A Performance Comparison of Golay and Reed-Muller Coded OFDM Signal for Peak-to-Average Power Ratio Reduction
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64524", author = "Sanjay Singh and M Sathish Kumar and H. S Mruthyunjaya", title = "A Performance Comparison of Golay and Reed-Muller Coded OFDM Signal for Peak-to-Average Power Ratio Reduction", 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", volume = "3", number = "4", pages = "1055-6", }