A Performance Comparison of Golay and Reed-Muller Coded OFDM Signal for Peak-to-Average Power Ratio Reduction

Authors: Sanjay Singh, M Sathish Kumar, H. S Mruthyunjaya

Abstract:

Multicarrier transmission system such as Orthogonal Frequency Division Multiplexing (OFDM) is a promising technique for high bit rate transmission in wireless communication systems. OFDM is a spectrally efficient modulation technique that can achieve high speed data transmission over multipath fading channels without the need for powerful equalization techniques. A major drawback of OFDM is the high Peak-to-Average Power Ratio (PAPR) of the transmit signal which can significantly impact the performance of the power amplifier. In this paper we have compared the PAPR reduction performance of Golay and Reed-Muller coded OFDM signal. From our simulation it has been found that the PAPR reduction performance of Golay coded OFDM is better than the Reed-Muller coded OFDM signal. Moreover, for the optimum PAPR reduction performance, code configuration for Golay and Reed-Muller codes has been identified.

Keywords: OFDM, PAPR, Perfect Codes, Golay Codes, Reed-Muller Codes

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335382

References:

[1] M. R Nakhai,"Multicarrier Transmission,"IET Signal Process., vol.2, no.1, pp.1-14, Jan.2008.
[2] Haris Gacanin and Fumiyuki Adachi,"A Comprehensive Performance Comparison of OFDM/TDM Using MMSE-FDE and Conventional OFDM," Proc.VTC 2008, pp.1404-1408.
[3] ETSI BRAN, HIPERLAN Type 2 Functional Specification Part 1- Physical (PHY) Layer, April 2000. DTS/BRAN-0023003.
[4] Draft Supplement to Standard for Telecommunications and Information Exchange between Systems-LAN/MAN Specific requirements-Part 11: Wireless MAC and PHY specifications: High Speed Physical Layer in the 5 GHz Band, IEEE802.11, May 1999. P802.11a/D6.0.
[5] Slimane Ben Slimane,"Reducing the Peak-to-Average Power Ratio of OFDM Signals through Precoding," IEEE Trans.VTC., vol.56,no.2,pp.686-695, March 2007.
[6] C. Rapp,"Effect of HPA-nonlinearity on a 4PSK/OFDM signal for a digital sound broadcasting system," in Proc.2nd Eur.Conf.Satell.Commun., Liege, Belgium, Oct 1991, pp.179-184.
[7] X. Li and L. J Cimini,Jr.,"Effect of Clipping and Filtering on the Performance of OFDM," IEEE Commun.Lett., vol.2,no.5,pp.131-133,May 1998.
[8] R. W Bauml, R. F. H. Fisher and J. B Huber,"Reducing the Peak-to- Average Power Ratio of Multicarrier Modulation By Selected Mapping," Elect.Lett., vol.32,no.22,pp.2056-2057,Oct.1996.
[9] A. E Jones, T. A Wilkinson and S. K Barton,"Block Coding Scheme for Reduction of Peak to Mean Envelope Power Ratio of Multicarrier Transmission Scheme," Elect.Lett., vol.30,no.22,pp.2098-2099,Dec.1994.
[10] A. E Jones and T. A Wilkinson,"Combined Coding for Error Control and Increased Robustness to System Nonlinearities in OFDM," in Proc.IEEE VTC., Atlanta, GA, Apr.-May 1996,pp.904-908.
[11] Jose Tellado,"Multicarrier Modulation with Low PAR: Applications to DSL and Wireless,"Kluwer Academic Publisher, Boston, 2000.
[12] S. Narahashi and T. Nojima,"New phasing scheme of N-multiple carriers for reducing peak-to-average power ratio,"Electronics Lett.,vol.30,pp.1382-1383,August 1994.
[13] M. J. E. Golay,"Multislit Spectrometry", J.Opt.Soc.Amer., vol.39,pp.437- 444, 1949.
[14] MacWilliams, F. J. and Sloane, N. J. A.,"The Theory of Error Correcting Codes," North- Holland Mathematical Library Volume 16, Elsevier Science B. V., Amsterdam, 1977.
[15] Sanjay Singh,M. Sathish Kumar and H. S Mruthyunjaya,"Reduction of Peak-to-Average Power Ratio of an OFDM Signal using Scrambling Coding," Intl.J.Comp.Sci.and Commun.Tech., vol.1,no.2,pp.109- 115, Jan.2009.
[16] Richard Van Nee and Ramjee Prasad,"OFDM for Wireless Multimedia Communication," Boston, Artech House, 2000.
[17] Melissa Kanemasu, "Golay Codes," MIT Undergraduate Journal of Mathematics,pp.95-99.