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Mathematical models of the Costas loop. / Leonov, G. A.; Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.

In: Doklady Mathematics, Vol. 92, No. 2, 01.09.2015, p. 594-598.

Research output: Contribution to journal › Article › peer-review

Harvard

Leonov, GA, Kuznetsov, NV, Yuldashev, MV & Yuldashev, RV 2015, 'Mathematical models of the Costas loop', Doklady Mathematics, vol. 92, no. 2, pp. 594-598. https://doi.org/10.1134/S1064562415050270, https://doi.org/10.1134/S1064562415050270

APA

Leonov, G. A., Kuznetsov, N. V., Yuldashev, M. V., & Yuldashev, R. V. (2015). Mathematical models of the Costas loop. Doklady Mathematics, 92(2), 594-598. https://doi.org/10.1134/S1064562415050270, https://doi.org/10.1134/S1064562415050270

Vancouver

Leonov GA, Kuznetsov NV, Yuldashev MV, Yuldashev RV. Mathematical models of the Costas loop. Doklady Mathematics. 2015 Sep 1;92(2):594-598. https://doi.org/10.1134/S1064562415050270, https://doi.org/10.1134/S1064562415050270

Author

Leonov, G. A. ; Kuznetsov, N. V. ; Yuldashev, M. V. ; Yuldashev, R. V. / Mathematical models of the Costas loop. In: Doklady Mathematics. 2015 ; Vol. 92, No. 2. pp. 594-598.

BibTeX

@article{a596f0a3a3db4b6694c813d95e0e4825,
title = "Mathematical models of the Costas loop",
abstract = "The Costas loop circuit was invented in the 1950s. It is widely used for carrier recovery and demodulation. A rigorous nonlinear analysis of the Costas loop circuit is a complicated task, so engineers frequently use simplified mathematical models and numerical simulation. It is shown that the analysis of a simplified model of the classical Costas loop without justification can lead to wrong conclusions on the dynamics of the circuit. A nonlinear model of the classical Costas loop is derived and rigorously justified on the basis of the averaging method.",
author = "Leonov, {G. A.} and Kuznetsov, {N. V.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
note = "Publisher Copyright: {\textcopyright} 2015, Pleiades Publishing, Ltd.",
year = "2015",
month = sep,
day = "1",
doi = "10.1134/S1064562415050270",
language = "English",
volume = "92",
pages = "594--598",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Mathematical models of the Costas loop

AU - Leonov, G. A.

AU - Kuznetsov, N. V.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

N1 - Publisher Copyright: © 2015, Pleiades Publishing, Ltd.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - The Costas loop circuit was invented in the 1950s. It is widely used for carrier recovery and demodulation. A rigorous nonlinear analysis of the Costas loop circuit is a complicated task, so engineers frequently use simplified mathematical models and numerical simulation. It is shown that the analysis of a simplified model of the classical Costas loop without justification can lead to wrong conclusions on the dynamics of the circuit. A nonlinear model of the classical Costas loop is derived and rigorously justified on the basis of the averaging method.

AB - The Costas loop circuit was invented in the 1950s. It is widely used for carrier recovery and demodulation. A rigorous nonlinear analysis of the Costas loop circuit is a complicated task, so engineers frequently use simplified mathematical models and numerical simulation. It is shown that the analysis of a simplified model of the classical Costas loop without justification can lead to wrong conclusions on the dynamics of the circuit. A nonlinear model of the classical Costas loop is derived and rigorously justified on the basis of the averaging method.

UR - http://www.scopus.com/inward/record.url?scp=84946123705&partnerID=8YFLogxK

U2 - 10.1134/S1064562415050270

DO - 10.1134/S1064562415050270

M3 - Article

VL - 92

SP - 594

EP - 598

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 2

ER -

ID: 4005614