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....

Full description

Bibliographic Details
Main Authors: Alexandre Marquet, Damien Roque, Cyrille Siclet, Pierre Siohan
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:EURASIP Journal on Wireless Communications and Networking
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13638-017-0878-3
_version_ 1818909194480254976
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
work_keys_str_mv AT alexandremarquet ftnmulticarriertransmissionbasedontightgaborframes
AT damienroque ftnmulticarriertransmissionbasedontightgaborframes
AT cyrillesiclet ftnmulticarriertransmissionbasedontightgaborframes
AT pierresiohan ftnmulticarriertransmissionbasedontightgaborframes