Analysis of redundant systems with random parameters and multiple noisy inputs

This paper establishes a mathematical model and a methodology for analyzing the statistical performance of redundant sensor systems. The particular problem of primary interest is the development of procedures for estimating the expected number of false trips in a mission. The general methods, however, are suitable for a wide variety of applications, including single-string designs. Considered here are the effects of various noise sources and the statistical variations caused by the allowed tolerances on the system parameters.