On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution

A Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the...

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Detalles Bibliográficos
Autor: Payaro, M
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
Repositorio:r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
OAI Identifier:oai:cttc.fundanetsuite.com:p2794
Acceso en línea:https://cttc.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2794
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878715826&doi=10.1109%2fTCOMM.2013.032013.120577&partnerID=40&md5=d071c247df1a35b269e6e2ec1a2f7c8c
Access Level:acceso abierto
Palabra clave:Algorithms
Gaussian distribution
Matrix algebra
Mercury (metal)
Optimization
Telecommunication
Vectors
Arbitrary inputs
Linear vector Gaussian channels
MMSE
Mutual informations
Power allocations
Precoder optimizations
Energy harvesting
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spelling On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distributionPayaro, MAlgorithmsGaussian distributionMatrix algebraMercury (metal)OptimizationTelecommunicationVectorsArbitrary inputsLinear vector Gaussian channelsMMSEMutual informationsPower allocationsPrecoder optimizationsEnergy harvestingA Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the channel state and harvested energy (commonly known as offline approach). It is shown that, at each channel use, the left singular vectors of the precoder are equal to the eigenvectors of the Gram channel matrix. Additionally, an expression that relates the optimal singular values of the precoder with the energy harvesting profile through the Minimum Mean-Square Error (MMSE)} matrix is obtained. Then, the specific situation in which the right singular vectors of the precoder are set to the identity matrix is considered. In this scenario, the optimal offline power allocation, named Mercury Water-Flowing, is derived and an intuitive graphical representation is presented. Two optimal offline algorithms to compute the Mercury Water-Flowing solution are proposed and an exhaustive study of their computational complexity is performed. Moreover, an online algorithm is designed, which only uses causal knowledge of the harvested energy and channel state. Finally, the achieved mutual information is evaluated through simulation. © 2013 IEEE.Institute of Electrical and Electronics Engineers Inc.2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://cttc.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2794https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878715826&doi=10.1109%2fTCOMM.2013.032013.120577&partnerID=40&md5=d071c247df1a35b269e6e2ec1a2f7c8cIEEE TRANSACTIONS ON COMMUNICATIONSISSN: 00906778ISSNe: 15580857reponame:r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)instname:Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)Inglésinfo:eu-repo/semantics/openAccessoai:cttc.fundanetsuite.com:p27942026-06-17T11:44:47Z
dc.title.none.fl_str_mv On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
title On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
spellingShingle On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
Payaro, M
Algorithms
Gaussian distribution
Matrix algebra
Mercury (metal)
Optimization
Telecommunication
Vectors
Arbitrary inputs
Linear vector Gaussian channels
MMSE
Mutual informations
Power allocations
Precoder optimizations
Energy harvesting
title_short On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
title_full On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
title_fullStr On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
title_full_unstemmed On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
title_sort On the precoder design of a wireless energy harvesting node in linear vector gaussian channels with arbitrary input distribution
dc.creator.none.fl_str_mv Payaro, M
author Payaro, M
author_facet Payaro, M
author_role author
dc.subject.none.fl_str_mv Algorithms
Gaussian distribution
Matrix algebra
Mercury (metal)
Optimization
Telecommunication
Vectors
Arbitrary inputs
Linear vector Gaussian channels
MMSE
Mutual informations
Power allocations
Precoder optimizations
Energy harvesting
topic Algorithms
Gaussian distribution
Matrix algebra
Mercury (metal)
Optimization
Telecommunication
Vectors
Arbitrary inputs
Linear vector Gaussian channels
MMSE
Mutual informations
Power allocations
Precoder optimizations
Energy harvesting
description A Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the channel state and harvested energy (commonly known as offline approach). It is shown that, at each channel use, the left singular vectors of the precoder are equal to the eigenvectors of the Gram channel matrix. Additionally, an expression that relates the optimal singular values of the precoder with the energy harvesting profile through the Minimum Mean-Square Error (MMSE)} matrix is obtained. Then, the specific situation in which the right singular vectors of the precoder are set to the identity matrix is considered. In this scenario, the optimal offline power allocation, named Mercury Water-Flowing, is derived and an intuitive graphical representation is presented. Two optimal offline algorithms to compute the Mercury Water-Flowing solution are proposed and an exhaustive study of their computational complexity is performed. Moreover, an online algorithm is designed, which only uses causal knowledge of the harvested energy and channel state. Finally, the achieved mutual information is evaluated through simulation. © 2013 IEEE.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://cttc.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2794
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878715826&doi=10.1109%2fTCOMM.2013.032013.120577&partnerID=40&md5=d071c247df1a35b269e6e2ec1a2f7c8c
url https://cttc.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2794
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878715826&doi=10.1109%2fTCOMM.2013.032013.120577&partnerID=40&md5=d071c247df1a35b269e6e2ec1a2f7c8c
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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 COMMUNICATIONS
ISSN: 00906778
ISSNe: 15580857
reponame:r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
instname:Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
instname_str Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
reponame_str r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
collection r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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