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Algorithm for Distinguishing and Evaluating Derivatives of the Frequency Function of Highly Stable Master Generators Signals

Transactions of IAA RAS, issue 72, 33–36 (2025)

Keywords: digital signal processing, sampling of narrowband radio signal, phase fluctuations, frequency and time standard, maximum likelihood method, complex radio signal

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Abstract

Maintaining the stability of the nominal frequency of the master generators signals is an integral task of means of any purpose synchronization of radio engineering systems. The paper considers the development of the frequency stabilization method previously proposed by the author. The algorithm is based on the property of multiplying the spectrum of a narrow-band signal subjected to time sampling. The purpose of the work is to substantiate the possibility of improving the parametric stability of signals of quantum frequency standards during their autonomous operation without using a reference signal. It is shown that with the synchronous analog-to-digital conversion in the two channels (the fundamental frequency and the divided frequency channel) random frequency fluctuations are correlated, but with significantly different intensity. These features make it possible to develop an algorithm for detecting frequency derivatives of signals of self-oscillating systems. High accuracy is achieved by using the maximum likelihood method to estimate the phase difference of complex signals in channels. The possibility of achieving constructive results from the application of this method is illustrated by the example of the synthesis of a self-regulating frequency and time standard. The relatively low computational complexity of the algorithm makes it possible to generate a feedback signal to correct the frequency of the standard signal in real time. The avilability of a large degree of integration of microchips on the market, the integrated circuits of radio frequency modules (AD9874, 1321HD1U), in particular, makes it possible to implement the proposed method without significantly increasing hardware costs.

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V. A. Karelin. Algorithm for Distinguishing and Evaluating Derivatives of the Frequency Function of Highly Stable Master Generators Signals // Transactions of IAA RAS. — 2025. — Issue 72. — P. 33–36.

@article{karelin2025,
  abstract = {Maintaining the stability of the nominal frequency of the master generators signals is an integral task of means of any purpose synchronization of radio engineering systems. The paper considers the development of the frequency stabilization method previously proposed by the author. The algorithm is based on the property of multiplying the spectrum of a narrow-band signal subjected to time sampling.
The purpose of the work is to substantiate the possibility of improving the parametric stability of signals of quantum frequency standards during their autonomous operation without using a reference signal. It is shown that with the synchronous analog-to-digital conversion in the two channels (the fundamental frequency and the divided frequency channel) random frequency fluctuations are correlated, but with significantly different intensity. These features make it possible to develop an algorithm for detecting frequency derivatives of signals of self-oscillating systems. High accuracy is achieved by using the maximum likelihood method to estimate the phase difference of complex signals in channels. The possibility of achieving constructive results from the application of this method is illustrated by the example of the synthesis of a self-regulating frequency and time standard. The relatively low computational complexity of the algorithm makes it possible to generate a feedback signal to correct the frequency of the standard signal in real time. The avilability of a large degree of integration of microchips on the market, the integrated circuits of radio frequency modules (AD9874, 1321HD1U), in particular, makes it possible to implement the proposed method without significantly increasing hardware costs.},
  author = {V.~A. Karelin},
  doi = {10.32876/ApplAstron.72.33-36},
  issue = {72},
  journal = {Transactions of IAA RAS},
  keyword = {digital signal processing, sampling of narrowband radio signal, phase fluctuations, frequency and time standard, maximum likelihood method, complex radio signal},
  pages = {33--36},
  title = {Algorithm for Distinguishing and Evaluating Derivatives of the Frequency Function of Highly Stable Master Generators Signals},
  url = {http://iaaras.ru/en/library/paper/2209/},
  year = {2025}
}

TY  - JOUR
TI  - Algorithm for Distinguishing and Evaluating Derivatives of the Frequency Function of Highly Stable Master Generators Signals
AU  - Karelin, V. A.
PY  - 2025
T2  - Transactions of IAA RAS
IS  - 72
SP  - 33
AB  - Maintaining the stability of the nominal frequency of the master
generators signals is an integral task of means of any purpose
synchronization of radio engineering systems. The paper considers the
development of the frequency stabilization method previously proposed
by the author. The algorithm is based on the property of multiplying
the spectrum of a narrow-band signal subjected to time sampling.  The
purpose of the work is to substantiate the possibility of improving
the parametric stability of signals of quantum frequency standards
during their autonomous operation without using a reference signal.
It is shown that with the synchronous analog-to-digital conversion in
the two channels (the fundamental frequency and the divided frequency
channel) random frequency fluctuations are correlated, but with
significantly different intensity. These features make it possible to
develop an algorithm for detecting frequency derivatives of signals
of self-oscillating systems. High accuracy is achieved by using the
maximum likelihood method to estimate the phase difference of complex
signals in channels. The possibility of achieving constructive
results from the application of this method is illustrated by the
example of the synthesis of a self-regulating frequency and time
standard. The relatively low computational complexity of the
algorithm makes it possible to generate a feedback signal to correct
the frequency of the standard signal in real time. The avilability of
a large degree of integration of microchips on the market, the
integrated circuits of radio frequency modules (AD9874, 1321HD1U), in
particular, makes it possible to implement the proposed method
without significantly increasing hardware costs.
DO  - 10.32876/ApplAstron.72.33-36
UR  - http://iaaras.ru/en/library/paper/2209/
ER  -