A multi-dimensional approach to the construction and enumeration of Golay complementary sequences
Journal of Combinatorial Theory Series A
Close Encounters with Boolean Functions of Three Different Kinds
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
Reed-Solomon and simplex codes for peak-to-average power ratio reduction in OFDM
IEEE Transactions on Information Theory
Quaternary constant-amplitude codes for multicode CDMA
IEEE Transactions on Information Theory
New QAM golay complementary pairs with unequal sequence power
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Near-complementary sequences of various lengths and low PMEPR for multicarrier communications
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
New 64-QAM Golay complementary sequences
IEEE Transactions on Information Theory
A construction of general QAM Golay complementary sequences
IEEE Transactions on Information Theory
A new construction of 16-QAM near complementary sequences
IEEE Transactions on Information Theory
Constructions of complementary sequences for power-controlled OFDM transmission
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
Generalised complementary arrays
IMACC'11 Proceedings of the 13th IMA international conference on Cryptography and Coding
A complementary construction using mutually unbiased bases
Cryptography and Communications
Hi-index | 755.14 |
Golay sequences are well suited for use as codewords in orthogonal frequency-division multiplexing (OFDM), since their peak-to-mean envelope power ratio (PMEPR) in q-ary phase-shift keying (PSK) modulation is at most 2. It is known that a family of polyphase Golay sequences of length 2m organizes in m!/2 cosets of a q-ary generalization of the first-order Reed-Muller code, RMq(1,m). In this paper, a more general construction technique for cosets of RM q(1,m) with low PMEPR is established. These cosets contain so-called near-complementary sequences. The application of this theory is then illustrated by providing some construction examples. First, it is shown that the m!/2 cosets of RMq(1,m) comprised of Golay sequences just arise as a special case. Second, further families of cosets of RMq(1,m) with maximum PMEPR between 2 and 4 are presented, showing that some previously unexplained phenomena can now be understood within a unified framework. A lower bound on the PMEPR of cosets of RMq(1,m) is proved as well, and it is demonstrated that the upper bound on the PMEPR is tight in many cases. Finally, it is shown that all upper bounds on the PMEPR of cosets of RMq(1,m) also hold for the peak-to-average power ratio (PAPR) under the Walsh-Hadamard transform (WHT)