A New Effective and Efficient Measure of PAPR in OFDM
Ibrahim M. Hussain, Imran A. Tasadduq, Abdul Rahim Ahmad
DOI: 10.4236/ijcns.2010.39101   PDF    HTML     6,373 Downloads   11,853 Views  


In multi-carrier wireless OFDM communication systems, a major issue is related to high peaks in transmitted signals, resulting in such problems as power inefficiency. In this regard, a common practice is to transmit the signal that has the lowest Peak to Average Power Ratio (PAPR). Consequently, some efficient and accurate method of estimating the PAPR of a signal is required. Previous literature in this area suggests a strong relationship between PAPR and Power Variance (PV). As such, PV has been advocated as a good measure of PAPR. However, contrary to what is suggested in the literature, our research shows that often low values of PV do not correspond to low values of PAPR. Hence, PV does not provide a sound scientific basis for comparing and estimating PAPR in OFDM signals. In this paper a novel, effective, and efficient measure of high peaks in OFDM signals is proposed, which is less complex than PAPR. The proposed measure, termed as Partial Power Variance (PPV), exploits the relationship among PAPR, Aperiodic Autocorrelation Co-efficient (AAC), and Power Variance (PV) of the transmitted signal. Our results demonstrate that, in comparison to PV, Partial Power Variance is a more efficient as well as a more effective measure of PAPR. In addition, we demonstrate that the computational complexity of PPV is far less than that of PAPR.

Share and Cite:

