A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis

Research output

17 Citations (Scopus)

Abstract

© 2015 American Automatic Control Council. Rigorous nonlinear analysis of the physical model of Costas loop - a classic phase-locked loop (PLL) based circuit for carrier recovery, is a challenging task. Thus for its analysis, simplified mathematical models and numerical simulation are widely used. In this work a short survey on nonlinear models of the BPSK Costas loop, used for pre-design and post-design analysis, is presented. Their rigorous derivation and limitations of classic analysis are discussed. It is shown that the use of simplified mathematical models, and the application of non rigorous methods of analysis (e.g., simulation and linearization) may lead to wrong conclusions concerning the performance of the Costas loop physical model.
Original languageEnglish
Title of host publicationA short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis
Pages1296-1302
DOIs
Publication statusPublished - 2015

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Mathematical models
Nonlinear analysis
Phase locked loops
Linearization
Recovery
Networks (circuits)
Computer simulation

Cite this

Best, R. E., Kuznetsov, N. V., Kuznetsova, O. A., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2015). A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. In A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis (pp. 1296-1302) https://doi.org/10.1109/ACC.2015.7170912
Best, R.E. ; Kuznetsov, N.V. ; Kuznetsova, O.A. ; Leonov, G.A. ; Yuldashev, M.V. ; Yuldashev, R.V. / A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. 2015. pp. 1296-1302
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Best, RE, Kuznetsov, NV, Kuznetsova, OA, Leonov, GA, Yuldashev, MV & Yuldashev, RV 2015, A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. in A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. pp. 1296-1302. https://doi.org/10.1109/ACC.2015.7170912

A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. / Best, R.E.; Kuznetsov, N.V.; Kuznetsova, O.A.; Leonov, G.A.; Yuldashev, M.V.; Yuldashev, R.V.

A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. 2015. p. 1296-1302.

Research output

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N2 - © 2015 American Automatic Control Council. Rigorous nonlinear analysis of the physical model of Costas loop - a classic phase-locked loop (PLL) based circuit for carrier recovery, is a challenging task. Thus for its analysis, simplified mathematical models and numerical simulation are widely used. In this work a short survey on nonlinear models of the BPSK Costas loop, used for pre-design and post-design analysis, is presented. Their rigorous derivation and limitations of classic analysis are discussed. It is shown that the use of simplified mathematical models, and the application of non rigorous methods of analysis (e.g., simulation and linearization) may lead to wrong conclusions concerning the performance of the Costas loop physical model.

AB - © 2015 American Automatic Control Council. Rigorous nonlinear analysis of the physical model of Costas loop - a classic phase-locked loop (PLL) based circuit for carrier recovery, is a challenging task. Thus for its analysis, simplified mathematical models and numerical simulation are widely used. In this work a short survey on nonlinear models of the BPSK Costas loop, used for pre-design and post-design analysis, is presented. Their rigorous derivation and limitations of classic analysis are discussed. It is shown that the use of simplified mathematical models, and the application of non rigorous methods of analysis (e.g., simulation and linearization) may lead to wrong conclusions concerning the performance of the Costas loop physical model.

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BT - A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis

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Best RE, Kuznetsov NV, Kuznetsova OA, Leonov GA, Yuldashev MV, Yuldashev RV. A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. In A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. 2015. p. 1296-1302 https://doi.org/10.1109/ACC.2015.7170912