Abstract
The calibration for the traceability of acceleration has long been based on the measurement using one-axis accelerometer, the one-axis vibration table and the laser interferometer. However there has been no description on multi-axis accelerometers in conventional techniques. On the other hand, the application of multi-axis MEMS accelerometers and gyros has become remarkable these days. This paper discusses the mathematical derivation of the matrix sensitivity very precisely. Three kinds of acceleration vector spaces are introduced. The relationship between the number of axis of the accelerometer and the dimension of the calibration vector space is discussed. New classification of cross sensitivity is introduced. The concept of the matrix sensitivity is expanded and each component of the sensitivity matrix stands for a transfer function when the shock acceleration is applied. The simple numerical example shows how large the influence of cross sensitivity is in the multi-axis accelerometers. New classification of accelerometers is proposed in terms of the sensitivity.
