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arXiv 1607.03341cs.ITmath.IT
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在OFDM系统中具有低PMEPR的新的16- QAM和64- QAM近互补序列

Novel 16-QAM and 64-QAM Near-Complementary Sequences with Low PMEPR in OFDM Systems

Tao Jiang, Chunxing Ni, Yuance Xu

摘要:

本文首先提出了一种新的正交频分复用(OFDM)系统中低峰均包络功率比(PMEPR)正交幅度调制(QAM)准互补序列$16$的构造方法。所提出的$16$近互补序列可以通过利用新的非线性偏移来构造,其中序列的长度为$n=2^m$。新构造的$16$近互补序列的族大小为$8\times (\frac{m!}{2})\times 4^{m+1}$,并证明了这些序列的PMEPR满足${\textrm{PMEPR}}\leq 2.4$ .因此,该结构可以产生多个具有低PMEPR的$16$ -QAM近互补序列,从而提高了OFDM系统的码率。此外,我们还提出了一种新的具有低PMEPR的$64$-QAM近互补序列的构造,这是第一个证明的$64$-QAM近互补序列的构造。证明了两类$64$-QAM近互补序列的PMEPR分别满足${\textrm{PMEPR}}\leq 3.62$或${\textrm{PMEPR}}\leq 2.48$。新构造的$64$-QAM近互补序列的家族大小为$64\times (\frac{m!}{2})\times 4^{m+1}$。

英文摘要:

In this paper, we firstly propose a novel construction of $16$-quadrature amplitude modulation (QAM) near-complementary sequences with low peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. The proposed $16$-QAM near-complementary sequences can be constructed by utilizing novel nonlinear offsets, where the length of the sequences is $n=2^m$. The family size of the newly constructed $16$-QAM near-complementary sequences is $8\times (\frac{m!}{2})\times 4^{m+1}$, and the PMEPR of these sequences is proven to satisfy ${\textrm{PMEPR}}\leq 2.4$. Thus, the proposed construction can generate a number of $16$-QAM near-complementary sequences with low PMEPR, resulting in the improvement of the code rate in OFDM systems. Furthermore, we also propose a novel construction of $64$-QAM near-complementary sequences with low PMEPR, which is the first proven construction of $64$-QAM near-complementary sequences. The PMEPRs of two types of the proposed $64$-QAM near-complementary sequences are proven to satisfy that ${\textrm{PMEPR}}\leq 3.62$ or ${\textrm{PMEPR}}\leq 2.48$, respectively. The family size of the newly constructed $64$-QAM near-complementary sequences is $64\times (\frac{m!}{2})\times 4^{m+1}$.

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