Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits

This article describes the computational model of a 2nd order Σ-Δ modulator used to generate Pulse-density Modulated (PDM) signals. Such a model was required as part of a previous work carried by one of the authors in order to perform design verification of analog integrated circuits. For this purpo...

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Autores:
Simancas, José G.
Ortiz, José C.
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Antonio Nariño
Repositorio:
Repositorio UAN
Idioma:
spa
OAI Identifier:
oai:repositorio.uan.edu.co:123456789/3947
Acceso en línea:
http://revistas.uan.edu.co/index.php/ingeuan/article/view/383
http://repositorio.uan.edu.co/handle/123456789/3947
Palabra clave:
Σ-Δ modulator
PDM signals
computational model
low pass filter
verification of analog integrated circuits
Modulador ∑-∆
señales PDM
modelo computacional
filtro pasa-bajas
verificación de circuitos integrados analógicos
Rights
openAccess
License
Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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oai_identifier_str oai:repositorio.uan.edu.co:123456789/3947
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repository_id_str
spelling Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)Acceso abiertohttps://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Simancas, José G.Ortiz, José C.2021-06-16T13:53:11Z2021-06-16T13:53:11Z2014-12-20http://revistas.uan.edu.co/index.php/ingeuan/article/view/383http://repositorio.uan.edu.co/handle/123456789/3947This article describes the computational model of a 2nd order Σ-Δ modulator used to generate Pulse-density Modulated (PDM) signals. Such a model was required as part of a previous work carried by one of the authors in order to perform design verification of analog integrated circuits. For this purpose, the theoretical performance of the Σ-Δ modulators was studied, and the mathematical model of the latter was performed using finite difference equations under coherent sampling. After this, the modulator was implemented using Matlab™ mathematical model. Then, it was verified that it behaved according to the theory of Σ-Δ modulation by performing simulations. As this work is complementary to a previously developed one, as already mentioned, we were careful that the stimuli encoded in the PDM signals was recoverable through a low pass filtering. Therefore, such filter was implemented in Matlab™, and after that we applied the PDM signals to its input. The result was the successful recovery of the stimuli, but with remaining noise outside and within the band of interest. It was evident that filtering was not able to remove the noise completely. AlthoughEn este artículo se realiza la modelo computacional de un modulador ∑-∆ de 2 ° orden para la generación de las señales Pulse Density Modulated (PDM) (modulado por densidad de pulso) requerido en el diseño propuesto por uno de los autores en un trabajo anterior que trata sobre la verificación del funcionamiento de circuitos integrados analógicos. Para este propósito, se estudia el funcionamiento teórico de los moduladores ∑-∆, y se realiza el modelo matemático de este último usando las ecuaciones en diferencias finitas en el marco del muestreo coherente. Luego de esto, se codifica en Matlab™ el modelo matemático y se verifica que tal modelo se comporta conforma a la teoría de la modulación ∑-∆ mediante simulaciones. Debido a que este trabajo es complementario a uno desarrollado con anterioridad, como ya se mencionó  se debe verificar que los estímulos que están codificados en las señales PDM sean recuperables mediante un filtro pasa-bajas, por tanto, se implementó el filtro en Matlab™ y se le aplico a las señales PDM. El resultado fue la correcta recuperación de los estímulos pero con un ruido remanente (fuera y dentro de la banda de interés) no eliminable mediante filtrado que se puede considerar una desventaja, pero que es tolerable.application/pdfspaUniversidad Antonio Nariñohttp://revistas.uan.edu.co/index.php/ingeuan/article/view/383/3212346-14462145-0935INGE@UAN - TENDENCIAS EN LA INGENIERÍA; Vol. 5 Núm. 9 (2014)Σ-Δ modulatorPDM signalscomputational modellow pass filterverification of analog integrated circuitsModulador ∑-∆señales PDMmodelo computacionalfiltro pasa-bajasverificación de circuitos integrados analógicosComputer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuitsModelo computacional de un modulador ∑-∆ de 2° orden para la generación de señales de prueba en circuitos integrados analógicosinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85123456789/3947oai:repositorio.uan.edu.co:123456789/39472024-10-09 23:13:55.761https://creativecommons.org/licenses/by-nc-sa/4.0/Acceso abiertometadata.onlyhttps://repositorio.uan.edu.coRepositorio Institucional UANalertas.repositorio@uan.edu.co
dc.title.en-US.fl_str_mv Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
dc.title.es-ES.fl_str_mv Modelo computacional de un modulador ∑-∆ de 2° orden para la generación de señales de prueba en circuitos integrados analógicos
title Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
spellingShingle Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
Σ-Δ modulator
PDM signals
computational model
low pass filter
verification of analog integrated circuits
Modulador ∑-∆
señales PDM
modelo computacional
filtro pasa-bajas
verificación de circuitos integrados analógicos
title_short Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
title_full Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
title_fullStr Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
title_full_unstemmed Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
title_sort Computer model of a Σ-Δ modulator 2nd order for generating testing signals in analog integrated circuits
dc.creator.fl_str_mv Simancas, José G.
