### Abstract

The Costas loop is a modification of the phase-locked loop circuit, which demodulates data and recovers carrier from the input signal. The Costas loop is essentially a nonlinear control system and its nonlinear analysis is a challenging task. Thus, simplified mathematical models and their numerical simulation are widely used for its analysis. At the same time for phase-locked loop circuits there are known various examples where the results of such simplified analysis are differ substantially from the real behavior of the circuit. In this survey the corresponding problems are demonstrated and discussed for the QPSK Costas loop.

Original language | English |
---|---|

Pages (from-to) | 6525-6533 |

Number of pages | 9 |

Journal | IFAC-PapersOnLine |

Volume | 50 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jul 2017 |

### Scopus subject areas

- Control and Systems Engineering

### Cite this

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*IFAC-PapersOnLine*, vol. 50, no. 1, pp. 6525-6533. https://doi.org/10.1016/j.ifacol.2017.08.598

**A short survey on nonlinear models of QPSK Costas loop.** / Kuznetsov, N. V.; Kuznetsova, O. A.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.

Research output › › peer-review

TY - JOUR

T1 - A short survey on nonlinear models of QPSK Costas loop

AU - Kuznetsov, N. V.

AU - Kuznetsova, O. A.

AU - Leonov, G. A.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The Costas loop is a modification of the phase-locked loop circuit, which demodulates data and recovers carrier from the input signal. The Costas loop is essentially a nonlinear control system and its nonlinear analysis is a challenging task. Thus, simplified mathematical models and their numerical simulation are widely used for its analysis. At the same time for phase-locked loop circuits there are known various examples where the results of such simplified analysis are differ substantially from the real behavior of the circuit. In this survey the corresponding problems are demonstrated and discussed for the QPSK Costas loop.

AB - The Costas loop is a modification of the phase-locked loop circuit, which demodulates data and recovers carrier from the input signal. The Costas loop is essentially a nonlinear control system and its nonlinear analysis is a challenging task. Thus, simplified mathematical models and their numerical simulation are widely used for its analysis. At the same time for phase-locked loop circuits there are known various examples where the results of such simplified analysis are differ substantially from the real behavior of the circuit. In this survey the corresponding problems are demonstrated and discussed for the QPSK Costas loop.

KW - nonlinear analysis

KW - phase-locked loop

KW - PLL

KW - QPSK Costas loop

KW - simulation

UR - http://www.scopus.com/inward/record.url?scp=85031819274&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.598

DO - 10.1016/j.ifacol.2017.08.598

M3 - Article

VL - 50

SP - 6525

EP - 6533

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

ER -