Prerequisites and Theoretical Foundations of the Statistical Method of Frequency Stabilization in Information and Telecommunication Systems

The article deals with issues related to the manifestation of the properties of synergy and emergence, potentially inherent in systems with the same or similar properties of components. These properties can be used to increase the accuracy of estimates of the frequency of signals in the system of simultaneously and independently functioning oscillators. It makes possible to increase the stability of the frequency of the generated signals. To implement these properties, simultaneous measurement of signal phase values at a number of time intervals with subsequent processing using the likelihood function can be used. It is shown that the manifestation of the synergistic property in a system of simultaneously and independently operating oscillators reduces the error in estimating random fluctuations in the frequency of oscillators. The manifestation of the emergence property allows you to exclude a constant frequency shift from the nominal value. The conditions for obtaining unbiased effective estimates of the frequency of each of the oscillators are formulated. It is noted that from a physical point of view, an increase in the accuracy of estimating the frequency of signals corresponds to multiple non-precision indirect measurements. The results of mathematical modeling are presented