A new construction of 16-QAM golay complementary sequences

Chan Vee Chong, R. Venkataramani, V. Tarokh
2003 IEEE Transactions on Information Theory  
We present a new construction of 16-QAM Golay sequences of length = 2 . The number of constructed sequences is (14 + 12 )( ! 2)4 +1 . When employed as a code in an orthogonal frequency-division multiplexing (OFDM) system; this set of sequences has a peak-to-mean envelope power ratio (PMEPR) of 3 6. By considering two specific subsets of these sequences, we obtain new codes with PMEPR bounds of 2 0 and 2 8 and respective code sizes of (2 + 2 )( ! 2)4 +1 and (4 + 4 )( ! 2)4 +1 . These are larger
more » ... han previously known codes for the same PMEPR bounds. Index Terms-Golay complementary sequences, orthogonal frequency-division multiplexing (OFDM), Reed-Muller codes.
doi:10.1109/tit.2003.818418 fatcat:m4qersuobbf4ve6m2eklreia3m