The Minimum PAPR Code for OFDM Systems

Authors: Inderjeet Kaur, M. Kulkarni, Daya Gupta, Kamal Thakur, Janki Arora

Abstract:

In this paper, a block code to minimize the peak-toaverage power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) signals is proposed. It is shown that cyclic shift and codeword inversion cause not change to peak envelope power. The encoding rule for the proposed code comprises of searching for a seed codeword, shifting the register elements, and determining codeword inversion, eliminating the look-up table for one-to-one correspondence between the source and the coded data. Simulation results show that OFDM systems with the proposed code always have the minimum PAPR.

Keywords: Wireless communications, OFDM, peak-to averagepower ratio, peak envelope power, block codes.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334946

References:

[1] EBU, Digital Video Broadcasting: Framing Structure, Channel Coding, and Modulation for Digital Terrestrial Television, Draft EN300744, V1.2.1, Geneva, Switzerland, Jan. 1999.
[2] IEEE Std. 801.11a, Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications: High-Speed Physical Layer in the 5 GHz Band, Piscataway, New Jersey, Sep. 1999.
[3] J.A. Davis and J. Jedwab, "Peak-to-Mean Power Control in OFDM, Golay Complementary Sequences, and Reed-Muller Codes," IEEE Trans. Inform. Theory, vol. 45, no. 7, Nov. 1999, pp. 2397-2417.
[4] H. Ochiai and H. Imai, "Block Coding Scheme Based on Complementary Sequences for Multicarrier Signals," IEICE Trans. Fundamentals, vol. E80-A, no. 11, Nov. 1997, pp. 2136-2143.
[5] 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," Electron. Lett., vol. 30, no. 25, Dec. 1994, pp. 2098-2099.
[6] S.G. Kang, J.G. Kim, and E.K. Joo, "A Novel Subblock Partition Scheme for Partial Transmit Sequence OFDM," IEEE Trans. Broadcast., vol. 45, no. 3, Sept. 1999, pp. 333-338.
[7] X. Wang, T.T. Tjhung, and C.S. Ng, "Reduction of Peak-to-Average Power Ratio of OFDM System Using a Companding Technique," IEEE Trans. Broadcast., vol. 45, no. 3, Sept. 1999, pp. 303-307.
[8] C.-L. Wang, M.-Y. Hsu, and Y. Ouyang, "A Low-Complexity Peak-To- Average Power Ratio Reduction Technique for OFDM System," Proc. IEEE Globecom-03, San Francisco, CA, vol. 4, Dec. 2003, pp. 2375- 2379.