Complementary sets, generalized Reed-Muller codes, and power control for OFDM

IEEE Transactions on Information Theory

Volumn 53, Issue 2, 2007, Pages 808-814

  Schmidt, Kai Uwe ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Code; Complementary; Correlation; Golay; Orthogonal frequency division multiplexing (OFDM); Peak to mean envelope power ratio (PMEPR); Reed Muller; Sequence; Set

Indexed keywords

BOOLEAN FUNCTIONS; CODES (SYMBOLS); CORRELATION THEORY; ERROR CORRECTION;

PEAK-TO-MEAN ENVELOPE POWER RATIO; REED-MULLER CODES;

ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING;

EID: 33847630355     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.889723     Document Type: Article

References (18)

1. A. R. Calderbank and N. J. A. Sloane, "Modular and p-adic cyclic codes," Designs, Codes, Cryptogr., vol. 6, pp. 21-35, 1995.
2. C.-Y. Chen, C.-H. Wang, and C.-C. Chao, "Complementary sets and Reed-Muller codes for peak-to-average power ratio reduction in OFDM," in Proc. of 16th AAECC Symp. (Lecture Notes in Computer Science), 2006, vol. 3857, pp. 317-327.
3. J. H. Conway and N. J. A. Sloane, "Soft decoding techniques for codes and lattices, including the Golay code and the Leech lattice," IEEE Trans. Inf. Theory, vol. 32, no. 1, pp. 41-50, Jan. 1986.
4. J. A. Davis and J. Jedwab, "Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes," IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2397-2417, Nov. 1999.
5. M. J. E. Golay, "Complementary series," IRE Trans. Inf. Theory, vol. 7, no. 2, pp. 82-87, Apr. 1961.
6. 1-linearity of Kerdock, Preparata, Goethals and related codes," IEEE Trans. Inf. Theory, vol. 40, no. 2, pp. 301-319, Mar. 1994.
7. A. E. Jones and T. A. Wilkinson, "Combined coding for error control and increased robustness to system nonlinearities in OFDM," in Proc. IEEE 46th Veh. Technol. Conf. (VTC), Atlanta, GA, Apr. 1996, pp. 904-908.
8. 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 schemes," IEE Electron. Lett., vol. 30, no. 25, pp. 2098-2099, Dec. 1994.
9. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North Holland Mathematical Library, 1977.
10. H. Ochiai and H. Imai, "Block coding scheme based on complementary sequences for multicarrier signals," IEICE Trans. Fundamentals, vol. E80-A, pp. 2136-2146, Nov. 1997.
11. M. G. Parker and C. Tellambura, "A Construction for Binary Sequence Sets With Low Peak-to-Average Power Ratio" Department of Informatics, University of Bergen, Norway, 2003 [Online]. Available: http://www.ii.uib.no/~matthew/ConstructReport.pdf
12. K. G. Paterson, "Generalized Reed-Muller codes and power control in OFDM modulation," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 104-120, Jan. 2000.
13. K. G. Paterson and V. Tarokh, "On the existence and construction of good codes with low peak-to-average power ratios," IEEE Trans. Inf. Theory, vol. 46, no. 6, pp. 1974-1987, Sep. 2000.
14. B. M. Popović, "Synthesis of power efficient multitone signals with flat amplitude spectrum," IEEE Trans. Commun., vol. 39, no. 7, pp. 1031-1033, Jul. 1991.
15. K.-U. Schmidt, "On cosets of the generalized first-order Reed-Muller code with low PMEPR," IEEE Trans. Inf. Theory, vol. 52, no. 7, pp. 3220-3232, Jul. 2006.
16. m Sequences, Complementarity, and Power Control for OFDM" Ph.D. dissertation, University of London, London, U.K., 2000.
17. R. D. J. van Nee, "OFDM codes for peak-to-average power reduction and error correction," in Proc. IEEE Global Telecommun. Conf. (GLOBECOM), London, U.K, Nov. 1996, pp. 740-744.
18. T. A. Wilkinson and A. E. Jones, "Minimization of the peak to mean envelope power ratio of multicarrier transmission schemes by block coding," in Proc. IEEE Veh. Technol. Conf. (VTC), Chicago, IL, Jul. 1995, pp. 825-829.