Analysis of a Multicarrier Communication System Based on Overcomplete Gabor Frames

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

1 DEOS - Département Electronique, Optronique et Signal
2 GIPSA-CICS - GIPSA - Communication Information and Complex Systems
3 Orange Labs R&D

A multicarrier signal can be seen as a Gabor family whose coefficients are the symbols to be transmitted and whose generators are the time-frequency shifted pulse shapes to be used. In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable. Such an interference is minimized when the Gabor family used is a tight frame. We show that, in this case, interference can be approximated as an additive Gaussian noise. This allows us to compute theoretical and simulated bit-error-probability for a non-coded system using a quadrature phase-shift keying constellation. Such a characterization is then used in order 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: Réseaux et télécommunications [cs.NI]; Théorie de l'information [cs.IT]; Traitement du signal et de l'image [eess.SP]

Alexandre Marquet, Cyrille Siclet, Damien Roque, Pierre Siohan. Analysis of a Multicarrier Communication System Based on Overcomplete Gabor Frames. Dominique Noguet; Klaus Moessner; Jacques Palicot. Cognitive Radio Oriented Wireless Networks, 172, Springer International Publishing, pp.387, 2016, Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 978-3-319-40352-6. ⟨10.1007/978-3-319-40352-6_32⟩. ⟨hal-01338564⟩