Synthesis of the Measuring Scale for Shape of Electrical Signals
Tadeusz Piwowarczyk
Abstract:
The paper presents an application of the linear algebra in the creation of a measuring scale for some class of multidimensional quantities. It shows how important the following two elements are: the domain of objects (signals), and the method of their comparison. In most cases when we change one of those elements or both, the sense of the measuring quantity which is to be defined also changes. The paper shows how to select a set of primary standards and how to generate a set of secondary standards. The standards are modelled by a set of vector bases, and the changed set of standards is modelled by a linear transformation by using a transient matrix. The measuring process is modelled by a linear combination, and the “zero method” by a certain linear dependence. Two scales are created in order to illustrate the above process. One for the “shape” of a steady solution, and the other for the “shape” of a transient solution, both in the RLC linear electrical circuit .
Keywords:
multidimensional quantity, domain, comparison, standards, linear combination, linear dependence, measuring scale, basis change
