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Wireless Communications and Mobile Computing
Volume 2017 (2017), Article ID 9207108, 16 pages
Research Article

Efficient Offline Waveform Design Using Quincunx/Hexagonal Time-Frequency Lattices

1MEDIATRON Laboratory, Sup’Com, University of Carthage, 2083 Ariana, Tunisia
2LETI Laboratory, ENIS, 3038 Sfax, Tunisia

Correspondence should be addressed to Raouia Ayadi

Received 29 June 2017; Revised 16 October 2017; Accepted 5 November 2017; Published 26 November 2017

Academic Editor: Milos Tesanovic

Copyright © 2017 Raouia Ayadi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Conventional orthogonal frequency division multiplexing (OFDM) may turn to be inappropriate for future wireless cellular systems services, because of extreme natural and artificial impairments they are expected to generate. Natural impairments result from higher Doppler and delay spreads, while artificial impairments result from multisource transmissions and synchronization relaxation for closed-loop signaling overhead reduction. These severe impairments induce a dramatic loss in orthogonality between subcarriers and OFDM symbols and lead to a strong increase in intercarrier interference (ICI) and intersymbol interference (ISI). To fight against these impairments, we propose here an optimization of the transmit/receive waveforms for filter-bank multicarrier (FBMC) systems, with hexagonal time-frequency (TF) lattices, operating over severe doubly dispersive channels. For this, we exploit the Ping-pong Optimized Pulse Shaping (POPS) paradigm, recently applied to rectangular TF lattices, to design waveforms maximizing the signal-to-interference-plus-noise ratio (SINR) for hexagonal TF lattices. We show that FBMC, with hexagonal lattices, offers a strong improvement in SINR with respect to conventional OFDM and an improvement of around 1 dB with respect to POPS-FBMC, with rectangular lattices. Furthermore, we show that hexagonal POPS-FBMC brings more robustness to frequency synchronization errors and offers a 10 dB reduction in out-of-band (OOB) emissions, with respect to rectangular POPS-FBMC.