References
V. M. Shakhgil’dyan and A. A. Lyakhovkin, Phase-Locked Loops (Svyaz’, Moscow, 1972) [in Russian].
R. E. Best, Phase-Locked Loops: Design, Simulation, and Application (McGraw-Hill, New York, 2003).
G. A. Leonov, Autom. Remote Control 67(10), 1573–1609 (2006).
G. A. Leonov and N. V. Kuznetsov, Nonlinear Mathematical Models of Phase-Locked Loops: Stability and Oscillations (Cambridge Sci. Press, Cambridge, 2014).
G. A. Leonov, Dokl. Math. 78(1), 643–645 (2008).
G. A. Leonov, N. V. Kuznetsov, and S. M. Seledzhi, Automation Control: Theory and Practice (In-Tech, Oslo, 2009), pp. 89–114.
A. Viterbi, Principles of Coherent Communications (McGraw-Hill, New York, 1966).
F. Gardner, Phase-Lock Techniques (Wiley, New York, 1966).
W. C. Lindsey, Synchronization Systems in Communication and Control (Prentice-Hall, Englewood Cliffs, NJ, 1972).
G. A. Leonov, N. V. Kuznetsov, M. V. Yuldahsev, and R. V. Yuldashev, IEEE Trans. Circuits Syst. II: Express Briefs 59, 633–637 (2012).
G. A. Leonov, N. V. Kuznetsov, M. V. Yuldahsev, and R. V. Yuldashev, Signal Processing 108, 124–135 (2015).
W. Rosenkranz, IEEE Trans. Commun. 30, 805–809 (1982).
A. Zygmund, Trigonometric Series (Cambridge Univ. Press, Cambridge, 1968), Vols. 1, 2.
N. N. Krylov and N. N. Bogoliubov, Introduction to Nonlinear Mechanics (Princeton Univ. Press, Princeton, 1947).
A. Samoilenko and R. Petryshyn, Multifrequency Oscillations of Nonlinear Systems (Springer, Berlin, 2004).
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Original Russian Text © G.A. Leonov, N.V. Kuznetsov, M.V. Yuldahsev, R.V. Yuldashev, 2015, published in Doklady Akademii Nauk, 2015, Vol. 461, No. 2, pp. 151–154
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Leonov, G.A., Kuznetsov, N.V., Yuldahsev, M.V. et al. Computation of the phase detector characteristic of classical PLL. Dokl. Math. 91, 246–249 (2015). https://doi.org/10.1134/S1064562415020118
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DOI: https://doi.org/10.1134/S1064562415020118