Although there are presently no international standards for the measurement or reporting of position sensor performance, this article is aligned with the definitions and methods reported in the ISO/IEC 98:1993 Guide to the Expression of Uncertainty in Measurement [5], and the ISO 5723 Standard on Accuracy (Trueness and Precision) of Measurement Methods and Results [6].The noise and resolution of a position sensor is potentially one of the most misreported sensor characteristics. The resolution is commonly reported without mention of the bandwidth or statistical definition and thus has little practical value. To improve the understanding of this issue, the relevant theory of stochastic processes
is reviewed in Section 2. The variance is then utilized to define a concise statistical description of the resolution, which is a
straight-forward function of the noise density, bandwidth, and 1/f corner frequency.