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On the study of faster-than-Nyquist multicarrier signaling based on frame theory

Siclet, Cyrille and Roque, Damien and Shu, Huaqiang and Siohan, Pierre On the study of faster-than-Nyquist multicarrier signaling based on frame theory. (2014) In: 11th International Symposium on Wireless Communications Systems (ISWCS' 2014), 26 August 2014 - 29 August 2014 (Barcelona, Spain).

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Official URL: http://dx.doi.org/10.1109/ISWCS.2014.6933356


Multicarrier transmissions are classically based on undercomplete or exact Weyl-Heisenberg Riesz (biorthogonal or orthogonal) bases implemented thanks to oversampled filter-banks. This can be seen as a transmission below the Nyquist rate. However, when overcomplete Weyl-Heisenberg frames are used, we obtain a “faster-than-Nyquist” (FTN) system and it is theoretically impossible to recover exactly transmitted symbols using a linear receiver. Various studies have shown the interest of this high density signaling scheme as well as practical implementations based on trellis and/or iterative decoding. Nevertheless, there is still a lack of theoretical justifications with regard to pulse design in the FTN case. In this paper, we consider a linear transceiver operating over an additive white Gaussian noise channel. Using the frame theory and simulation results, we show that the mean squared error (MSE) is minimized when tight frames are used.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. (c) 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. The definitive version is available at http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6933356
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Institut polytechnique de Grenoble (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Orange (FRANCE)
Other partners > Université Pierre Mendès France, Grenoble 2 - UPMF (FRANCE)
Other partners > Université Joseph Fourier Grenoble 1 - UJF (FRANCE)
Other partners > Université Stendhal-Grenoble 3 - U3 (FRANCE)
Laboratory name:
Deposited On:27 Nov 2014 14:31

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