Sequences for OFDM and Multi-Code CDMA: Two Problems in Algebraic Coding Theory

  • Kenneth G. Paterson
Part of the Discrete Mathematics and Theoretical Computer Science book series (DISCMATH)


We study the peak-to-average power ratio (PAPR) problem for two different kinds of communications systems, Orthogonal Frequency Division Multiplexing (OFDM) and Multi-Code Code-Division Multiple Access (MC-CDMA). We describe a common coding theoretic approach to reducing the PAPR of both kinds of transmissions. In both cases, the classical Reed-Muller codes turn out to play a critical role. There is an intimate connection between Reed-Muller codes and Golay complementary sequences which can be exploited to produce codes suitable for OFDM. For MC-CDMA, it turns out that bent functions lead to transmissions with ideal power characteristics. In this way, the problem of finding good codes for OFDM and MC-CDMA can be closely related to some old and new problems in algebraic coding theory and sequence design.


Boolean Function Power Ratio Bend Function Bent Function Kerdock Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London 2002

Authors and Affiliations

  • Kenneth G. Paterson
    • 1
  1. 1.Hewlett-Packard LaboratoriesStoke GiffordUK

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