NDLI: On cosets of the generalized first-order reed-muller code with low PMEPR

Content Provider	IEEE Xplore Digital Library
Author	Schmidt, K.-U.
Copyright Year	1963
Abstract	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 2^m organizes in m!/2 cosets of a q-ary generalization of the first-order Reed-Muller code, RM_q(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 RM_q(1,m) comprised of Golay sequences just arise as a special case. Second, further families of cosets of RM_q(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 RM_q(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 RM_q(1,m) also hold for the peak-to-average power ratio (PAPR) under the Walsh-Hadamard transform (WHT)
Sponsorship	IEEE Information Theory Society
Starting Page	3220
Ending Page	3232
Page Count	13
File Size	389900
File Format	PDF
ISSN	00189448
Volume Number	52
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phase shift keying Peak to average power ratio OFDM modulation Upper bound Frequency division multiplexing Phase modulation Modulation coding Power control Block codes Protection Walsh–Hadamard Aperiodic code complementary correlation Golay orthogonal frequency-division multiplexing (OFDM) peak-to-average power ratio (PAPR) peak-to-mean envelope power ratio (PMEPR) Reed–Muller Rudin–Shapiro sequence
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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