Ortiz, José C.
dc.contributor.author.spa.fl_str_mv Simancas, José G.
Ortiz, José C.
dc.subject.en-US.fl_str_mv Σ-Δ modulator
PDM signals
computational model
low pass filter
verification of analog integrated circuits
topic Σ-Δ modulator
PDM signals
computational model
low pass filter
verification of analog integrated circuits
Modulador ∑-∆
señales PDM
modelo computacional
filtro pasa-bajas
verificación de circuitos integrados analógicos
dc.subject.es-ES.fl_str_mv Modulador ∑-∆
señales PDM
modelo computacional
filtro pasa-bajas
verificación de circuitos integrados analógicos
description This article describes the computational model of a 2nd order Σ-Δ modulator used to generate Pulse-density Modulated (PDM) signals. Such a model was required as part of a previous work carried by one of the authors in order to perform design verification of analog integrated circuits. For this purpose, the theoretical performance of the Σ-Δ modulators was studied, and the mathematical model of the latter was performed using finite difference equations under coherent sampling. After this, the modulator was implemented using Matlab™ mathematical model. Then, it was verified that it behaved according to the theory of Σ-Δ modulation by performing simulations. As this work is complementary to a previously developed one, as already mentioned, we were careful that the stimuli encoded in the PDM signals was recoverable through a low pass filtering. Therefore, such filter was implemented in Matlab™, and after that we applied the PDM signals to its input. The result was the successful recovery of the stimuli, but with remaining noise outside and within the band of interest. It was evident that filtering was not able to remove the noise completely. Although
publishDate 2014
dc.date.issued.spa.fl_str_mv 2014-12-20
dc.date.accessioned.none.fl_str_mv 2021-06-16T13:53:11Z
dc.date.available.none.fl_str_mv 2021-06-16T13:53:11Z
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.none.fl_str_mv http://revistas.uan.edu.co/index.php/ingeuan/article/view/383
dc.identifier.uri.none.fl_str_mv http://repositorio.uan.edu.co/handle/123456789/3947
url http://revistas.uan.edu.co/index.php/ingeuan/article/view/383
http://repositorio.uan.edu.co/handle/123456789/3947
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv http://revistas.uan.edu.co/index.php/ingeuan/article/view/383/321
dc.rights.none.fl_str_mv Acceso abierto
dc.rights.license.spa.fl_str_mv Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Acceso abierto
https://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Antonio Nariño
dc.source.none.fl_str_mv 2346-1446
2145-0935
dc.source.es-ES.fl_str_mv INGE@UAN - TENDENCIAS EN LA INGENIERÍA; Vol. 5 Núm. 9 (2014)
institution Universidad Antonio Nariño
repository.name.fl_str_mv Repositorio Institucional UAN
repository.mail.fl_str_mv alertas.repositorio@uan.edu.co
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