16-QAM Golay Complementary Sequence Sets with Arbitrary Lengths

In an orthogonal frequency division multiplexing (OFDM) communication system, the reduction of peak-to-mean envelope power ratio (PMEPR) is one of crucial issues. It is all known that in an OFDM system, Golay complementary sequence (CS) pairs result in lowest upper bound 2 of PMEPR. Hence, this letter focuses on constructions of 16-QAM Golay CS sets. The proposed two constructions can produce the required sequences with arbitrary lengths, including lots of unknown ones in the existing references, if there exist the quaternary Golay CS sets of such lengths, and the PMEPRs of the Golay CS pairs from both are at most 2. As a consequence, the resultant sequences by this letter can be used as the inputs of using non-radix-2 inverse fast Fourier transform (IFFT) in the time domain OFDM signals.

[1]  Jonathan Jedwab,et al.  Quaternary Golay sequence pairs I: even length , 2011, Des. Codes Cryptogr..

[2]  Ying Li,et al.  New 64-QAM Golay Complementary Sequences , 2010, IEEE Transactions on Information Theory.

[3]  Ying Li.  A Construction of General QAM Golay Complementary Sequences , 2010, IEEE Transactions on Information Theory.

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

[5]  Fanxin Zeng,et al.  New construction method for quaternary aperiodic, periodic, and Z-complementary sequence sets , 2012, Journal of Communications and Networks.

[6]  J. Jedwab,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).

[7]  Fanxin Zeng,et al.  16-QAM Golay, Periodic and Z- Complementary Sequence Sets , 2012, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[8]  Fanxin Zeng,et al.  New Constructions of 16-QAM Periodic Complementary Sequences , 2012, IEEE Communications Letters.

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

[10]  Fanxin Zeng,et al.  Almost Perfect Sequences and Periodic Complementary Sequence Pairs over the 16-QAM Constellation , 2012, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[11]  Ying Li.  Comments on "A New Construction of 16-QAM Golay Complementary Sequences" and Extension for 64-QAM Golay Sequences , 2008, IEEE Trans. Inf. Theory.

[12]  Martin Vetterli,et al.  Fast Fourier transforms: a tutorial review and a state of the art , 1990 .

[13]  Fanxin Zeng,et al.  8-QAM+ Periodic Complementary Sequence Sets , 2012, IEEE Communications Letters.

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

[15]  Pingzhi Fan,et al.  SEQUENCE DESIGN FOR COMMUNICATIONS APPLICATIONS , 1996 .

[16]  Fanxin Zeng,et al.  Quaternary periodic complementary/Z-complementary sequence sets based on interleaving technique and Gray mapping , 2012, Adv. Math. Commun..

[17]  H. Sadjadpour.  Construction of non-square M-QAM sequences with low PMEPR for OFDM systems , 2004 .

[18]  Ying Li,et al.  New Constructions of General QAM Golay Complementary Sequences , 2013, IEEE Transactions on Information Theory.

[19]  Solomon W. Golomb,et al.  A new construction of 64-QAM golay complementary sequences , 2006, IEEE Transactions on Information Theory.