摘要 |
An input signal is encoded using a multicarrier code that provides a PEP reduction of 3k [dB] and a minimum distance d<SUB>min</SUB>=√{square root over (2<SUP>k</SUP>)} d, by restricting the code so as to have one or more 2<SUP>k+1</SUP>-carrier kernels in which |Deltatheta(2<SUP>k</SUP>)-Deltatheta*(2<SUP>k</SUP>)|≡pi (for any k) holds for the phase difference Deltatheta(2<SUP>k</SUP>) between a set of 2<SUP>k-1 </SUP>carriers and another set of 2<SUP>k-1 </SUP>carriers and the phase difference Deltatheta*(2<SUP>k</SUP>) between a set of 2<SUP>k-1 </SUP>carriers and another set of 2<SUP>k-1 </SUP>carriers, where k is an integer not smaller than 1. By setting k to 1, and by further providing the condition |Deltatheta(2<SUP>k</SUP>)-Deltatheta*(2<SUP>k</SUP>)|=pi/2 between two kinds of 4-carrier kernels one equal in number to the other, a PEP reduction of 3.7 dB and d<SUB>min</SUB>=√{square root over (2 d can be achieved. By extending the code length using these two kinds of 4-carrier kernels as basic units, a PEP reduction of 3k+0.7 [dB] and d<SUB>min</SUB>=√{square root over (2<SUP>k</SUP>)} d can be achieved.
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