Abstract
To obtain reliable information from data under the limitations of measuring interval and/or sampling number, it becomes necessary to take the dynamic characteristics into account and fully utilize the transient output of a measuring instrument.
This paper studies, from the above viewpoint, a new measuring method of data processing method for the case of certain measuring process contaminated with correlated noises. And the error theory is extended for evaluating the measured values obtained by that measuring process, and for giving some suggestions on the measurement programming.
As computational examples for the measuring instrument described as a first order system, the relations are illustrated between the variance of error of the measured value and certain parameters, such as the time constant of measuring instrument, sampling number, measuring interval, and sampling times.
With correlated noises, the variance of error of the measured value does not decrease to zero for a finite measuring interval and/or sampling number.
It is recommended that the dynamic characteristics of the measuring instrument and sampling times should be determined based on the nature of the noise sources.
