Geodesic
An algorithm for estimating the signal frequency at the output of a channel with a controlled information flow under phase noise conditions
Modelirovanie i analiz informacionnyh sistem, Tome 28 (2021) no. 4, pp. 452-461.

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Research in the field of efficient frequency estimation algorithms is of great interest. The reason for this is the redistribution of the role of additive and phase noise in many modern radio-engineering applications. An example is the area of measuring radio devices, which usually operate at high signal-to-noise ratios (SNR). The estimation error is largely determined not by the broadband noise, but by the frequency and phase noise of the local oscillators of the receiving and transmitting devices. In particular, earlier works [1] proposed an efficient computational algorithm for estimating the frequency of a quasi-harmonic signal based on the iterative calculation of the autocorrelation sequence (ACS). In [2], this algorithm was improved and its proximity to the Rao-Cramer boundary was shown (the sources of this noise are master oscillators and frequency synthesizers). Possibilities of frequency estimation in radio channels make it possible to significantly expand the functionality of the entire radio network. This can include, for example, the problem of adaptive distribution of information flows of a radio network. This also includes the tasks of synchronization and coherent signal processing. For these reasons, more research is needed on this algorithm, the calculation of theoretical boundaries and their comparison with the simulation results.
Keywords: Rao-Cramer boundary, autocorrelation function, frequency instability, Fisher information.
Mots-clés : phase noise 
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L. N. Kazakov; E. P. Kubyshkin; I. V. Lukyanov. An algorithm for estimating the signal frequency at the output of a channel with a controlled information flow under phase noise conditions. Modelirovanie i analiz informacionnyh sistem, Tome 28 (2021) no. 4, pp. 452-461. http://geodesic.mathdoc.fr/item/MAIS_2021_28_4_a8/

[1] A. A. Nikiforov, Identification and assessment of information parameters of navigation systems with code division, Thesis for the degree of candidate of technical sciences, Bauman Moscow State Technical University, 2014 (In Russian)

[2] V. G. Volkov, Y. N. Krivov, I. V. Lukyanov, “Improved frequency estimation algorithm based on iterative computation of autocorrelation sequence”, Journal of Radio Electronics, 2016, no. 10 (In Russian) http://jre.cplire.ru/jre/oct16/6/text.html

[3] A. V. Ryzhkov, V. N. Popov, Frequency synthesizers in radio communication technique, Radio and Communication, M., 1991, 264 pp. (In Russian)

[4] W. J. Riley, Handbook of frequency stability analysis, National Institute of Standards and Technology, USA, Washington, 2008

[5] D. N. Swingler, “Approximations to the Cramer-Rao lower bound on frequency estimates for complex sinusoids in the presence of sampling jitter”, Signal Processing, 48:1 (1996), 77–83 | DOI | Zbl

[6] S. M. Kay, Fundamentals of statistical signal processing: estimation theory, v. 1, Prentice Hall, Upper Sadle River, NJ, 1998, 595 pp.

[7] J. A. Barnes et al., “Characterization of frequency stability”, IEEE transactions on instrumentation and measurement, IM-20:2 (1971), 105–120 | DOI

[8] A. Tretter, “Estimating the frequency of a noisy sinusoid by linear regression”, IEEE Transactions on Information theory, 31:6 (1985), 832–835 | DOI

[9] S. M. Kay, “A fast and accurate single frequency estimator”, IEEE Transactions on Acoustics, Speech, and Signal Processing, 37:12 (1989), 1987–1990 | DOI

[10] Y. V. Kryukov, E. V. Rogozhnikov, D. A. Pokamestov, “Phase noise model taking into account the spectral mask of frequency synthesizers and signal generators”, Bulletin of the Tomsk Polytechnic University. Information Technology, 325:5 (2014), 45–51 (In Russian)

[11] J. A. Barnes, “Atomic timekeeping and the statistics of precision signal generators”, Proceeding of the IEEE, 54:2 (1966), 207–220 | DOI