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Tutorial on dynamic analysis of the Costas loop. / Best, R. E.; Kuznetsov, N. V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.

In: Annual Reviews in Control, Vol. 42, 01.01.2016, p. 27-49.

Research output: Contribution to journal › Review article › peer-review

Harvard

Best, RE, Kuznetsov, NV, Leonov, GA, Yuldashev, MV & Yuldashev, RV 2016, 'Tutorial on dynamic analysis of the Costas loop', Annual Reviews in Control, vol. 42, pp. 27-49. https://doi.org/10.1016/j.arcontrol.2016.08.003

APA

Best, R. E., Kuznetsov, N. V., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2016). Tutorial on dynamic analysis of the Costas loop. Annual Reviews in Control, 42, 27-49. https://doi.org/10.1016/j.arcontrol.2016.08.003

Vancouver

Best RE, Kuznetsov NV, Leonov GA, Yuldashev MV, Yuldashev RV. Tutorial on dynamic analysis of the Costas loop. Annual Reviews in Control. 2016 Jan 1;42:27-49. https://doi.org/10.1016/j.arcontrol.2016.08.003

Author

Best, R. E. ; Kuznetsov, N. V. ; Leonov, G. A. ; Yuldashev, M. V. ; Yuldashev, R. V. / Tutorial on dynamic analysis of the Costas loop. In: Annual Reviews in Control. 2016 ; Vol. 42. pp. 27-49.

BibTeX

@article{eb0ded01567548219508d82a56c6dcb0,
title = "Tutorial on dynamic analysis of the Costas loop",
abstract = "Costas loop is a classical phase-locked loop (PLL) based circuit for carrier recovery and signal demodulation. The PLL is an automatic control system that adjusts the phase of a local signal to match the phase of the input reference signal. This tutorial is devoted to the dynamic analysis of the Costas loop. In particular the acquisition process is analyzed. Acquisition is most conveniently described by a number of frequency and time parameters such as lock-in range, lock-in time, pull-in range, pull-in time, and hold-in range. While for the classical PLL equations all these parameters have been derived (many of them are approximations, some even crude approximations), this has not yet been carried out for the Costas loop. It is the aim of this analysis to close this gap. The paper starts with an overview on mathematical and physical models (exact and simplified) of the different variants of the Costas loop. Then equations for the above mentioned key parameters are derived. Finally, the lock-in range of the Costas loop for the case where a lead-lag filter is used for the loop filter is analyzed.",
keywords = "Costas loop, Hold-in range, Lock-in range, Nonlinear analysis, PLL-based circuits, Pull-in range, Simulation",
author = "Best, {R. E.} and Kuznetsov, {N. V.} and Leonov, {G. A.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1016/j.arcontrol.2016.08.003",
language = "English",
volume = "42",
pages = "27--49",
journal = "Annual Reviews in Control",
issn = "1367-5788",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Tutorial on dynamic analysis of the Costas loop

AU - Best, R. E.

AU - Kuznetsov, N. V.

AU - Leonov, G. A.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Costas loop is a classical phase-locked loop (PLL) based circuit for carrier recovery and signal demodulation. The PLL is an automatic control system that adjusts the phase of a local signal to match the phase of the input reference signal. This tutorial is devoted to the dynamic analysis of the Costas loop. In particular the acquisition process is analyzed. Acquisition is most conveniently described by a number of frequency and time parameters such as lock-in range, lock-in time, pull-in range, pull-in time, and hold-in range. While for the classical PLL equations all these parameters have been derived (many of them are approximations, some even crude approximations), this has not yet been carried out for the Costas loop. It is the aim of this analysis to close this gap. The paper starts with an overview on mathematical and physical models (exact and simplified) of the different variants of the Costas loop. Then equations for the above mentioned key parameters are derived. Finally, the lock-in range of the Costas loop for the case where a lead-lag filter is used for the loop filter is analyzed.

AB - Costas loop is a classical phase-locked loop (PLL) based circuit for carrier recovery and signal demodulation. The PLL is an automatic control system that adjusts the phase of a local signal to match the phase of the input reference signal. This tutorial is devoted to the dynamic analysis of the Costas loop. In particular the acquisition process is analyzed. Acquisition is most conveniently described by a number of frequency and time parameters such as lock-in range, lock-in time, pull-in range, pull-in time, and hold-in range. While for the classical PLL equations all these parameters have been derived (many of them are approximations, some even crude approximations), this has not yet been carried out for the Costas loop. It is the aim of this analysis to close this gap. The paper starts with an overview on mathematical and physical models (exact and simplified) of the different variants of the Costas loop. Then equations for the above mentioned key parameters are derived. Finally, the lock-in range of the Costas loop for the case where a lead-lag filter is used for the loop filter is analyzed.

KW - Costas loop

KW - Hold-in range

KW - Lock-in range

KW - Nonlinear analysis

KW - PLL-based circuits

KW - Pull-in range

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=84995554955&partnerID=8YFLogxK

U2 - 10.1016/j.arcontrol.2016.08.003

DO - 10.1016/j.arcontrol.2016.08.003

M3 - Review article

AN - SCOPUS:84995554955

VL - 42

SP - 27

EP - 49

JO - Annual Reviews in Control

JF - Annual Reviews in Control

SN - 1367-5788

ER -

ID: 52006830