论文标题
QAM上的非标准Golay互补序列对
Non-standard Golay Complementary Sequence Pair over QAM
论文作者
论文摘要
我们概括了Frank Fiedler等人在2008年给出的构建和列举Golay阵列和序列对的三阶段过程。 [一种多维方法，用于构建和枚举Golay互补序列，杂志《组合理论》，系列A 115（2008）753-776]至$ 4^{q} $ - 基于Para-nittary Matrix方法的$ 4^{q} $ - QAM星座，部分解决了他们的公开问题。我们的工作不仅包括$ 4^{q} $ - 基于布尔函数的$ 4^{q} $ QAM的已知结果的主要部分，基于QPSK上的标准Golay序列对，而且还基于非标准的Golay-QAM，基于非标准的Golay golay array array array airs and qpsk cpsk and qpsk。
We generalize the three-stage process for constructing and enumerating Golay array and sequence pairs given in 2008 by Frank Fiedler et al. [A multi-dimensional approach to the construction and enumeration of Golay complementary sequences, Journal of Combinatorial Theory, Series A 115 (2008) 753-776] to $4^{q}$-QAM constellation based on para-unitary matrix method, which partly solves their open questions. Our work not only includes the main part of known results of Golay complementary sequences over $4^{q}$-QAM based on Boolean functions and standard Golay sequence pairs over QPSK, but also generates new Golay complementary arrays (sequences) over $4^{q}$-QAM based on non-standard Golay array pairs over QPSK.
