N-shift cross-orthogonal sequences
IEEE Transactions on Information Theory
OFDM for Wireless Multimedia Communications
OFDM for Wireless Multimedia Communications
Error Control Coding, Second Edition
Error Control Coding, Second Edition
Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
IEEE Transactions on Information Theory
Generalized Reed-Muller codes and power control in OFDM modulation
IEEE Transactions on Information Theory
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One of the disadvantages of orthogonal frequency division multiplexing (OFDM) systems is the high peak-to-average power ratio (PAPR) of OFDM signals. Golay complementary sets have been proposed to tackle this problem. In this paper, we develop several theorems which can be used to construct Golay complementary sets and multiple-shift complementary sets from Reed-Muller codes. We show that the results of Davis and Jedwab on Golay complementary sequences and those of Paterson and Schmidt on Golay complementary sets can be considered as special cases of our results.