マトリックス感度理論での慣性センサの高次項について

（第７報：多軸慣性センサの標準確立に関する研究）

抄録

This report states that the dynamic sensitivity of multi-axis inertia sensors shall be defined by using matrix in the non-linear region. The previous papers tell the dynamic sensitivity in the linear region under the assumption that non-linearity can be neglected. The subject of the paper on the other hand is to show how to deal with the non-linearity. This report introduces a non-linear conversion called Maclaurin Power Transformation, in short MPT to a vector. It generates another vector with the number of components larger than the original one and with the components expressed by the power of the original components. The MPT provides the solvability condition in the non-linear region. The condition is the extension of the terms in the linear region obtained in the previous analysis and indispensable for the determination of the nonlinearity through experimental procedures. The mathematical interpretation of inertial sensors in the linear region is a mapping between the real vector space and the signal vector space. The concept of mapping holds in the non-linear region and formalized mathematically using MPT and matrix. The theory is applicable to multi-axis vector quantity measurement devices.