Studies on Dynamic Measurement Method of Mass and Weight : Part 3, Statistical Characteristics of the Measured Value Obtained Via "Dynamic Weighing Method-B"

Abstract

The asymptotic properties (the unbiasedness as time t→∞ and the consistency) of the measured value are theoretically investigated, introducing a noisy mathematical model of weighing system. The result shows that both the unbiasedness and the consistency are guaranteed in case of the system model of displacement pick-up type, but none of them are guaranteed in case of velocity pick-up type. From the result of computer simulation concerning the transient characteristics (transient behaviors of the mean value and the standard deviation), however, the velocity pick-up type is concluded to be better implementation of"Dynamic Weighing Method-B"than the displacement pick-up type, though its asymptotic properties are inferior to those of the latter. The reasonableness is also confirmed of setting the estimation point at about half the natural period of scale.