Системний аналіз – засіб обґрунтування математичної моделі досліджуваного об'єкта як системи

Abstract

The constructive and concise treatment of the modern signal theory – concepts, mathematical tools and interpretation by representations, transformations and characterization of signals (deterministic and stochastic) is given. It is based on the previously formulated energy concept and the results of the system analysis of stochastic signals theory. According to cognitive property, which is one of today's definition feature of the system, the signals transferred to the recorder and converter data (message about it), which are sufficient grounds for the formation from them after due processing (giving them the desired shape) information to determine the state of the investigated object which is treated as a system and to make decisions about it in diagnosis and management problems. Consideration of both systems and signals is based on the representation them by linear models with emphasis on harmonic-spectral analysis and invariant converters.