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.
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Schmidt, KU., Finger, A. (2006). Constructions of Complementary Sequences for Power-Controlled OFDM Transmission. In: Ytrehus, Ø. (eds) Coding and Cryptography. WCC 2005. Lecture Notes in Computer Science, vol 3969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779360_26
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DOI: https://doi.org/10.1007/11779360_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35481-9
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