One approach to signals and systems theory generalization

A group-theoretical approach is developed for treating a broad field in signal theory from a single position. It includes signal structure detection, the possibility to represent signals and their linear combinations, signals classification by a character of transformations, which are the grounds to develop unified methods for solving corresponding signal processing problems. In terms of signals representation their time-and-frequency behavior is defined, correlation-and-spectral theory is generalized, classification is fulfilled. The proposed approach is a constructive one in developing communication systems and signal sensors, subjected to Doppler effect influence and other transformations.