Systems and Its Applications in Dynamic System Quality Control

Minghai Jia, Chris Rizos and Xiaoli Ding

Abstract:	The important difference between a static surveying system (SSS) and a dynamic surveying system (DSS) is the inclusion of the state equations, besides the observation equations, in DSS models. The state equations reflect the operating characteristics of a DSS. Therefore, the reliability measures of a DSS should ideally be able to describe the ability of the system for the detection and identification of blunders (gross errors) in both of the state and the observation models. In this paper, the redundancy numbers and their distribution in DSS are employed as the reliability measures of DSS models. It is proved through both theoretical derivations and numerical examples, (1) that both the observations and the predicted state parameters contribute to the redundancy, hence to the reliability of a DSS; (2) that the amount of the redundancy contribution depends on many factors, including the state transition matrix, the number of state parameters, the state noise, the observation matrix, the number and type of observations, the observation noise and the data sampling rate; and (3) that the sum of the redundancy numbers of a DSS equals the number of observations in a DSS. The concept of internal and external reliability is also extended from SSS to DSS. For comparison, the relationships between the redundancy numbers and other reliability measures, including the minimum detectable errors in a system and admissibility, are established. The analysis shows that the redundancy numbers are, as a measure of reliability, more convenient and concise than the existing measures. Two examples are included to support the proposed reliability measure and to illustrate the relationships between the various reliability measures.
Published in:	Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996) September 17 - 20, 1996 Kansas City, MO
Pages:	1215 - 1223
Cite this article:	Jia, Minghai, Rizos, Chris, Ding, Xiaoli, "A New Reliability Measure for Dynamic Surveying Systems and Its Applications in Dynamic System Quality Control," Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996), Kansas City, MO, September 1996, pp. 1215-1223.
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