"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 8, 2019

contents of issue      DOI  10.30898/1684-1719.2019.8.2     full text in Russian (pdf)  

UDC 621.396. 6

The emergence property in a system of independently functioning generators using the method of statistical frequency stabilization


D. D. Gabriel’an 1, O. A. Safaryan 2

1 Federal research and production center “Rostov Scientific Institute of Radio Communication”, 344038, Rostov-on-Don, Nansen str., 130

2 Don State Technical University, 344038, Rostov-on-Don, Gagarina sq., 1


The paper is received on July 30, 2019


Abstract. The method of statistical frequency stabilization, based on the results of simultaneous measurements and statistical processing of phase deviations independently functioning N oscillators as part of a signal generator system, provides to achieve a significant increase in frequency stability. The marked increase in frequency stability is displaying of the synergy property of a system of N simultaneously and independently functioning oscillators. At the same time, in such and analogy systems, when certain conditions are occurred, the emergence property of emergence is possible.

This paper discusses the conditions for displaying emergence property in a system of simultaneously and independently functioning oscillators. It is shown that the emergence properties in this case determines:

by elimination of the biasedness of the obtained estimates, eliminate the change in the average frequency of the oscillators from the nominal value;

‑ due to the preservation of the asymptotic efficiency and consistency of the obtained estimates to ensure close to the potentially achievable frequency stability.

The results of numerical simulation confirm the results of theoretical studies.

The results of the research allow us to conclude that the joint processing of phase deviations of signals in the system simultaneously and independently functioning generators can reduce the frequency deviation and relative instability of the generators under the influence of external factors (temperature, voltage and other influences).

Keywords: high-frequency oscillators, statistical method of frequency stabilization, synergy, emergence, frequency stability.


1. Starikov O. Phase locked loop and the principles of synthesizing high-frequency signals. Chip News. Engineering Micro-electronics. 2001. No 6. (In Russian)

2. Patent of the Russian Federation No. 2219654: Sposob stabilizatsii chastot generatorov [The method of stabilization of oscillators frequencies]. Gabriel'yan D.D., Prygunov A.G., Hutortzev V.V., Trepachev V.V. Appl. 17 Oct. 2000. Awarded 20 Dec. 2003. (In Russian)

3. Gabriel'yan D.D., Prygunov A.A., Prygunov A.G., Safaryan O.A. Method of estimating frequencies in an oscillator system. Fizicheskie osnovy priborostroenia [Physical Fundamentals of Instrumentation], 2012, Vol. 1. No 2. pp. 72-77. (In Russian)

4. Safaryan O.A. Modeling of the process of stabilization of the frequency of generators in information and communication systems.  Vestnik DGTU [Bulletin of Don State Technical University], 2016, Vol. 16, No. 4 (87), Part 2.  pp. 150-154. (in Russian)

5. Safaryan O., Sakharov I., Boldyrikhin N., Yengibaryan I. Method of Reducing Phase Noise in the System Simultaneously and Independently Operating the High-Frequency Signal Generators.  Engineering Computations (Emerald Group Publishing Ltd), 2017. Vol.34. No.8 (2). P. 2586 – 2594.

6. Nikitin L.N. Ispytaniya i diagnostika televizionnykh sistem: ispytaniya radioelektronnoy apparatury: uchebnoye posobiye [Testing and diagnostics of television systems: testing of electronic equipment: manual]. Voronezh, Voronezh State Technical University, 2009. (In Russian)


For citation:

D. D. Gabriel’an, O. A. Safaryan. The emergence property in a system of independently functioning generators using the method of statistical frequency stabilization. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 8. Available at http://jre.cplire.ru/jre/aug19/2/text.pdf
DOI  10.30898/1684-1719.2019.8.2