Special signals in the calibration of systems for measuring dynamic quantities

• The review of references concerning the procedures of calibration is carried out.
• The procedure for determining the maximum errors is presented.
• The algorithm for determining the signals with one constraint is discussed.
• Maximum errors vs. number of switchings for analog filters are presented in figure.
• Switchings describing the signals maximizing the integral-square error are listed.

The determination of errors generated by systems measuring dynamically changeable signals presents a difficult problem due to their unknown shape and the measurement duration. This paper presents a proposed solution to this problem by means of the signals maximizing chosen error criterion. Thus, it refers to the commonly applied methods for determining the accuracy class of systems intended for the measurement of static quantities.The method of determining a signal with one constraint, maximizing integral-square error, is discussed in this paper in detail. As an example, four acceleration sensors are considered and the maximizing signals from the range of one to twenty-five switchings are determined. It is worth underlining that the paper presents a solution obtained by an analytical method instead of using optimization methods, the application of which is necessary in the case of signals with an increased number of constraints.