Research on Realization Methods of Gaussian System

The approximate realization methods of system with Gaussian characteristics for inductive micro-displacement sensors were studied in this paper. It was assumed that the sensors used were the first-order systems, for such sensors, it was first proved that cascaded systems formed by an infinite number of first-order systems, its characteristics will infinitely approximate to be those of the Gaussian system. In other words, the cascaded system of a finite number of the first-order systems which have the same characteristics is a Gaussian approximation system. This law can also be applied to the second-order systems, and to the first-order and second-order mixed systems. Theoretical analysis shows that the maximum deviation of Gaussian approximation that 16 cascaded first-order systems is 1.4%, and the maximum deviation of the Gaussian approximation that 16 cascaded second-order systems is 0.1%. This law provided a theoretical guidance for the design of the Gaussian system, which makes the application of the Gaussian system for the geometric multi-probe measurement system to be easy and possible.