FTN multicarrier transmission based on tight Gabor frames
Abstract A multicarrier signal can be synthesized thanks to a symbol sequence and a Gabor family (i.e., a regularly time–frequency shifted version of a generator pulse). In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable....
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2017-05-01
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Series: | EURASIP Journal on Wireless Communications and Networking |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13638-017-0878-3 |
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author | Alexandre Marquet Damien Roque Cyrille Siclet Pierre Siohan |
author_facet | Alexandre Marquet Damien Roque Cyrille Siclet Pierre Siohan |
author_sort | Alexandre Marquet |
collection | DOAJ |
description | Abstract A multicarrier signal can be synthesized thanks to a symbol sequence and a Gabor family (i.e., a regularly time–frequency shifted version of a generator pulse). In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable. Over an additive white Gaussian noise channel, we show that the signal-to-interference-plus-noise ratio is maximized when the transmitter and the receiver use the same tight Gabor frame. What is more, we give practical efficient realization schemes and show how to build tight frames based on usual generators. Theoretical and simulated bit-error probability are given for a non-coded system using quadrature amplitude modulations. Such a characterization is then used to predict the convergence of a coded system using low-density parity-check codes. We also study the robustness of such a system to errors on the received bits in an interference cancellation context. |
first_indexed | 2024-12-19T22:23:02Z |
format | Article |
id | doaj.art-bad28bf59993415d9ec9160385af5fb3 |
institution | Directory Open Access Journal |
issn | 1687-1499 |
language | English |
last_indexed | 2024-12-19T22:23:02Z |
publishDate | 2017-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | EURASIP Journal on Wireless Communications and Networking |
spelling | doaj.art-bad28bf59993415d9ec9160385af5fb32022-12-21T20:03:35ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14992017-05-012017111510.1186/s13638-017-0878-3FTN multicarrier transmission based on tight Gabor framesAlexandre Marquet0Damien Roque1Cyrille Siclet2Pierre Siohan3Univ. Grenoble Alpes, GIPSA-LabInstitut Supérieur de l’Aéronautique et de l’Espace (ISAE-SUPAERO), Univ. ToulouseUniv. Grenoble Alpes, GIPSA-LabIndependent ResearcherAbstract A multicarrier signal can be synthesized thanks to a symbol sequence and a Gabor family (i.e., a regularly time–frequency shifted version of a generator pulse). In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable. Over an additive white Gaussian noise channel, we show that the signal-to-interference-plus-noise ratio is maximized when the transmitter and the receiver use the same tight Gabor frame. What is more, we give practical efficient realization schemes and show how to build tight frames based on usual generators. Theoretical and simulated bit-error probability are given for a non-coded system using quadrature amplitude modulations. Such a characterization is then used to predict the convergence of a coded system using low-density parity-check codes. We also study the robustness of such a system to errors on the received bits in an interference cancellation context.http://link.springer.com/article/10.1186/s13638-017-0878-3Multicarrier modulationsFaster-than-Nyquist signalingLinear systemOptimal pulse shapesGabor framesInterference analysis |
spellingShingle | Alexandre Marquet Damien Roque Cyrille Siclet Pierre Siohan FTN multicarrier transmission based on tight Gabor frames EURASIP Journal on Wireless Communications and Networking Multicarrier modulations Faster-than-Nyquist signaling Linear system Optimal pulse shapes Gabor frames Interference analysis |
title | FTN multicarrier transmission based on tight Gabor frames |
title_full | FTN multicarrier transmission based on tight Gabor frames |
title_fullStr | FTN multicarrier transmission based on tight Gabor frames |
title_full_unstemmed | FTN multicarrier transmission based on tight Gabor frames |
title_short | FTN multicarrier transmission based on tight Gabor frames |
title_sort | ftn multicarrier transmission based on tight gabor frames |
topic | Multicarrier modulations Faster-than-Nyquist signaling Linear system Optimal pulse shapes Gabor frames Interference analysis |
url | http://link.springer.com/article/10.1186/s13638-017-0878-3 |
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