A new construction of 64-QAM golay complementary sequences

In this correspondence, we present a new construction for 64-QAM Golay sequences of length n=2/sup m/ for integer m. The peak envelope power (PEP) of 64-QAM Golay sequences is shown to be bounded by 4.66n. The new construction of 64-QAM Golay sequences of length n=2/sup m/ is based on our earlier construction of new offsets of 16-QAM Golay sequences which are also presented here. The total number of offsets of 64-QAM Golay sequences is 496 for m=2,808 for m=3 and 976 for m=4, obtained by computer search. We also computed the PEP distribution for 64-QAM Golay sequences for m=2, m=3, and m=4.

[1]  Axthonv G. Oettinger,et al.  IEEE Transactions on Information Theory , 1998 .

[2]  J.A.C. Bingham,et al.  Multicarrier modulation for data transmission: an idea whose time has come , 1990, IEEE Communications Magazine.

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

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

[5]  Dov Wulich,et al.  Reduction of peak to mean ratio of multicarrier modulation using cyclic coding , 1996 .

[6]  Hans-Peter Kuchenbecker,et al.  Minimization of the Intermodulation Distortion of a Nonlinearly Amplified OFDM Signal , 1997, Wirel. Pers. Commun..

[7]  J. Huber,et al.  OFDM with reduced peak-to-average power ratio by optimum combination of partial transmit sequences , 1997 .

[8]  T. Wilkinson,et al.  Combined coding for error control and increased robustness to system nonlinearities in OFDM , 1996, Proceedings of Vehicular Technology Conference - VTC.

[9]  Irving S. Reed,et al.  A class of multiple-error-correcting codes and the decoding scheme , 1954, Trans. IRE Prof. Group Inf. Theory.

[10]  Hamid Jafarkhani,et al.  On the computation and reduction of the peak-to-average power ratio in multicarrier communications , 2000, IEEE Trans. Commun..

[11]  Vahid Tarokh,et al.  A construction of OFDM 16-QAM sequences having low peak powers , 2001, IEEE Trans. Inf. Theory.

[12]  MARCEL J. E. GOLAY,et al.  Sieves for low autocorrelation binary sequences , 1977, IEEE Trans. Inf. Theory.

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

[14]  T. Wilkinson,et al.  Minimisation of the peak to mean envelope power ratio of multicarrier transmission schemes by block coding , 1995, 1995 IEEE 45th Vehicular Technology Conference. Countdown to the Wireless Twenty-First Century.

[15]  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).

[16]  S. Boyd Multitone signals with low crest factor , 1986 .

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

[18]  Branislav M. Popovic,et al.  Synthesis of power efficient multitone signals with flat amplitude spectrum , 1991, IEEE Trans. Commun..

[19]  Vahid Tarokh,et al.  A new construction of 16-QAM Golay complementary sequences , 2003, IEEE Trans. Inf. Theory.

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

[21]  Leonard J. Cimini,et al.  Analysis and Simulation of a Digital Mobile Channel Using Orthogonal Frequency Division Multiplexing , 1985, IEEE Trans. Commun..

[22]  Mathias Friese,et al.  Multitone signals with low crest factor , 1997, IEEE Trans. Commun..

[23]  Ramjee Prasad,et al.  OFDM for Wireless Multimedia Communications , 1999 .

[24]  Kenneth G. Paterson,et al.  On the existence and construction of good codes with low peak-to-average power ratios , 2000, IEEE Trans. Inf. Theory.

[25]  Xiaodong Li,et al.  Effects of clipping and filtering on the performance of OFDM , 1998, IEEE Communications Letters.

[26]  O. Antoine,et al.  Theory of Error-correcting Codes , 2022 .

[27]  M. Friese,et al.  Multicarrier modulation with low peak-to-average power ratio , 1996 .

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

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

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

[31]  Hamid R. Sadjadpour,et al.  Construction of OFDM M-QAM sequences with low peak-to-average power ratio , 2003, IEEE Trans. Commun..

[32]  Robert F. H. Fischer,et al.  OFDM with reduced peak-to-average power ratio by multiple signal representation , 1997, Ann. des Télécommunications.