title: Nonlinear Mathematical Models of Costas Loops
metadata.name: dc.contributor.advisor
metadata.value: Kuznetsov, Nikolay V.
metadata.lang: -
metadata.name: dc.contributor.advisor
metadata.value: Leonov, Gennady A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yuldashev, Marat V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-07-30T09:55:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-07-30T09:55:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2013
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Yuldashev, Marat V. Nonlinear Mathematical Models of Costas Loops Saint Petersburg: Saint Petersburg State University, 2013, 40 p.(+included articles) Saint Petersburg State University Studies in Mathematics, Vol. 2
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: 978-5-288-05425-9
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16091
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This work is devoted to the development of nonlinear mathematical models of Costas loops. A Costas loop was invented in 1956 by John P. Costas of General Electric. Nowadays, a Costas loop is widely used in many applications including telecommunication devices, global positioning systems (GPS, GLONASS), medical
  implants, mobile phones, and other gadgets. In contrast to the phase-locked loop (PLL) based circuit, the Costas loop is designed to simultaneously perform two tasks — carrier recovery and data demodulation. The direct application of a PLL to these tasks is possible, but it is not effective, because after superimposing the transmitted data and carrier signal, frequent changes of transmitted data require that a PLL constantly adjusts
  itself. A Costas loop is designed in such a way that the transmitted data doesn’t affect transient processes and does not require frequent tuning. The requirement for simultaneous data demodulation and carrier recovery makes the
  Costas loop-based devices multi-loop, multi-channel circuits with multiple outputs.
  Also, in contrast to a PLL, the Costas loop has three non-linear elements.
  All this makes the development of non-linear models of Costas loops a difficult
  task. High-frequency signals, used in the modern devices, further complicate the
  application of analytical methods and numerical simulation. This is due to the
  fact that the transient time is greater than the signal’s periods by several orders
  of magnitude. Furthermore, the behaviour of Costas circuits greatly depends on
  the classes of signals involved. So, the development of non-linear mathematical
  models of Costas loops that allow one to facilitate the application of analytical
  methods and reduce the numerical simulation time is a relevant problem of
  the practical significance. It is this problem that is considered and solved in the
  present study.
  In this work, nonlinear mathematical models of the classic Costas loop and
  the Quadrature Phase Shift Keying (QPSK) Costas loop have been developed.
  All theoretical results are rigorously proved. An effective numerical procedure
  for the simulation of Costas loops based on the phase-detector characteristics is
  proposed.
  The results of the study have been published in 22 papers (8 of which are
  indexed in Scopus).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Saint Petersburg State University Studies in Mathematics;
metadata.lang: -
metadata.name: dc.subject
metadata.value: Costas loop
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: carrier tracking
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: GPS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: GLONASS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: PLL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: BPSK
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: QPSK Costas
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Nonlinear Mathematical Models of Costas Loops
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Thesis
metadata.lang: en_GB
resources.filename: Marat-cut.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16091/1/Marat-cut.pdf
resources.format: Adobe PDF
resources.size: 2,48 MB