I. Hussain, I. Tasadduq and A. Ahmad, "A New Effective and Efficient Measure of PAPR in OFDM," International Journal of Communications, Network and System Sciences, Vol. 3 No. 9, 2010, pp. 755-766. doi: 10.4236/ijcns.2010.39101.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Special Issue on 4G Mobile Communications: “Toward Open Wireless Architecture, IEEE Wireless Communications, Vol. 11, No. 2, April, 2004.
[2] P. Van Eetvelt, G. Wade and M. Tomlinson, “Peak to Average Power Reduction for OFDM Schemes by Selective Scrambling,” Electronics Letters, Vol. 32, No. 21, October 1996, pp. 1963-1964.
[3] H. Nikookar and R. Prasad, “Weighted Multicarrier Modulation for Peak-to Average Power Reduction,” IEICE Transactions on Communications, Vol. E83-B, August 2000, pp. 1396-1404.
[4] H. Nikookar and Knut Sverre Lidsheim, “Random Phase Updating Algorithm for OFDM Transmission with Low PAPR,” IEEE Transactions on Broadcasting, Vol. 48, No. 2, June 2002, pp. 123 - 128.
[5] C. Tellambura, “Use of M-sequences for OFDM Peak- to-average Power Ratio Reduction,” IEEE Electronics Letters, Vol. 33, No. 15, July 1999, pp. 1300-1301.
[6] C. Tellambura, “Computation of the Continuous-Time PAR of an OFDM Signal with BPSK Subcarriers,” IEEE Communications Letters, Vol. 5, No. 5, May 2001, pp. 185-187.
[7] K. Y. Xue, H. W. Yang and S. L. Su, “The Clipping Noise and PAPR in the OFDM System,” Proceedings of WRI International Conference on Communications and Mobile Computing, Vol. 1, Yunnan, January 2009, pp. 265-269.
[8] H. Gacanin and F. Adachi, “PAPR Advantage of Amplitude Clipped OFDM/TDM,” IEICE Transactions on Communications, Vol. E91-B, No. 3, March 2008, pp. 931-934.
[9] I. A. Tasadduq and R. K. Rao, “OFDM-CPM Signals for Wireless Communications,” Canadian Journal of Electrical & Computer Engineering, Vol. 28, No. 1, January 2003, pp. 19-25.
[10] I. A. Tasadduq and R. K. Rao, “PAPR Reduction of OFDM-CPM System Using Multi-amplitude CPM Signals,” Proceedings of 21st Biennial Symposium on Communications, Kingston, June 2002, pp. 225-229.
[11] H. Ochiai, “A Novel Trellis-shaping Design with Both Peak and Average Power Reduction for OFDM Systems,” IEEE Transactions on Communications, Vol. 52, No. 11, November 2004, pp. 1916-1926.
[12] S. Sezginer and H. Sari, “Metric-Based Symbol Predistortion Techniques for Peak Power Reduction in OFDM Systems,” IEEE Transactions on Wireless Communications, Vol. 6, No. 7, July 2007, pp. 2622-2629.
[13] S. Yang and Y. Shin, “An Adaptive SLM Scheme Based on Peak Observation for PAPR Reduction of OFDM Signals,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E91, No. 1, January 2008, pp. 422-425.
[14] A. D. S. Jayalath and C. Tellambura “SLM and PTS Peak-power Reduction of OFDM Signals without Side Information,” IEEE Transactions on Wireless Communica- tions, Vol. 4, No. 5, September 2005. pp. 2006-2013.
[15] C. L. Wang and Sheng-Ju Ku, “Novel Conversion Matrices for Simplifying the IFFT Computation of an SLM-based PAPR Reduction Scheme for OFDM Systems,” IEEE Transactions on Communications, Vol. 57, No. 7, July 2009, pp. 1903-1907.
[16] L. Yanga, R. S. Chena, K. K. Soob and Y. M. Siub, “An Efficient Sphere Decoding Approach for PTS Assisted PAPR Reduction of OFDM Signals,” International Journal of Electronics and Communications, Vol. 61, No. 10, November 2007, pp. 684-688.
[17] Y. Zhang, Q. Ni and H.-H. Chen, “A New Partial Transmit Sequence Scheme Using Genetic Algorithm for Peak-to-average Power Ratio Reduction in a Multi-carrier Code Division Multiple Access Wireless System,” International Journal of Autonomous and Adaptive Communications Systems, Vol. 2, No. 1, March 2009, pp. 40-57.
[18] C. Tellambura, “Upper Bound on Peak Factor of N-multiple Carriers,” Electronic Letters, Vol. 33, September 1997, pp. 1608-1609.
[19] N. Y. Ermolova and P. Vainikainen, “On the Relationship between Peak Factor of a Multicarrier Signal and Aperiodic Autocorrelation of the Generating Sequence,” IEEE Communications Letters, Vol. 7, No. 3, March 2003, pp. 107-108.
[20] A. Ghassemi and T. A. Gulliver, “Low Autocorrelation Fractional PTS Subblocking for PAPR Reduction in OFDM Systems,” Proceedings of 6th Annual Conference on Communication Networks and Services Research, Nova Scotia, May 2008, pp. 41-45.
[21] C. Y. Hsu and H. Do, “The New Peak-to-Average Power Reduction Algorithm in the OFDM System,” Wireless Personal Communications, Vol. 41, No. 4, June 2007, pp. 517-525.
[22] E. Sun, K. Yi, B. Tian and X. Wang, “A Method for PAPR Reduction in MSE-OFDM Systems,” Proceedings of International Conference on Advanced Information Networking and Applications 2006, Vienna, Vol. 2, April 2006, pp. 18-20.
[23] D. Wu, S. Predrag and S. Ivan, “Ternary Complementary Sets for Multiple Channel DS-UWB with Reduced Peak to Average Power Ratio,” Proceedings of IEEE GLOBECO, Texas, November 2004, pp. 3230-3234.
[24] A. R. Ahmad, O. Basir and K. Hassanein, “An Intelligent Expert Systems Approach to Layout Decision Analysis and Design Under Uncertainty,” Springer-Verlag, 2008, pp. 312-365.
[25] A. R. Ahmad, “An Intelligent Expert System for Decision Analysis & Support,” Ph.D. Thesis, University of Waterloo, Waterloo.
[26] I. M. Hussain and I. A Tasadduq, “PAPR Analysis in OFDM Signals Based on Power Variance,” Proceedings of Wireless Communications, Networking and Mobile Computing, Dalian, October 2008, pp. 1-4.
[27] M. Negnevitsky, “Artificial Intelligence: A Guide to Intelligent Systems,” Pearson, Sydney, 2008.
[28] A. V. Oppenheim and R. W. Schafer, Discrete-time Signal Processing, Englewood Cliffs: Prentice Hall, 1989.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.