Abstract
The work of digital PLL is analysed. For this analysis a Markov model is used.
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References
M. I. Romanovskij, Analysis of discrete synchronization systems,Elektrosvyaz, no. 6, pp. 28–35, 1966.
M. I. Romanovskij, The dependence of the discrete synchronization system noise immunity on the phase detector characteristic form,Elektrosvyaz, no. 5, pp. 45–53, 1967.
M. I. Romanovskij, Astatic discretization of synchronization systems,Radiotekhnika, vol. 23, no. 3, pp. 31–38, 1968.
M. I. Romanovskij, A comparative study of the noise immunity of discrete synchronization systems with various auxiliary devices,Radiotekhnika, vol. 22, no. 2, pp. 97–99, 1967.
M. I. Romanovskij, Analysis of Discrete Synchronization Systems and Their Application in Digital Information Transmission, Cand. Sci. (Tech.) Diss., Moscow, 1968. M-vo svyazi SSSR, MEIS.
Kh. I. Luchanskaya, A method for digital computation of a class of discrete closed time synchronization systems,Voprosy radioelektron. Ser. TRS, no. 6, pp. 3–17, 1968.
Kh. I. Luchanskaya, Results of calculation on a digital computer of some discrete closed time synchronization systems,Voprosy radioelektron. Ser. TRS, no. 6, pp. 119–130, 1969.
V. E. Bukhviner,Discrete Systems in Phrase Radio Communication Systems, Moscow: Svyaz, 1969.
J. K. Holmes, Performance of a first-order transition sampling digital phase-locked loop using random-walk models,IEEE Trans. Commun., vol. 20, no. 2, pp. 119–131, 1972.
Gurnam S. Gill and S. C. Gupta, First-order discrete phase-locked loop with applications to demodulation of angle modulated carrier,IEEE Trans. Commun., vol. 20, no. 3, pp. 454–462, 1972.
C. N. Kelly and S. C. Gupta, The digital phase-locked loop as a near optimum FM demodulator,IEEE Trans. Commun., vol. 20, no. 3, pp. 406–411, 1972.
M. I. Zhodzishskij, Analysis of digital PLLs for harmonic signal filtering,Radiotekhn. i. Èlektron., vol. XYIII, no. 5, pp. 979–984, 1973.
V. I. Shlyapoberskij,Foundations of the Technique of Discrete Message Transmission. Moscow: Svyaz, 1972.
G. V. Yaroshevskij, Established modes in discrete time synchronization systems using two types of averaging devices,Voprosy radioelektron. Ser. TRS, no. 6, pp. 43–50, 1973.
V. V. Ginzburg and A. A. Kayatskas,Demodulator Synchronization Theory. Moscow: Svyaz, 1974.
V. V. Shakhgildyan, Ed.,Phase-Locked Loops with Elements of Discretization. Moscow: Svyaz, 1979.
M. I. Zhodzishskij, Ed.,Digital Phase-Locked Loops. Moscow: Sov. radio, 1980.
V. V. Shakhgildyan and B. P. Burdzejko, Statistical analysis of a first-order digital PLL,Radiotekhnika, vol. 34, no. 3, pp. 8–15, 1979.
P. L. Kheneken and A. Tortra,Probability Theory and Some of Its Applications. Moscow: Nauka, 1974.
V. Feller,Introduction to the Theory of Probabilities and Its Applications, Pt I. Moscow: Mir, 1967.
V. N. Belykh and V. P. Maksakov, The dynamics of a primitive discrete phase-locked loop,Radiotekhn. i Èlektron., vol. XXI, no. 10, pp. 2155–2163, 1976.
A. D. Ventsel,A Course in Random Process Theory. Moscow: Nauka, 1975.
R. Z. Khasminskij,Stability of Sets of Differential Equations at Random Parametric Disturbances. Moscow: Nauka, 1969.
B. P. Burdzejko and V. V. Shakhgildyan, Stationary and periodic modes in cyclic random-walk models for primitive PLLs,Radiotekhn. i. Èlektron., vol. XXIV, no. 9, pp. 1796–1805, 1979.
F. R. Gantmakher,Theory of Matrices. Moscow: Nauka, 1966.
V. V. Shahgildyan and L. N. Belustina, Eds.,Phase Synchronization Systems. Moscow: Radio i svyaz, 1982.
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Shakhgildyan, V.V., Burdzejko, B.P. Analysis of a digital PLL Markov model. Circuits Systems and Signal Process 8, 467–486 (1989). https://doi.org/10.1007/BF01599768
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DOI: https://doi.org/10.1007/BF01599768