A construction of OFDM 16-QAM sequences having low peak powers

Using a realization of 16-QAM as set addition of two scaled versions of the 4-PSK constellation, we construct 16-QAM sequences having low peak-to-mean envelope power ratios (PMEPR) from 4-PSK Golay sequences. Various upper bounds on the peak envelope powers of these sequences are established. Transmission using these sequences provides twice as much rate as transmission using complementary Golay sequences with a maximum PMEPR of 3.6 (5.56 dB).

[1]  M. L. Doelz,et al.  Binary Data Transmission Techniques for Linear Systems , 1957, Proceedings of the IRE.

[2]  Jonathan Jedwab,et al.  Peak-to-mean power control and error correction for OFDM transmission using Golay sequences and Reed-Muller codes , 1997 .

[3]  R. Chang.  Synthesis of band-limited orthogonal signals for multichannel data transmission , 1966 .

[4]  James A. Davis,et al.  Peak-to-mean power control in OFDM, Golay complementary sequences and Reed-Muller codes , 1998, Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252).

[5]  Dilip V. Sarwate.  An upper bound on the aperiodic autocorrelation function for a maximal-length sequence , 1984, IEEE Trans. Inf. Theory.

[6]  H. Imai,et al.  Block Coding Scheme Based on Complementary Sequences for Multicarrier Signals , 1997 .

[7]  G. Porter.  Error Distribution and Diversity Performance of a Frequency-Differential PSK HF Modem , 1968 .

[8]  Marcel J. E. Golay,et al.  Complementary series , 1961, IRE Trans. Inf. Theory.

[9]  R. Chang,et al.  A Theoretical Study of Performance of an Orthogonal Multiplexing Data Transmission Scheme , 1968 .

[10]  R.D.J. van Nee,et al.  OFDM codes for peak-to-average power reduction and error correction , 1996 .

[11]  J. Salz,et al.  Fourier transform communication system , 1969, Symposium on Problems in the Optimization of Data Communications Systems.

[12]  Kenneth G. Paterson,et al.  Efficient Decoding Algorithms for Generalised Reed-Muller Codes , 1998 .

[13]  Kenneth G. Paterson,et al.  Generalized Reed-Muller codes and power control in OFDM modulation , 1998, IEEE Trans. Inf. Theory.

[14]  Alex J. Grant,et al.  Efficient maximum-likelihood decoding of Q-ary modulated Reed-Muller codes , 1998, IEEE Communications Letters.

[15]  S. Weinstein,et al.  Data Transmission by Frequency-Division Multiplexing Using the Discrete Fourier Transform , 1971 .

[16]  P. Bello.  Selectrive Fading Limitations of the Kathryn Modem and Some System Design Considerations , 1965 .

[17]  B. Saltzberg,et al.  Performance of an Efficient Parallel Data Transmission System , 1967, IEEE Transactions on Communication Technology.

[18]  A. Kirsch,et al.  The AN/GSC-10 (KATHRYN) Variable Rate Data Modem for HF Radio , 1967 .

[19]  N. J. A. Sloane,et al.  The Z4-linearity of Kerdock, Preparata, Goethals, and related codes , 1994, IEEE Trans. Inf. Theory.