Title: A novel design of reconfigurable Fourier transform operator over (C) and GF (Ft) for future multi-standards SDR equipments

Authors: Sufi Tabassum Gul, Christophe Moy, Yvet Louet, Ali Al Ghouwayel

Addresses: SUPELEC/IETR, Campus de Rennes, Avenue de la Boulaie, CS 47601 F-35576 Cesson-Sevigne, France. ' SUPELEC/IETR, Campus de Rennes, Avenue de la Boulaie, CS 47601 F-35576 Cesson-Sevigne, France. ' SUPELEC/IETR, Campus de Rennes, Avenue de la Boulaie, CS 47601 F-35576 Cesson-Sevigne, France. ' Lab-STICC, University of South Brittany, BP 92116 – 56321 Lorient Cedex, France

Abstract: Reed Solomon (RS) encoding/decoding in frequency domain is of significant interest in many wireless systems because the fast Fourier transform (FFT) operator is already present, at least in orthogonal frequency division multiplexing (OFDM) based ones. This paper presents and analyses the role of FFT to perform RS encoding/decoding in frequency domain. After explicating performance comparison, we propose to use RS codes defined over GF (Ft) instead of RS codes over GF (2m). Based on this proposition, we have developed a common dual mode fast Fourier transform (DMFFT) operator able to operate over two different domains C and GF (Ft). Various implementation strategies for DMFFT operator have been discussed. We emphasise that this DMFFT operator is a strong candidate for common operators in future air interface standards. We also explain our approach for designing flexible multi-standard radio systems. Finally, we incorporate the DMFFT operator in our graph and solve optimisation problem by a heuristic based on simulated annealing.

Keywords: fast Fourier transform; FFT; Fermat number transform; FNT; common operators; software defined radio; SDR; graph exploration; frequency domain channel coding; optimisation; Reed Solomon codes; simulated annealing.

DOI: 10.1504/IJCNDS.2010.033159

International Journal of Communication Networks and Distributed Systems, 2010 Vol.4 No.4, pp.345 - 375

Available online: 10 May 2010 *

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