Signals with a variable period and their model

Pryimak M.V. Vasylenko Y.P. Dmytrotsa L.P.

The article stresses that though some signals (empirical functions) with a variable period occur in the applied research, there is neither theory nor methods of research of such signals at present. Due to this the article is solving one of the main tasks on the way to the signals theory with a variable period development, namely a model of such signals as a function with a variable period is substantiated and some characteristics of period are considered. The analytical examples of such functions, i.e. trigonometrical functions with a variable period are given, and the formulae of their periods are derived. The received results is an important step to the development of the structural function theory with a variable period, namely the development of Fourier series theory of such functions.

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