Title :
More Golay sequences
Author :
Li, Ying ; Chu, Wen Bin
Author_Institution :
Commun. Eng. Dept., Yuan Ze Univ., Taoyuan, Taiwan
fDate :
3/1/2005 12:00:00 AM
Abstract :
Davis and Jedwab´s construction of Golay sequences as Reed Muller codewords was believed to generate possibly all Golay sequences over Z2h of length 2m. From exhaustive search, 1024 quaternary (h=2) Golay sequences of length 16 (m=4) are found which are not within Davis and Jedwab´s construction. A table of 16 characteristic sequences is presented from which all 1024 Golay sequences can be reconstructed. The pairing information and the PAPR´s of associated OFDM signals are given.
Keywords :
OFDM modulation; Reed-Muller codes; binary sequences; Davis construction; Golay sequences; Jedwab´s construction; OFDM signals; PAPR; Reed Muller codeword; exhaustive search; orthogonal frequency-division multiplexing; peak-to-average power ratio; Arithmetic; Autocorrelation; Bluetooth; Frequency; Golay Sequence; OFDM; PAPR;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.842775