Constructions of complementary sequences for power-controlled OFDM transmission

Authors:
Kai-Uwe Schmidt;Adolf Finger
Affiliations:
Communications Laboratory, Technische Universität Dresden, Dresden, Germany;Communications Laboratory, Technische Universität Dresden, Dresden, Germany
Venue:
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
Year:
2005

Citing 4
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Generalized Reed-Muller codes and power control in OFDM modulation

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

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Complementary Sets, Generalized Reed–Muller Codes, and Power Control for OFDM

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Abstract

We present constructions of polyphase sequences suitable for the use as codewords in orthogonal frequency-division multiplexing (OFDM) with strictly bounded peak-to-mean envelope power ratio (PMEPR). Our first construction establishes that each polyphase sequence of length 2m lies in a complementary set, whose size depends on a special property of its associated generalized Boolean function. Thus we identify a large family of sequences with PMEPR at most 2k+1, where k is a non-negative integer. Our second construction yields sequences that lie in so-called almost complementary pairs and have PMEPR at most 3. A number of coding schemes for OFDM with low PMEPR is then presented. These schemes extend and complement previously proposed coding options.