Convergence of the complex envelope of bandlimited OFDM signals

IEEE Transactions on Information Theory

Volumn 56, Issue 10, 2010, Pages 4893-4904

  Wei, Shuangqing ^a   Goeckel, Dennis L ^b   Kelly, Patrick A ^b  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b University of Massachusetts   (United States)

Author keywords

Convergence; extreme value theory; Gaussian random process; orthogonal frequency division multiplexing (OFDM); peak to mean envelope power ratio

Indexed keywords

CONVERGENCE; EXTREME VALUE THEORY; GAUSSIAN RANDOM PROCESS; ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING (OFDM); PEAK TO MEAN ENVELOPE POWER RATIO;

FREQUENCY ALLOCATION; FREQUENCY DIVISION MULTIPLE ACCESS; GAUSSIAN DISTRIBUTION; MULTIPLEXING; ORTHOGONAL FUNCTIONS; QUADRATURE AMPLITUDE MODULATION; RANDOM PROCESSES; WIRELESS TELECOMMUNICATION SYSTEMS;

ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING;

EID: 77956675846     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2059550     Document Type: Article

References (36)

1. L. Cimini, Jr., "Performance studies for high-speed indoor wireless communications," Wireless Pers. Commun., vol.2, pp. 67-85, 1995.
2. U. Reimers, "Digital video broadcasting," IEEE Commun. Mag., pp. 104-110, 1998.
3. R. Van Nee, G. Awater, M. Morikura, H. Takanashi, and M. Webster, "New high-rate wireless LAN standards," IEEE Commun. Mag., pp. 82-88, Dec. 1999.
4. E. Ayanoglu, V. Jones, G. Raleigh, J. Gardner, D. Gerlach, and K. Toussi, "VOFDM broadband wireless transmission and its advantages over single carrier modulation," in Proc. Commun. Theory Symp. Assoc. Int. Conf. Commun.s, 2001, pp. 1660-1664.
5. L. Cimini, Jr. and N. Sollenberger, "OFDM with diversity and coding for advanced cellular internet services," in Proc. Global Commun. Conf., 1997, pp. 305-309.
6. S. Hee Han and J. Hong Lee, "An overview of peak-to-average power ratio reduction techniques for multicarrier transmission," IEEE Wireless Commun., vol.12, no.2, pp. 56-65, Apr. 2005.
7. J. Tao and W. Yiyan, "An overview: Peak-to-average power ratio reduction techniques for OFDM signals," IEEE Trans. Broadcasting, vol.54, no.2, pp. 257-268, Jun. 2008.
8. T. Wilkinson and A. Jones, "Minimization of the peak to mean envelope power ratio of multicarrier transmission schemes by block coding," in Proc. 45th Veh. Technol. Conf., 1995, pp. 825-829.
9. J. Davis and J. Jedwab, "Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes," IEEE Trans. Inf. Theory, vol.45, pp. 2397-2417, Nov. 1999.
10. M. Friese, "On the achievable information rate with peak-power-limited orthogonal frequency division multiplexing," IEEE Trans. Inf. Theory, vol.46, pp. 2579-2587, Nov. 2000.
11. H. Boche and G.Wunder, "On the PAPR problem in OFDM," in Proc. 2001 Allerton Conf. Commun., Contr., Comput., Oct. 2001.
12. S.Wei, D. L. Goeckel, and P. E.Kelly, "A modern extreme value theory approach to calculating the distribution of the PAPR in OFDM systems," in Proc. IEEE ICC 2002, New York, May 2002, pp. 1686-1690
13. G.Wunder and H. Boche, "Upper bounds on the statistical distribution of the crest-factor in OFDM transmission," IEEE Trans. Inf. Theory, vol.49, pp. 488-494, Feb. 2003.
