Special functions for the extended calibration of charge-mode accelerometers.

In this paper, we propose a new procedure for the extended calibration of charge-mode accelerometers. This procedure covers two main stages. The first one follows the general guidelines of international guides that relate to calibrating accelerometers in the frequency domain and are implemented using a weighted-least-squares method. These guidelines are modified herein for the advanced modelling of the charge-mode accelerometer. The second stage provides a new solution which is an extension of the standard calibration using the upper bound of the dynamic error (UBDE) according to the integer-square criterion and a fixed-point algorithm that enables this error to be determined. Additionally, the special functions, representing the values of the dynamic error for the predetermined ranges of the parameters associated with the mathematical model of the charge-mode accelerometer, are determined. Such functions ensure an easy and rapid execution of the second stage of calibration without conducting complicated procedures to determine the value of the UBDE. The extended procedure proposed here enables the comparison of accelerometers with similar technical parameters, but produced by different manufacturers of measuring sensors that frequently compete with each other. In this way, we can select the accelerometer that will produce the lower value of UBDE. [ABSTRACT FROM AUTHOR]