Nonlinear analysis of oscillator mutual injection locking through inductor coupling

This work presents an in-depth investigation of the nonlinear behavior of two mutually injection-locked oscillators through inductor coupling. An analytical formulation, solved through an innovative procedure, facilitates the understanding of the qualitative transformations in the system solutions w...

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Detalles Bibliográficos
Autores: Suárez Rodríguez, Almudena|||0000-0002-5266-5544, Ramírez Terán, Franco Ariel|||0000-0002-4188-4493, Melville, Robert
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/21104
Acceso en línea:http://hdl.handle.net/10902/21104
Access Level:acceso abierto
Palabra clave:Oscillators
Harmonic balance
Stability analysis
Phase-noise analysis
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spelling Nonlinear analysis of oscillator mutual injection locking through inductor couplingSuárez Rodríguez, Almudena|||0000-0002-5266-5544Ramírez Terán, Franco Ariel|||0000-0002-4188-4493Melville, RobertOscillatorsHarmonic balanceStability analysisPhase-noise analysisThis work presents an in-depth investigation of the nonlinear behavior of two mutually injection-locked oscillators through inductor coupling. An analytical formulation, solved through an innovative procedure, facilitates the understanding of the qualitative transformations in the system solutions when increasing the coupling factor. The analysis demonstrates that, in a manner similar to the unilaterally injection-locked oscillators, families of disconnected/connected curves are obtained when increasing this factor, although the patterns, associated with distinct operation modes, are more complex. Then, an accurate numerical method to predict the behavior of coupled transistor-based oscillators is presented, based on nonlinear admittance models of the individual oscillators. Mathematical conditions are derived to solve the coupled system through a two-level contour-intersection technique. In this way, all the solutions coexisting for a given set of element and parameter values are calculated simultaneously, in an exhaustive manner. The cases of two coupled oscillators at the fundamental frequency and at 1:3 frequency ratio are considered. Possible applications include the oscillator phase-noise reduction and the implementation of sensors using the phase shift between the two oscillator elements.This work was supported in part by the Spanish Ministry of Economy and Competitiveness and the European Regional Development Fund (ERDF/FEDER) under research project TEC2017-88242-C3-1-R.Institute of Electrical and Electronics Engineers Inc.Universidad de Cantabria20212021-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/21104IEEE Transactions on Microwave Theory and Techniques, 2021, 69(1), 812-824IEEE MTT-S International Microwave Symposium (IMS), Los Angeles, USA, 2020reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/211042026-06-02T12:39:31Z
dc.title.none.fl_str_mv Nonlinear analysis of oscillator mutual injection locking through inductor coupling
title Nonlinear analysis of oscillator mutual injection locking through inductor coupling
spellingShingle Nonlinear analysis of oscillator mutual injection locking through inductor coupling
Suárez Rodríguez, Almudena|||0000-0002-5266-5544
Oscillators
Harmonic balance
Stability analysis
Phase-noise analysis
title_short Nonlinear analysis of oscillator mutual injection locking through inductor coupling
title_full Nonlinear analysis of oscillator mutual injection locking through inductor coupling
title_fullStr Nonlinear analysis of oscillator mutual injection locking through inductor coupling
title_full_unstemmed Nonlinear analysis of oscillator mutual injection locking through inductor coupling
title_sort Nonlinear analysis of oscillator mutual injection locking through inductor coupling
dc.creator.none.fl_str_mv Suárez Rodríguez, Almudena|||0000-0002-5266-5544
Ramírez Terán, Franco Ariel|||0000-0002-4188-4493
Melville, Robert
author Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author_facet Suárez Rodríguez, Almudena|||0000-0002-5266-5544
Ramírez Terán, Franco Ariel|||0000-0002-4188-4493
Melville, Robert
author_role author
author2 Ramírez Terán, Franco Ariel|||0000-0002-4188-4493
Melville, Robert
author2_role author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Oscillators
Harmonic balance
Stability analysis
Phase-noise analysis
topic Oscillators
Harmonic balance
Stability analysis
Phase-noise analysis
description This work presents an in-depth investigation of the nonlinear behavior of two mutually injection-locked oscillators through inductor coupling. An analytical formulation, solved through an innovative procedure, facilitates the understanding of the qualitative transformations in the system solutions when increasing the coupling factor. The analysis demonstrates that, in a manner similar to the unilaterally injection-locked oscillators, families of disconnected/connected curves are obtained when increasing this factor, although the patterns, associated with distinct operation modes, are more complex. Then, an accurate numerical method to predict the behavior of coupled transistor-based oscillators is presented, based on nonlinear admittance models of the individual oscillators. Mathematical conditions are derived to solve the coupled system through a two-level contour-intersection technique. In this way, all the solutions coexisting for a given set of element and parameter values are calculated simultaneously, in an exhaustive manner. The cases of two coupled oscillators at the fundamental frequency and at 1:3 frequency ratio are considered. Possible applications include the oscillator phase-noise reduction and the implementation of sensors using the phase shift between the two oscillator elements.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/21104
url http://hdl.handle.net/10902/21104
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
dc.source.none.fl_str_mv IEEE Transactions on Microwave Theory and Techniques, 2021, 69(1), 812-824
IEEE MTT-S International Microwave Symposium (IMS), Los Angeles, USA, 2020
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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