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Background and Theoretical Foundations Increasing the Stability of The Signal Frequency in Radio Engineering Systems

The article discusses the questions of improving the accuracy of estimates of the frequency of signals in a system of simultaneously and independently functioning generators. The proposed theoretical principles of increasing the accuracy of the estimates obtained is based on the use of the properties of synergy and emergence potentially inherent in such a system. These properties can be realized by simultaneously measuring the phase values of the signals at a certain time interval and subsequent processing. It is shown that the manifestation of the synergistic property in a system of simultaneously and independently operating generators makes it possible to reduce the error in estimating random fluctuations in the frequency of generators, and the manifestation of the emergence property makes it possible to exclude a constant frequency shift from the nominal value. The conditions for obtaining unbiased effective estimates of the frequency of each of the generators 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, confirming the correctness of the theoretical results obtained and the main patterns noted.