FTN multicarrier transmission based on tight Gabor frames

Alexandre Marquet (1, 2) , Damien Roque (2) , Cyrille Siclet (1) , Pierre Siohan (3)

1 GIPSA-CICS - GIPSA - Communication Information and Complex Systems
2 DEOS - Département Electronique, Optronique et Signal
3 Orange Labs [Cesson-Sévigné]

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.

Mots clés: Multicarrier modulations; Faster-than-Nyquist signaling; Linear system; Optimal pulse shapes; Gabor frames; Interference analysis; Interference cancellation; Low-density parity-check codes

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Théorie de l'information [cs.IT]

Alexandre Marquet, Damien Roque, Cyrille Siclet, Pierre Siohan. FTN multicarrier transmission based on tight Gabor frames. EURASIP Journal on Wireless Communications and Networking, 2017, 1, pp.97. ⟨10.1186/s13638-017-0878-3⟩. ⟨hal-01529661⟩