14. M. Sharif and B. Hassibi, "Existence of codes with constant PMEPR and related designs," IEEE Trans. Signal Process., vol.52, no.10, pp. 2836-2847, Oct. 2004.
15. M. Sharif and B. Hassibi, "On multicarrier signals where thePMEPR of a random codeword is asymptotically logn," IEEE Trans. Inf. Theory, vol.50, no.5, pp. 895-903, May 2004.
16. M. Sharif, C. Florens, M. Fazel, and B. Hassibi, "Amplitude and sign adjustment for peak-to-average-power reduction," IEEE Trans. Commun., vol.53, no.8, pp. 1243-1247, Aug. 2005.
17. M. Sharif and B. Hassibi, "High-rate codes with bounded PMPER for BPSK and other symmetric constellations," IEEE Trans. Commun., vol.54, no.7, pp. 1160-1163, Jul. 2006.
18. S. Litsyn and G.Wunder, "Generalized bounds on the crest-factor distribution of OFDM signals with applications to code design," IEEE Trans. Inf. Theory, vol.52, no.3, pp. 992-1006, Mar. 2006.
19. R. van Nee and A. deWild, "Reducing the peak-to-average power ratio of OFDM," in Proc. 48th Veh. Technol. Conf., 1998, pp. 2072-2076.
20. D. Wulich, N. Dinur, and A. Glinowiecki, "Level-clipped high-order OFDM," IEEE Trans. Commun., vol.48, pp. 928-930, Jun. 2000.
21. H. Ochiai and H. Imai, "On the distribution of the peak-to-average power ratio in OFDM signals," IEEE Trans. Commun., vol.49, pp. 282-289, Feb. 2001.
22. N. Dinur and D. Wulich, "Peak to average power ratio in high order OFDM," IEEE Trans. Commun., vol.49, pp. 1063-1072, Jun. 2001.
23. A. Bahai, M. Singh, A. Goldsmith, and B. Saltzberg, "A new approach for evaluating clipping distortion in multicarrier systems," IEEE J. Sel. Areas Commun., vol.20, pp. 1037-1046, Jun. 2002.
24. J. Tao, M. Guizani, H. H. Chen, W. Xiang, and W. Yiyan, "Derivation of PAPR distribution for OFDM wireless systems based on extreme value theory," IEEE Trans. Wireless Commun., vol.7, no.4, pp. 1298-1305, Apr. 2008.
25. S. Wei, "Convergence results on broadband wireless communications and their implications," Ph.D. dissertation, Univ. Mass., Amherst, May 2003.
26. S. Rice, "Mathematical analysis of random noise," Bell Syst. Tech. J.l, vol.23, pp. 282-332, Jul. 1944, and Vol. 24: pp. 46-156, Jan. 1945.
27. P. Billingsley, Convergence of Probability Measures. New York: Wiley, 1968.
28. E.Wong and B. Hajek, Stochastic Processes in Engineering Systems. New York: Springer, 1985.
29. R. Durrett, Probability: Theory and Examples, 2nd ed. Boston, MA: Duxbury, 1996.
30. S. G. Wilson, Digital Modulation and Coding. Upper Saddle River, NJ: Prentice-Hall, 1996.
31. E. Biglieri, "Ungerboeck codes do not shape the signal power spectrum," IEEE Trans. Inf. Theory, vol.32, pp. 595-596, Jul. 1986.
32. C. Berrou, A. Glavieux, and P. Thitimajshima, "Near Shannon limit error-correcting coding and decoding: Turbo-codes," in Proc. Int. Conf. Commun., May 1993.
33. C. Withers, "Central limit theorems for dependent variables," Z. Wahrscheinlichkeitstheorie verw. Gebiete, vol.58, pp. 509-534, 1981.
34. M. R. Leadbetter and H. Rootzen, "Extremal theory for stochastic processes," Ann. Probabil., vol.16, pp. 431-478, Apr. 1988.
35. 2 -process and its concomitants," J. Multivar. Analysis, vol.10, pp. 181-206, 1980.
36. 2 -processes with dependent component with application to envelope upcrossings," J. Appl. Probabil., vol.26, pp. 36-49, 1989.