Identifying a class of multiple shift complementary sequences in the second order cosets of the first order Reed-Muller codes

Abstract

Multiple-shift complementary sequences (MCS), a generalized form of Golay complementary sequences, have recently been introduced to encode OFDM signals, allowing a better trade-off between the code rate and peak-to-mean envelope power ratio (PMEPR). However, a table of such sequences needs to be constructed by exhaustive search, a practically impossible task for a moderately large number of sub-carriers. As has been done for Golay complementary sequences and generalized Golay complementary sequences, this paper successfully identifies a class of MCS as the second order cosets of the first order ReedMuller codes. We also present a new proof for the PMEPR of MCS.

DOI: 10.1109/ICC.2005.1494425

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Cite this paper

@inproceedings{Chen2005IdentifyingAC, title={Identifying a class of multiple shift complementary sequences in the second order cosets of the first order Reed-Muller codes}, author={Wen Chen and Chintha Tellambura}, booktitle={ICC}, year={2005} }